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
Switzerland

Abstract:

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.

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(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.

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