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Licensed Unlicensed Requires Authentication Published by De Gruyter March 12, 2008

Explicit n-descent on elliptic curves, I. Algebra

J. E Cremona, T. A Fisher, C O'Neil, D Simon and M Stoll
From the journal

Abstract

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.

Received: 2006-03-03
Accepted: 2006-12-14
Published Online: 2008-03-12
Published in Print: 2008-02-01

© Walter de Gruyter

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