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