I'm trying to find the solutions to the polynomial y2=x3+1 over F5. I have constructed the correct polynomial ring, but I don't know what the analogous function to .roots() is for the two variable case. Thanks
Alternatively
sage: R.<x,y> = GF(5)[]
sage: C = Curve(y^2 - x^3 - 1)
sage: C.point_set().points()
[(0, 1), (0, 4), (2, 2), (2, 3), (4, 0)]
sage: E=EllipticCurve(GF(5),[0,1]);E
Elliptic Curve defined by y^2 = x^3 + 1 over Finite Field of size 5
sage: pp=E.points()
sage: [p.xy() for p in pp[1:]]
[(0, 1), (0, 4), (2, 2), (2, 3), (4, 0)]Asked: 12 years ago
Seen: 629 times
Last updated: Feb 16 '13
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