Index – S S() (sage.schemes.elliptic_curves.height.EllipticCurveCanonicalHeight method) S_integral_points() (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method) S_to_Q() (sage.schemes.hyperelliptic_curves.hyperelliptic_padic_field.HyperellipticCurve_padic_field method) sage.interfaces.genus2reduction module sage.schemes.elliptic_curves.cm module sage.schemes.elliptic_curves.constructor module sage.schemes.elliptic_curves.descent_two_isogeny module sage.schemes.elliptic_curves.ec_database module sage.schemes.elliptic_curves.ell_curve_isogeny module sage.schemes.elliptic_curves.ell_egros module sage.schemes.elliptic_curves.ell_field module sage.schemes.elliptic_curves.ell_finite_field module sage.schemes.elliptic_curves.ell_generic module sage.schemes.elliptic_curves.ell_local_data module sage.schemes.elliptic_curves.ell_modular_symbols module sage.schemes.elliptic_curves.ell_number_field module sage.schemes.elliptic_curves.ell_padic_field module sage.schemes.elliptic_curves.ell_point module sage.schemes.elliptic_curves.ell_rational_field module sage.schemes.elliptic_curves.ell_tate_curve module sage.schemes.elliptic_curves.ell_torsion module sage.schemes.elliptic_curves.ell_wp module sage.schemes.elliptic_curves.formal_group module sage.schemes.elliptic_curves.gal_reps module sage.schemes.elliptic_curves.gal_reps_number_field module sage.schemes.elliptic_curves.gp_simon module sage.schemes.elliptic_curves.heegner module sage.schemes.elliptic_curves.height module sage.schemes.elliptic_curves.hom module sage.schemes.elliptic_curves.hom_composite module sage.schemes.elliptic_curves.hom_frobenius module sage.schemes.elliptic_curves.hom_scalar module sage.schemes.elliptic_curves.hom_sum module sage.schemes.elliptic_curves.hom_velusqrt module sage.schemes.elliptic_curves.isogeny_class module sage.schemes.elliptic_curves.isogeny_small_degree module sage.schemes.elliptic_curves.jacobian module sage.schemes.elliptic_curves.kodaira_symbol module sage.schemes.elliptic_curves.lseries_ell module sage.schemes.elliptic_curves.mod5family module sage.schemes.elliptic_curves.mod_poly module sage.schemes.elliptic_curves.mod_sym_num module sage.schemes.elliptic_curves.modular_parametrization module sage.schemes.elliptic_curves.padic_lseries module sage.schemes.elliptic_curves.period_lattice module sage.schemes.elliptic_curves.period_lattice_region module sage.schemes.elliptic_curves.Qcurves module sage.schemes.elliptic_curves.saturation module sage.schemes.elliptic_curves.sha_tate module sage.schemes.elliptic_curves.weierstrass_morphism module sage.schemes.elliptic_curves.weierstrass_transform module sage.schemes.hyperelliptic_curves.constructor module sage.schemes.hyperelliptic_curves.hypellfrob module sage.schemes.hyperelliptic_curves.hyperelliptic_finite_field module sage.schemes.hyperelliptic_curves.hyperelliptic_g2 module sage.schemes.hyperelliptic_curves.hyperelliptic_generic module sage.schemes.hyperelliptic_curves.hyperelliptic_padic_field module sage.schemes.hyperelliptic_curves.hyperelliptic_rational_field module sage.schemes.hyperelliptic_curves.invariants module sage.schemes.hyperelliptic_curves.jacobian_g2 module sage.schemes.hyperelliptic_curves.jacobian_generic module sage.schemes.hyperelliptic_curves.jacobian_homset module sage.schemes.hyperelliptic_curves.jacobian_morphism module sage.schemes.hyperelliptic_curves.kummer_surface module sage.schemes.hyperelliptic_curves.mestre module sage.schemes.hyperelliptic_curves.monsky_washnitzer module satisfies_heegner_hypothesis() (in module sage.schemes.elliptic_curves.heegner) (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method) (sage.schemes.elliptic_curves.heegner.HeegnerQuatAlg method) satisfies_kolyvagin_hypothesis() (sage.schemes.elliptic_curves.heegner.HeegnerPointOnEllipticCurve method) (sage.schemes.elliptic_curves.heegner.HeegnerPoints_level_disc_cond method) (sage.schemes.elliptic_curves.heegner.KolyvaginPoint method) satisfies_weak_heegner_hypothesis() (in