bruteForceGroupOrder(EllipticCurveW) -- A brute-force method to count the points on an elliptic curve in characteristic different from 2.

Synopsis

• Function: bruteForceGroupOrder

• Usage:

  bruteForceGroupOrder(E)

• Inputs:
  • E, an instance of the type EllipticCurveW

Description

i1 : E=ellCurve({1,2,3,4,6},GF(29))

o1 = Elliptic Curve defined by Y^2 + 1 XY + 3 Y = X^3 + 2 X^2 + 4 X + 6( over(GF 29 .))

o1 : EllipticCurveW

i2 : bruteForceGroupOrder(E)

o2 = 30