The invariants of a genus one curve

Details The invariants of a genus one curve The invariants of a genus one curve

2006-10-10

arxiv.org/abs/math/0610318v1

Mathematics

Number Theory

37 pages

Scientific paper

It was first pointed out by Weil that we can use classical invariant theory to compute the Jacobian of a genus one curve. The invariants required for curves of degree n = 2,3,4 were already known to the nineteenth centuary invariant theorists. We have succeeded in extending these methods to curves of degree n = 5, where although the invariants are too large to write down as explicit polynomials, we have found a practical algorithm for evaluating them.

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