1 | initial version |

http://www.sagemath.org/doc/reference/plane_curves/sage/schemes/elliptic_curves/ell_finite_field.html Here there are some examples that may help e.g.: sage: k = GF(next_prime(7^5)) sage: E = EllipticCurve(k,[2,4]) sage: P = E.random_element(); P (16740 : 12486 : 1)

2 | No.2 Revision |

~~http://www.sagemath.org/doc/reference/plane_curves/sage/schemes/elliptic_curves/ell_finite_field.html
~~See the SageMath reference manual for elliptic curves over finite fields.

Here there are some examples that may ~~help e.g.:
~~help:

```
sage: k = GF(next_prime(7^5))
sage: E = EllipticCurve(k,[2,4])
sage: P = E.random_element(); P
(16740 : 12486 :
```~~1)~~1)

3 | No.3 Revision |

See the ~~SageMath reference manual for elliptic curves over finite fields.~~

Here there are some examples that may help:

```
sage: k = GF(next_prime(7^5))
sage: E = EllipticCurve(k,[2,4])
sage: P = E.random_element(); P
(16740 : 12486 : 1)
```

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.