Explicit n-descent on elliptic curves, I. Algebra

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.

37 pages

References in corpus (1)

• Explicit n-descent on elliptic curves, II. Geometry

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• Geometry and arithmetic of primary Burniat surfaces