Finding rational points on elliptic curves using 6descent and 12descent
Abstract
We explain how recent work on 3descent and 4descent for elliptic curves over Q can be combined to search for generators of the MordellWeil group of large height. As an application we show that every elliptic curve of prime conductor in the SteinWatkins database has rank at least as large as predicted by the conjecture of Birch and SwinnertonDyer.
 Publication:

arXiv eprints
 Pub Date:
 November 2007
 arXiv:
 arXiv:0711.3774
 Bibcode:
 2007arXiv0711.3774F
 Keywords:

 Mathematics  Number Theory;
 11G05
 EPrint:
 33 pages