Document Type
Article
Date
5-11-2004
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 - All Scholarship. 103.
https://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