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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
