Package sage :: Package ellcurve :: Module ellcurve
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Module sage.ellcurve.ellcurve

Elliptic curves
Classes
EllipticCurve Elliptic curve.
EllipticCurve_generic Elliptic curve over a generic base ring.
EllipticCurve_RationalField Elliptic curve over the Rational Field.
Point Point on an elliptic curve.

Function Summary
  allcurves(min_cond)
Iterate through all curves in the elliptic curves database with conductor >= min_cond.
  curves(conductors)
Return iterator over all known curves (in database) with conductor in the list of conductors.
  optimal_curves(conductors)
Return iterator over all known optimal curves (in database) with conductor in the list of conductors.

Variable Summary
ComplexField C = Complex Field
RealField_mpf R = Multi-precision Real Field
IntegerRing Z = Integer Ring

Function Details

allcurves(min_cond=11)

Iterate through all curves in the elliptic curves database with conductor >= min_cond.

curves(conductors)

Return iterator over all known curves (in database) with conductor in the list of conductors.

optimal_curves(conductors)

Return iterator over all known optimal curves (in database) with conductor in the list of conductors.

Variable Details

C

Type:
ComplexField
Value:
Complex Field                                                          

R

Type:
RealField_mpf
Value:
Multi-precision Real Field                                             

Z

Type:
IntegerRing
Value:
Integer Ring                                                           

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