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Explicit n-descent on elliptic curves, I. Algebra

数论 2016-08-03 v1

摘要

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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引用

@article{arxiv.math/0606580,
  title  = {Explicit n-descent on elliptic curves, I. Algebra},
  author = {John Cremona and Tom Fisher and Cathy O'Neil and Denis Simon and Michael Stoll},
  journal= {arXiv preprint arXiv:math/0606580},
  year   = {2016}
}

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37 pages