Explicit n-descent on elliptic curves, I. Algebra

Details Explicit n-descent on elliptic curves, I. Algebra Explicit n-descent on elliptic curves, I. Algebra

2006-06-23

arxiv.org/abs/math/0606580v1

Mathematics

Number Theory

37 pages

Scientific paper

This is the first in a series of papers in which we study the n-Selmer group
of an elliptic curve, with the aim of representing its elements as genus one
normal curves of degree n. The methods we describe are practical in the case
n=3 for elliptic curves over the rationals, and have been implemented in Magma.

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