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Macaulay2 website
EllipticCurves
::
EllipticCurve
EllipticCurve  The class of elliptic curves in short Weierstrass form.
Functions and methods returning an object of class EllipticCurve :
toShortWForm
 A method to trasform an elliptic curve from Weierstrass form to short Weierstrass form.
Methods that use an object of class EllipticCurve :
bruteForceGroupOrder(EllipticCurve)
 A bruteforce method to count the points on an elliptic curve in characteristic different from 2.
bruteForceRationalPoints(EllipticCurve)
 A bruteforce method to list the points on an elliptic curve.
Discriminant(EllipticCurve)
 A method to compute the discriminant of an elliptic curve.
EllipticCurve == EllipticCurve
ellPoint(List,EllipticCurve)
 A method for defining point on an elliptic curve.
isOnEllCurve(List,EllipticCurve)
 A method to check if a point is on an elliptic curve.
jInvariant(EllipticCurve)
 A method to compute the jinvariant of an elliptic curve.
"expression(EllipticCurve)"
 see
net(EllipticCurve)
net(EllipticCurve)
For the programmer
The object
EllipticCurve
is
a
type
, with ancestor classes
HashTable
<
Thing
.