Elliptic curves in isogeny classes
Number Theory
2018-07-11 v1
Abstract
We show that the distribution of elliptic curves in isogeny classes of curves with a given value of the Frobenius trace becomes close to uniform even when is averaged over very short intervals inside the Hasse-Weil interval.
Cite
@article{arxiv.1611.05258,
title = {Elliptic curves in isogeny classes},
author = {Igor E. Shparlinski and Liangyi Zhao},
journal= {arXiv preprint arXiv:1611.05258},
year = {2018}
}