Height of rational points on congruent number elliptic curves
Number Theory
2018-02-21 v1
Abstract
We prove that a positive proportion of squarefree integers are congruent numbers such that the canonical height of the lowest non-torsion rational point on the corresponding elliptic curve satisfies a strong lower bound.
Cite
@article{arxiv.1802.07136,
title = {Height of rational points on congruent number elliptic curves},
author = {Pierre Le Boudec},
journal= {arXiv preprint arXiv:1802.07136},
year = {2018}
}