Index – R ramified_primes() (sage.schemes.elliptic_curves.heegner.RingClassField method) random_element() (sage.schemes.elliptic_curves.ell_finite_field.EllipticCurve_finite_field method) random_point() (sage.schemes.elliptic_curves.ell_finite_field.EllipticCurve_finite_field method) rank() (sage.schemes.elliptic_curves.ec_database.EllipticCurves method) (sage.schemes.elliptic_curves.ell_number_field.EllipticCurve_number_field method) (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method) rank_bound() (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method) rank_bounds() (sage.schemes.elliptic_curves.ell_number_field.EllipticCurve_number_field method) rat_term_CIF() (in module sage.schemes.elliptic_curves.height) rational_kolyvagin_divisor() (sage.schemes.elliptic_curves.heegner.HeegnerQuatAlg method) rational_maps() (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_velusqrt.EllipticCurveHom_velusqrt method) (sage.schemes.elliptic_curves.weierstrass_morphism.WeierstrassIsomorphism method) rational_points() (sage.schemes.elliptic_curves.ell_finite_field.EllipticCurve_finite_field method) (sage.schemes.elliptic_curves.ell_number_field.EllipticCurve_number_field method) (sage.schemes.hyperelliptic_curves.hyperelliptic_generic.HyperellipticCurve_generic method) real_components() (sage.schemes.elliptic_curves.ell_number_field.EllipticCurve_number_field method) (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method) real_intersection_is_empty() (sage.schemes.elliptic_curves.height.EllipticCurveCanonicalHeight method) real_period() (sage.schemes.elliptic_curves.period_lattice.PeriodLattice_ell method) reduce() (sage.schemes.elliptic_curves.period_lattice.PeriodLattice_ell method) (sage.schemes.hyperelliptic_curves.monsky_washnitzer.MonskyWashnitzerDifferential method) reduce_all() (in module sage.schemes.hyperelliptic_curves.monsky_washnitzer) reduce_fast() (sage.schemes.hyperelliptic_curves.monsky_washnitzer.MonskyWashnitzerDifferential method) reduce_mod() (sage.schemes.elliptic_curves.heegner.HeegnerPoints_level method) reduce_mod_q() (in module sage.schemes.elliptic_curves.saturation) reduce_neg_y() (sage.schemes.hyperelliptic_curves.monsky_washnitzer.MonskyWashnitzerDifferential method) reduce_neg_y_fast() (sage.schemes.hyperelliptic_curves.monsky_washnitzer.MonskyWashnitzerDifferential method) reduce_neg_y_faster() (sage.schemes.hyperelliptic_curves.monsky_washnitzer.MonskyWashnitzerDifferential method) reduce_negative() (in module sage.schemes.hyperelliptic_curves.monsky_washnitzer) reduce_pos_y() (sage.schemes.hyperelliptic_curves.monsky_washnitzer.MonskyWashnitzerDifferential method) reduce_pos_y_fast() (sage.schemes.hyperelliptic_curves.monsky_washnitzer.MonskyWashnitzerDifferential method) reduce_positive() (in module sage.schemes.hyperelliptic_curves.monsky_washnitzer) reduce_tau() (in module sage.schemes.elliptic_curves.period_lattice) reduce_zero() (in module sage.schemes.hyperelliptic_curves.monsky_washnitzer) reduced_quadratic_form() (sage.schemes.elliptic_curves.heegner.HeegnerPointOnX0N method) reducible_primes() (sage.schemes.elliptic_curves.ell_number_field.EllipticCurve_number_field method) (sage.schemes.elliptic_curves.gal_reps.GaloisRepresentation method) (sage.schemes.elliptic_curves.gal_reps_number_field.GaloisRepresentation method) reducible_primes_Billerey() (in module sage.schemes.elliptic_curves.gal_reps_number_field) reducible_primes_naive() (in module sage.schemes.elliptic_curves.gal_reps_number_field) reduction() (sage.schemes.elliptic_curves.ell_number_field.EllipticCurve_number_field method) (sage.schemes.elliptic_curves.ell_point.EllipticCurvePoint_number_field method) (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method) ReductionData (class in sage.interfaces.genus2reduction) refine() (sage.schemes.elliptic_curves.period_lattice_region.PeriodicRegion method) regulator() (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method) regulator_of_points() (sage.schemes.elliptic_curves.ell_number_field.EllipticCurve_number_field method) reorder() (sage.schemes.elliptic_curves.isogeny_class.IsogenyClass_EC method) residue_disc() (sage.schemes.hyperelliptic_curves.hyperelliptic_padic_field.HyperellipticCurve_padic_field method) right_ideals() (sage.schemes.elliptic_curves.heegner.HeegnerQuatAlg method) ring_class_field() (sage.schemes.elliptic_curves.heegner.HeegnerPoint method) (sage.schemes.elliptic_curves.heegner.HeegnerPoints_level_disc_cond method) RingClassField (class in sage.schemes.elliptic_curves.heegner) root_number() (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method) rst_transform() (sage.schemes.elliptic_curves.ell_generic.EllipticCurve_generic method)
