Journal of Integer Sequences, Vol. 22 (2019), Article 19.3.1

Congruent Number Elliptic Curves Related to Integral Solutions of m2 = n2 + nl + l2

Lorenz Halbeisen and Norbert Hungerbühler
Department of Mathematics
ETH Zentrum
8092 Zürich


We construct an infinite family of congruent number elliptic curves, each with rank at least two, which are related to integral solutions of m2 = n2 + nl + l2.

Full version:  pdf,    dvi,    ps,    latex    

(Concerned with sequence A003273.)

Received October 29 2018; revised versions received January 25 2019; February 19 2019; May 15 2019; May 16 2019. Published in Journal of Integer Sequences, May 16 2019.

Return to Journal of Integer Sequences home page