Explicit n-descent on elliptic curves, I. Algebra

By John Cremona, Tom A. Fisher, Cathy O'Neil, Denis Simon, Michael Stoll. 2006

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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.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/44abfc541289a173560850c85bd6a28fa70346e6