On non-congruent numbers with 1 modulo 4 prime factors
Number Theory
2012-08-13 v1
Abstract
In this paper, we use the 2-decent method to find a series of odd non-congruent numbers whose prime factors are such that the congruent elliptic curves have second lowest Selmer groups, which includes Li and Tian's result (Li and Tian, 2000) as special cases.
Keywords
Cite
@article{arxiv.1208.2149,
title = {On non-congruent numbers with 1 modulo 4 prime factors},
author = {Yi Ouyang and Shenxing Zhang},
journal= {arXiv preprint arXiv:1208.2149},
year = {2012}
}