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# how to generate Cayleygraph

Hello,

how can I generate a cayleygraph for

y^2 = x^3+ax ;

a, could be 1 or 2 or 3 ;

p = 17

The producer points should be identifiable in this graph.

Thanks

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## 1 Answer

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sage: E = EllipticCurve(GF(17), [1, 0]) # [1,0] -> coefficient of x, constant term
sage: E
Elliptic Curve defined by y^2 = x^3 + x over Finite Field of size 17
sage: A = E.abelian_group()
sage: G = A.permutation_group()
sage: G.cayley_graph()
Digraph on 16 vertices

more

## Comments

Thanks!! Can it be modified to see the points and subgroups? For example "Elliptic Curve defined by y^2 = x^3 + 6*x over Finite Field of size 7" Group "(4,2)" --> (1,0) --> (4,5) --> {} -->

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Asked: 2019-06-17 13:08:42 +0200

Seen: 94 times

Last updated: Jun 18 '19