On Tuesday 27 January 2009, Santanu Sarkar wrote:
> Consider the Elliptic curve y^2  = x^3 + x +1 over the finite field
> Z_101. How we can add
> any two points on it?

I suppose your question is how to add those points in Sage:

sage: E = EllipticCurve(GF(101),[1,1]); E
Elliptic Curve defined by y^2  = x^3 + x +1 over Finite Field of size 101

sage: P1 = E.random_element()
sage: P2 = E.random_element()

sage: P1
(61 : 46 : 1)

sage: P2
(99 : 30 : 1)

sage: P1 + P2
(64 : 35 : 1)

Martin

-- 
name: Martin Albrecht
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