module sage.schemes.elliptic_curves.heegner) saturation() (sage.schemes.elliptic_curves.ell_number_field.EllipticCurve_number_field method) (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method) scalar_multiplication() (sage.schemes.elliptic_curves.ell_generic.EllipticCurve_generic method) scalar_multiply() (sage.schemes.hyperelliptic_curves.monsky_washnitzer.SpecialCubicQuotientRingElement method) scale_curve() (sage.schemes.elliptic_curves.ell_generic.EllipticCurve_generic method) scaling_factor() (sage.schemes.elliptic_curves.ell_curve_isogeny.EllipticCurveIsogeny method) (sage.schemes.elliptic_curves.hom.EllipticCurveHom method) (sage.schemes.elliptic_curves.hom_composite.EllipticCurveHom_composite method) (sage.schemes.elliptic_curves.hom_frobenius.EllipticCurveHom_frobenius method) (sage.schemes.elliptic_curves.hom_scalar.EllipticCurveHom_scalar method) (sage.schemes.elliptic_curves.hom_sum.EllipticCurveHom_sum method) (sage.schemes.elliptic_curves.hom_velusqrt.EllipticCurveHom_velusqrt method) (sage.schemes.elliptic_curves.weierstrass_morphism.WeierstrassIsomorphism method) scheme() (sage.schemes.hyperelliptic_curves.jacobian_morphism.JacobianMorphism_divisor_class_field method) selmer_rank() (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method) separable_degree() (sage.schemes.elliptic_curves.hom.EllipticCurveHom method) series() (sage.schemes.elliptic_curves.padic_lseries.pAdicLseriesOrdinary method) (sage.schemes.elliptic_curves.padic_lseries.pAdicLseriesSupersingular method) set_order() (sage.schemes.elliptic_curves.ell_finite_field.EllipticCurve_finite_field method) (sage.schemes.elliptic_curves.ell_point.EllipticCurvePoint_field method) sextic_twist() (sage.schemes.elliptic_curves.ell_field.EllipticCurve_field method) Sha (class in sage.schemes.elliptic_curves.sha_tate) sha() (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method) shift() (sage.schemes.hyperelliptic_curves.monsky_washnitzer.SpecialCubicQuotientRingElement method) short_weierstrass_model() (sage.schemes.elliptic_curves.ell_generic.EllipticCurve_generic method) sigma() (sage.schemes.elliptic_curves.formal_group.EllipticCurveFormalGroup method) (sage.schemes.elliptic_curves.period_lattice.PeriodLattice_ell method) sign() (sage.schemes.elliptic_curves.ell_modular_symbols.ModularSymbol method) silverman_height_bound() (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method) simon_two_descent() (in module sage.schemes.elliptic_curves.gp_simon) (sage.schemes.elliptic_curves.ell_number_field.EllipticCurve_number_field method) (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method) simplest_rational_poly() (in module sage.schemes.elliptic_curves.heegner) Sn() (sage.schemes.elliptic_curves.height.EllipticCurveCanonicalHeight method) solve_linear_differential_system() (in module sage.schemes.elliptic_curves.ell_wp) special_supersingular_curve() (in module sage.schemes.elliptic_curves.ell_finite_field) SpecialCubicQuotientRing (class in sage.schemes.hyperelliptic_curves.monsky_washnitzer) SpecialCubicQuotientRingElement (class in sage.schemes.hyperelliptic_curves.monsky_washnitzer) SpecialHyperellipticQuotientElement (class in sage.schemes.hyperelliptic_curves.monsky_washnitzer) SpecialHyperellipticQuotientRing (class in sage.schemes.hyperelliptic_curves.monsky_washnitzer) SpecialHyperellipticQuotientRing_class (in module sage.schemes.hyperelliptic_curves.monsky_washnitzer) square() (sage.schemes.hyperelliptic_curves.monsky_washnitzer.SpecialCubicQuotientRingElement method) Step4Test() (in module sage.schemes.elliptic_curves.Qcurves) summands() (sage.schemes.elliptic_curves.hom_sum.EllipticCurveHom_sum method) supersingular_j_polynomial() (in module sage.schemes.elliptic_curves.ell_finite_field) supersingular_primes() (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method) sympow() (sage.schemes.elliptic_curves.lseries_ell.Lseries_ell method) sympow_derivs() (sage.schemes.elliptic_curves.lseries_ell.Lseries_ell method)
