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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)

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)

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)