# 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

add a comment

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

add a comment

1

Does this give what you want?

```
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
```

I don't know. You can look at the documentation for the cayley_graph method: http://doc.sagemath.org/html/en/refer...

Asked: **
2019-06-17 06:08:42 -0500
**

Seen: **43 times**

Last updated: **Jun 17**

Copyright Sage, 2010. Some rights reserved under creative commons license. Content on this site is licensed under a Creative Commons Attribution Share Alike 3.0 license.