EllPoint + EllPoint

Operator: +
Usage:

P+Q
Inputs:
- P, an instance of the type EllPoint
- Q, an instance of the type EllPoint
Outputs:
- an instance of the type EllPoint

Description

Computes the sum of two points.

i1 : E=ellCurve(3,8,GF(13))

o1 = Elliptic Curve defined by Y^2 = X^3 + 3 X + (-5)( over(GF 13 .))

o1 : EllipticCurve

i2 : P=ellPoint({1,5,1},E)

o2 = Point ({1, 5, 1}( on the (Elliptic Curve defined by Y^2 = X^3 + 3 X + (-5)( over(GF 13 .)))))

o2 : EllPoint

i3 : Q=ellPoint({2,3,1},E)

o3 = Point ({2, 3, 1}( on the (Elliptic Curve defined by Y^2 = X^3 + 3 X + (-5)( over(GF 13 .)))))

o3 : EllPoint

i4 : P+Q

o4 = Point ({1, -5, 1}( on the (Elliptic Curve defined by Y^2 = X^3 + 3 X + (-5)( over(GF 13 .)))))

o4 : EllPoint

The source of this document is in /build/macaulay2-ih1poA/macaulay2-1.26.05+ds/M2/Macaulay2/packages/EllipticCurves.m2:675:0.