Document Type
Article
Date
5-11-2004
Embargo Period
11-18-2011
Disciplines
Mathematics
Description/Abstract
For r=6,7,...,11 we find an elliptic curve E/Q of rank at least r and the smallest conductor known, improving on the previous records by factors ranging from 1.0136 (for r=6) to over 100 (for r=10 and r=11). We describe our search methods, and tabulate, for each r=5,6,...,11, the five curves of lowest conductor, and (except for r=11) also the five of lowest absolute discriminant, that we found.
Recommended Citation
Elkies, Noam D. and Watkins, Mark, "Elliptic Curves of Large Rank and Small Conductor" (2004). Mathematics Faculty Scholarship. Paper 103.
http://surface.syr.edu/mat/103
Source
Harvested from arXiv.org
Creative Commons License
This work is licensed under a Creative Commons Attribution 3.0 License.
Additional Information
This manuscript is from arXiv.org, for more information see http://arxiv.org/abs/math/0403374