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""" 

Exported elliptic curves functionality 

""" 

from __future__ import absolute_import 

 

#***************************************************************************** 

# Copyright (C) 2005 William Stein <wstein@gmail.com> 

# 

# 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_rational_field import cremona_curves, cremona_optimal_curves 

 

from .cm import ( cm_orders, 

cm_j_invariants, 

cm_j_invariants_and_orders, 

hilbert_class_polynomial ) 

 

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