| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4587533 | Journal of Algebra | 2008 | 32 Pages |
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
