Finding rational points on elliptic curves using 6-descent and 12-descent
Number Theory
2007-11-26 v1
Abstract
We explain how recent work on 3-descent and 4-descent for elliptic curves over Q can be combined to search for generators of the Mordell-Weil group of large height. As an application we show that every elliptic curve of prime conductor in the Stein-Watkins database has rank at least as large as predicted by the conjecture of Birch and Swinnerton-Dyer.
Cite
@article{arxiv.0711.3774,
title = {Finding rational points on elliptic curves using 6-descent and 12-descent},
author = {Tom Fisher},
journal= {arXiv preprint arXiv:0711.3774},
year = {2007}
}
Comments
33 pages