Congruent number elliptic curves with rank at least two

Abstract

We give an infinite family of congruent number elliptic curves, each with rank at least two, which are related to integral solutions of $m^2=n^2+nl+l^2$.

9 pages, 1 figure. A curve of rank 5 is added in this version (first entry on the list on page 8). arXiv admin note: text overlap with arXiv:1803.09604