Plane curves
=========================
.. toctree::
:maxdepth: 2
sage/schemes/curves/constructor
sage/schemes/curves/affine_curve
sage/schemes/curves/projective_curve
sage/schemes/curves/curve
sage/schemes/curves/point
sage/schemes/jacobians/abstract_jacobian
Plane conics
============
.. toctree::
:maxdepth: 2
sage/schemes/plane_conics/constructor
sage/schemes/plane_conics/con_field
sage/schemes/plane_conics/con_number_field
sage/schemes/plane_conics/con_rational_field
sage/schemes/plane_conics/con_finite_field
sage/schemes/plane_conics/con_prime_finite_field
sage/schemes/plane_conics/con_rational_function_field
Plane quartics
=========================
.. toctree::
:maxdepth: 2
sage/schemes/plane_quartics/quartic_constructor
sage/schemes/plane_quartics/quartic_generic
Riemann surfaces
================
.. toctree::
:maxdepth: 2
sage/schemes/riemann_surfaces/riemann_surface
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
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/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_generic
sage/schemes/hyperelliptic_curves/hyperelliptic_g2_finite_field
sage/schemes/hyperelliptic_curves/hyperelliptic_g2_padic_field
sage/schemes/hyperelliptic_curves/hyperelliptic_g2_rational_field
sage/schemes/hyperelliptic_curves/invariants
sage/schemes/hyperelliptic_curves/kummer_surface
sage/interfaces/genus2reduction
.. include:: ../footer.txt