Index – S S() (sage.schemes.elliptic_curves.height.EllipticCurveCanonicalHeight method) S_integral_points() (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method) S_to_Q() (sage.schemes.hyperelliptic_curves.hyperelliptic_padic_field.HyperellipticCurve_padic_field method) sage.interfaces.genus2reduction module sage.schemes.elliptic_curves.cm module sage.schemes.elliptic_curves.constructor module sage.schemes.elliptic_curves.descent_two_isogeny module sage.schemes.elliptic_curves.ec_database module sage.schemes.elliptic_curves.ell_curve_isogeny module sage.schemes.elliptic_curves.ell_egros module sage.schemes.elliptic_curves.ell_field module sage.schemes.elliptic_curves.ell_finite_field module sage.schemes.elliptic_curves.ell_generic module sage.schemes.elliptic_curves.ell_local_data module sage.schemes.elliptic_curves.ell_modular_symbols module sage.schemes.elliptic_curves.ell_number_field module sage.schemes.elliptic_curves.ell_padic_field module sage.schemes.elliptic_curves.ell_point module sage.schemes.elliptic_curves.ell_rational_field module sage.schemes.elliptic_curves.ell_tate_curve module sage.schemes.elliptic_curves.ell_torsion module sage.schemes.elliptic_curves.ell_wp module sage.schemes.elliptic_curves.formal_group module sage.schemes.elliptic_curves.gal_reps module sage.schemes.elliptic_curves.gal_reps_number_field module sage.schemes.elliptic_curves.gp_simon module sage.schemes.elliptic_curves.heegner module sage.schemes.elliptic_curves.height module sage.schemes.elliptic_curves.hom module sage.schemes.elliptic_curves.hom_composite module sage.schemes.elliptic_curves.hom_frobenius module sage.schemes.elliptic_curves.hom_scalar module sage.schemes.elliptic_curves.hom_sum module sage.schemes.elliptic_curves.hom_velusqrt module sage.schemes.elliptic_curves.isogeny_class module sage.schemes.elliptic_curves.isogeny_small_degree module sage.schemes.elliptic_curves.jacobian module sage.schemes.elliptic_curves.kodaira_symbol module sage.schemes.elliptic_curves.lseries_ell module sage.schemes.elliptic_curves.mod5family module sage.schemes.elliptic_curves.mod_poly module sage.schemes.elliptic_curves.mod_sym_num module sage.schemes.elliptic_curves.modular_parametrization module sage.schemes.elliptic_curves.padic_lseries module sage.schemes.elliptic_curves.period_lattice module sage.schemes.elliptic_curves.period_lattice_region module sage.schemes.elliptic_curves.Qcurves module sage.schemes.elliptic_curves.saturation module sage.schemes.elliptic_curves.sha_tate module sage.schemes.elliptic_curves.weierstrass_morphism module sage.schemes.elliptic_curves.weierstrass_transform module sage.schemes.hyperelliptic_curves.constructor module sage.schemes.hyperelliptic_curves.hypellfrob module sage.schemes.hyperelliptic_curves.hyperelliptic_finite_field module sage.schemes.hyperelliptic_curves.hyperelliptic_g2 module sage.schemes.hyperelliptic_curves.hyperelliptic_generic module sage.schemes.hyperelliptic_curves.hyperelliptic_padic_field module sage.schemes.hyperelliptic_curves.hyperelliptic_rational_field module sage.schemes.hyperelliptic_curves.invariants module sage.schemes.hyperelliptic_curves.jacobian_g2 module sage.schemes.hyperelliptic_curves.jacobian_generic module sage.schemes.hyperelliptic_curves.jacobian_homset module sage.schemes.hyperelliptic_curves.jacobian_morphism module sage.schemes.hyperelliptic_curves.kummer_surface module sage.schemes.hyperelliptic_curves.mestre module sage.schemes.hyperelliptic_curves.monsky_washnitzer module satisfies_heegner_hypothesis() (in module sage.schemes.elliptic_curves.heegner) (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method) (sage.schemes.elliptic_curves.heegner.HeegnerQuatAlg method) satisfies_kolyvagin_hypothesis() (sage.schemes.elliptic_curves.heegner.HeegnerPointOnEllipticCurve method) (sage.schemes.elliptic_curves.heegner.HeegnerPoints_level_disc_cond method) (sage.schemes.elliptic_curves.heegner.KolyvaginPoint method) satisfies_weak_heegner_hypothesis() (in