Elliptic curves ========================= .. toctree:: :maxdepth: 2 sage/schemes/elliptic_curves/constructor sage/schemes/elliptic_curves/jacobian sage/schemes/elliptic_curves/ell_point sage/schemes/elliptic_curves/ell_generic sage/schemes/elliptic_curves/ell_field sage/schemes/elliptic_curves/ell_finite_field sage/schemes/elliptic_curves/formal_group Maps between them .. toctree:: :maxdepth: 2 sage/schemes/elliptic_curves/weierstrass_morphism sage/schemes/elliptic_curves/ell_curve_isogeny sage/schemes/elliptic_curves/isogeny_small_degree Elliptic curves over number fields ---------------------------------- .. toctree:: :maxdepth: 2 sage/schemes/elliptic_curves/ell_rational_field sage/schemes/elliptic_curves/ec_database sage/schemes/elliptic_curves/ell_number_field sage/schemes/elliptic_curves/height sage/schemes/elliptic_curves/saturation sage/schemes/elliptic_curves/ell_torsion sage/schemes/elliptic_curves/gal_reps sage/schemes/elliptic_curves/gal_reps_number_field sage/schemes/elliptic_curves/isogeny_class sage/schemes/elliptic_curves/sha_tate sage/schemes/elliptic_curves/cm sage/schemes/elliptic_curves/Qcurves The following relate to elliptic curves over local nonarchimedean fields. .. toctree:: :maxdepth: 2 sage/schemes/elliptic_curves/ell_local_data sage/schemes/elliptic_curves/kodaira_symbol sage/schemes/elliptic_curves/ell_tate_curve Analytic properties over `\CC`. .. toctree:: :maxdepth: 2 sage/schemes/elliptic_curves/ell_wp sage/schemes/elliptic_curves/period_lattice sage/schemes/elliptic_curves/period_lattice_region Modularity and `L`-series over `\QQ`. .. toctree:: :maxdepth: 2 sage/schemes/elliptic_curves/modular_parametrization sage/schemes/elliptic_curves/ell_modular_symbols sage/schemes/elliptic_curves/mod_sym_num sage/schemes/elliptic_curves/lseries_ell sage/schemes/elliptic_curves/heegner sage/schemes/elliptic_curves/padic_lseries To be sorted ------------ .. toctree:: :maxdepth: 2 sage/schemes/elliptic_curves/descent_two_isogeny sage/schemes/elliptic_curves/ell_egros sage/schemes/elliptic_curves/ell_padic_field sage/schemes/elliptic_curves/gp_simon sage/schemes/elliptic_curves/mod5family sage/schemes/elliptic_curves/weierstrass_transform .. Not included because prove_BSD is bound in ell_rational_field, leading to duplicate citations .. sage/schemes/elliptic_curves/BSD Hyperelliptic curves ==================== .. toctree:: :maxdepth: 2 sage/schemes/hyperelliptic_curves/constructor sage/schemes/hyperelliptic_curves/hyperelliptic_generic sage/schemes/hyperelliptic_curves/hyperelliptic_finite_field sage/schemes/hyperelliptic_curves/hyperelliptic_padic_field sage/schemes/hyperelliptic_curves/hyperelliptic_rational_field sage/schemes/hyperelliptic_curves/mestre sage/schemes/hyperelliptic_curves/monsky_washnitzer sage/schemes/hyperelliptic_curves/hypellfrob sage/schemes/hyperelliptic_curves/jacobian_generic sage/schemes/hyperelliptic_curves/jacobian_g2 sage/schemes/hyperelliptic_curves/jacobian_homset sage/schemes/hyperelliptic_curves/jacobian_morphism sage/schemes/hyperelliptic_curves/hyperelliptic_g2 sage/schemes/hyperelliptic_curves/invariants sage/schemes/hyperelliptic_curves/kummer_surface sage/interfaces/genus2reduction .. include:: ../footer.txt