Rank bias for elliptic curves mod $p$
Number Theory
2023-01-25 v1
Abstract
We conjecture that, for a fixed prime , rational elliptic curves with higher rank tend to have more points mod . We show that there is an analogous bias for modular forms with respect to root numbers, and conjecture that the order of the rank bias for elliptic curves is greater than that of the root number bias for modular forms.
Cite
@article{arxiv.2103.02115,
title = {Rank bias for elliptic curves mod $p$},
author = {Kimball Martin and Thomas Pharis},
journal= {arXiv preprint arXiv:2103.02115},
year = {2023}
}
Comments
15 pages, 11 figures