.. toctree:: :maxdepth: 1 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: 1 sage/schemes/elliptic_curves/hom sage/schemes/elliptic_curves/hom_composite sage/schemes/elliptic_curves/hom_sum sage/schemes/elliptic_curves/weierstrass_morphism sage/schemes/elliptic_curves/ell_curve_isogeny sage/schemes/elliptic_curves/hom_velusqrt sage/schemes/elliptic_curves/hom_scalar sage/schemes/elliptic_curves/hom_frobenius sage/schemes/elliptic_curves/isogeny_small_degree sage/schemes/elliptic_curves/mod_poly
.. toctree:: :maxdepth: 1 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: 1 sage/schemes/elliptic_curves/ell_local_data sage/schemes/elliptic_curves/kodaira_symbol sage/schemes/elliptic_curves/ell_tate_curve sage/schemes/elliptic_curves/ell_padic_field
Analytic properties over CC.
.. toctree:: :maxdepth: 1 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: 1 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
.. toctree:: :maxdepth: 1 sage/schemes/elliptic_curves/BSD sage/schemes/elliptic_curves/cardinality sage/schemes/elliptic_curves/descent_two_isogeny sage/schemes/elliptic_curves/ell_egros sage/schemes/elliptic_curves/gp_simon sage/schemes/elliptic_curves/kraus sage/schemes/elliptic_curves/mod5family sage/schemes/elliptic_curves/weierstrass_transform
.. toctree:: :maxdepth: 1 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/jacobian_endomorphism_utils sage/schemes/hyperelliptic_curves/hyperelliptic_g2 sage/schemes/hyperelliptic_curves/invariants sage/schemes/hyperelliptic_curves/kummer_surface sage/interfaces/genus2reduction