module sage.schemes.elliptic_curves.heegner) saturation() (sage.schemes.elliptic_curves.ell_number_field.EllipticCurve_number_field method) (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method) scalar_multiplication() (sage.schemes.elliptic_curves.ell_generic.EllipticCurve_generic method) scalar_multiply() (sage.schemes.hyperelliptic_curves.monsky_washnitzer.SpecialCubicQuotientRingElement method) scale_curve() (sage.schemes.elliptic_curves.ell_generic.EllipticCurve_generic method) scaling_factor() (sage.schemes.elliptic_curves.ell_curve_isogeny.EllipticCurveIsogeny method) (sage.schemes.elliptic_curves.hom.EllipticCurveHom method) (sage.schemes.elliptic_curves.hom_composite.EllipticCurveHom_composite method) (sage.schemes.elliptic_curves.hom_frobenius.EllipticCurveHom_frobenius method) (sage.schemes.elliptic_curves.hom_scalar.EllipticCurveHom_scalar method) (sage.schemes.elliptic_curves.hom_sum.EllipticCurveHom_sum method) (sage.schemes.elliptic_curves.hom_velusqrt.EllipticCurveHom_velusqrt method) (sage.schemes.elliptic_curves.weierstrass_morphism.WeierstrassIsomorphism method) scheme() (sage.schemes.hyperelliptic_curves.jacobian_morphism.JacobianMorphism_divisor_class_field method) selmer_rank() (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method) separable_degree() (sage.schemes.elliptic_curves.hom.EllipticCurveHom method) series() (sage.schemes.elliptic_curves.padic_lseries.pAdicLseriesOrdinary method) (sage.schemes.elliptic_curves.padic_lseries.pAdicLseriesSupersingular method) set_order() (sage.schemes.elliptic_curves.ell_finite_field.EllipticCurve_finite_field method) (sage.schemes.elliptic_curves.ell_point.EllipticCurvePoint_field method) sextic_twist() (sage.schemes.elliptic_curves.ell_field.EllipticCurve_field method) Sha (class in sage.schemes.elliptic_curves.sha_tate) sha() (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method) shift() (sage.schemes.hyperelliptic_curves.monsky_washnitzer.SpecialCubicQuotientRingElement method) short_weierstrass_model() (sage.schemes.elliptic_curves.ell_generic.EllipticCurve_generic method) sigma() (sage.schemes.elliptic_curves.formal_group.EllipticCurveFormalGroup method) (sage.schemes.elliptic_curves.period_lattice.PeriodLattice_ell method) sign() (sage.schemes.elliptic_curves.ell_modular_symbols.ModularSymbol method) silverman_height_bound() (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method) simon_two_descent() (in module sage.schemes.elliptic_curves.gp_simon) (sage.schemes.elliptic_curves.ell_number_field.EllipticCurve_number_field method) (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method) simplest_rational_poly() (in module sage.schemes.elliptic_curves.heegner) Sn() (sage.schemes.elliptic_curves.height.EllipticCurveCanonicalHeight method) solve_linear_differential_system() (in module sage.schemes.elliptic_curves.ell_wp) special_supersingular_curve() (in module sage.schemes.elliptic_curves.ell_finite_field) SpecialCubicQuotientRing (class in sage.schemes.hyperelliptic_curves.monsky_washnitzer) SpecialCubicQuotientRingElement (class in sage.schemes.hyperelliptic_curves.monsky_washnitzer) SpecialHyperellipticQuotientElement (class in sage.schemes.hyperelliptic_curves.monsky_washnitzer) SpecialHyperellipticQuotientRing (class in sage.schemes.hyperelliptic_curves.monsky_washnitzer) SpecialHyperellipticQuotientRing_class (in module sage.schemes.hyperelliptic_curves.monsky_washnitzer) square() (sage.schemes.hyperelliptic_curves.monsky_washnitzer.SpecialCubicQuotientRingElement method) Step4Test() (in module sage.schemes.elliptic_curves.Qcurves) summands() (sage.schemes.elliptic_curves.hom_sum.EllipticCurveHom_sum method) supersingular_j_polynomial() (in module sage.schemes.elliptic_curves.ell_finite_field) supersingular_primes() (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method) sympow() (sage.schemes.elliptic_curves.lseries_ell.Lseries_ell method) sympow_derivs() (sage.schemes.elliptic_curves.lseries_ell.Lseries_ell method)