Proc. Japan Acad. Ser. A Math. Sci. 86 (5), 89-90, (May 2010) DOI: 10.3792/pjaa.86.89
Jennifer Ann Johnstone, Blair Kenneth Spearman
KEYWORDS: congruent numbers, Elliptic curve, rank, 11G05
For an integer $m>1$, it is shown that each congruence class modulo $m$ contains infinitely many congruent numbers whose associated elliptic curves have rank at least two.