all.py

"""
Exported elliptic curves functionality
"""

#*****************************************************************************
#       Copyright (C) 2005 William Stein <[email protected]>
#
#  Distributed under the terms of the GNU General Public License (GPL)
#
#    This code is distributed in the hope that it will be useful,
#    but WITHOUT ANY WARRANTY; without even the implied warranty of
#    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
#    General Public License for more details.
#
#  The full text of the GPL is available at:
#
#                  http://www.gnu.org/licenses/
#*****************************************************************************

from constructor import (EllipticCurve,
                         EllipticCurve_from_c4c6,
                         EllipticCurve_from_j,
                         EllipticCurve_from_cubic,
                         EllipticCurve_from_plane_curve,
                         EllipticCurves_with_good_reduction_outside_S)

from sage.misc.lazy_import import lazy_import
lazy_import('sage.schemes.elliptic_curves.jacobian', 'Jacobian')

from ell_generic import is_EllipticCurve

from ell_rational_field import cremona_curves, cremona_optimal_curves

from cm import ( cm_orders,
                 cm_j_invariants,
                 cm_j_invariants_and_orders,
                 hilbert_class_polynomial )

import monsky_washnitzer

from ec_database import elliptic_curves

from kodaira_symbol import KodairaSymbol

from ell_curve_isogeny import EllipticCurveIsogeny, isogeny_codomain_from_kernel

from heegner import heegner_points, heegner_point