Plane curves
=========================

.. toctree::
   :maxdepth: 2

   sage/schemes/plane_curves/constructor
   sage/schemes/plane_curves/affine_curve
   sage/schemes/plane_curves/projective_curve

   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


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/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
   sage/schemes/elliptic_curves/padics

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


Hyperelliptic curves
====================

.. toctree::
   :maxdepth: 2

   sage/schemes/hyperelliptic_curves/constructor
   sage/schemes/hyperelliptic_curves/hyperelliptic_finite_field
   sage/schemes/hyperelliptic_curves/hyperelliptic_generic

   sage/schemes/hyperelliptic_curves/mestre

   sage/schemes/hyperelliptic_curves/monsky_washnitzer

   sage/schemes/hyperelliptic_curves/jacobian_g2
   sage/schemes/hyperelliptic_curves/jacobian_generic
   sage/schemes/hyperelliptic_curves/jacobian_homset
   sage/schemes/hyperelliptic_curves/jacobian_morphism

   sage/interfaces/genus2reduction

.. include:: ../footer.txt