Index – R ramified_primes() (sage.schemes.elliptic_curves.heegner.RingClassField method) random_element() (sage.schemes.elliptic_curves.ell_finite_field.EllipticCurve_finite_field method) random_point() (sage.schemes.elliptic_curves.ell_finite_field.EllipticCurve_finite_field method) rank() (sage.schemes.elliptic_curves.ec_database.EllipticCurves method) (sage.schemes.elliptic_curves.ell_number_field.EllipticCurve_number_field method) (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method) rank_bound() (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method) rank_bounds() (sage.schemes.elliptic_curves.ell_number_field.EllipticCurve_number_field method) rat_term_CIF() (in module sage.schemes.elliptic_curves.height) rational_kolyvagin_divisor() (sage.schemes.elliptic_curves.heegner.HeegnerQuatAlg method) rational_maps() (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_velusqrt.EllipticCurveHom_velusqrt method) (sage.schemes.elliptic_curves.weierstrass_morphism.WeierstrassIsomorphism method) rational_points() (sage.schemes.elliptic_curves.ell_finite_field.EllipticCurve_finite_field method) (sage.schemes.elliptic_curves.ell_number_field.EllipticCurve_number_field method) (sage.schemes.hyperelliptic_curves.hyperelliptic_generic.HyperellipticCurve_generic method) real_components() (sage.schemes.elliptic_curves.ell_number_field.EllipticCurve_number_field method) (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method) real_intersection_is_empty() (sage.schemes.elliptic_curves.height.EllipticCurveCanonicalHeight method) real_period() (sage.schemes.elliptic_curves.period_lattice.PeriodLattice_ell method) reduce() (sage.schemes.elliptic_curves.period_lattice.PeriodLattice_ell method) (sage.schemes.hyperelliptic_curves.monsky_washnitzer.MonskyWashnitzerDifferential method) reduce_all() (in module sage.schemes.hyperelliptic_curves.monsky_washnitzer) reduce_fast() (sage.schemes.hyperelliptic_curves.monsky_washnitzer.MonskyWashnitzerDifferential method) reduce_mod() (sage.schemes.elliptic_curves.heegner.HeegnerPoints_level method) reduce_mod_q() (in module sage.schemes.elliptic_curves.saturation) reduce_neg_y() (sage.schemes.hyperelliptic_curves.monsky_washnitzer.MonskyWashnitzerDifferential method) reduce_neg_y_fast() (sage.schemes.hyperelliptic_curves.monsky_washnitzer.MonskyWashnitzerDifferential method) reduce_neg_y_faster() (sage.schemes.hyperelliptic_curves.monsky_washnitzer.MonskyWashnitzerDifferential method) reduce_negative() (in module sage.schemes.hyperelliptic_curves.monsky_washnitzer) reduce_pos_y() (sage.schemes.hyperelliptic_curves.monsky_washnitzer.MonskyWashnitzerDifferential method) reduce_pos_y_fast() (sage.schemes.hyperelliptic_curves.monsky_washnitzer.MonskyWashnitzerDifferential method) reduce_positive() (in module sage.schemes.hyperelliptic_curves.monsky_washnitzer) reduce_tau() (in module sage.schemes.elliptic_curves.period_lattice) reduce_zero() (in module sage.schemes.hyperelliptic_curves.monsky_washnitzer) reduced_quadratic_form() (sage.schemes.elliptic_curves.heegner.HeegnerPointOnX0N method) reducible_primes() (sage.schemes.elliptic_curves.ell_number_field.EllipticCurve_number_field method) (sage.schemes.elliptic_curves.gal_reps.GaloisRepresentation method) (sage.schemes.elliptic_curves.gal_reps_number_field.GaloisRepresentation method) reducible_primes_Billerey() (in module sage.schemes.elliptic_curves.gal_reps_number_field) reducible_primes_naive() (in module sage.schemes.elliptic_curves.gal_reps_number_field) reduction() (sage.schemes.elliptic_curves.ell_number_field.EllipticCurve_number_field method) (sage.schemes.elliptic_curves.ell_point.EllipticCurvePoint_number_field method) (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method) ReductionData (class in sage.interfaces.genus2reduction) refine() (sage.schemes.elliptic_curves.period_lattice_region.PeriodicRegion method) regulator() (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method) regulator_of_points() (sage.schemes.elliptic_curves.ell_number_field.EllipticCurve_number_field method) reorder() (sage.schemes.elliptic_curves.isogeny_class.IsogenyClass_EC method) residue_disc() (sage.schemes.hyperelliptic_curves.hyperelliptic_padic_field.HyperellipticCurve_padic_field method) right_ideals() (sage.schemes.elliptic_curves.heegner.HeegnerQuatAlg method) ring_class_field() (sage.schemes.elliptic_curves.heegner.HeegnerPoint method) (sage.schemes.elliptic_curves.heegner.HeegnerPoints_level_disc_cond method) RingClassField (class in sage.schemes.elliptic_curves.heegner) root_number() (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method) rst_transform() (sage.schemes.elliptic_curves.ell_generic.EllipticCurve_generic method)