Congruent number elliptic curves with rank at least two

Lorenz Halbeisen; Norbert Hungerbühler

Congruent number elliptic curves with rank at least two

Number Theory 2018-10-16 v2

Authors: Lorenz Halbeisen , Norbert Hungerbühler

Abstract

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

Keywords

congruent number elliptic curves rank integral solutions

Cite

@article{arxiv.1809.02037,
  title  = {Congruent number elliptic curves with rank at least two},
  author = {Lorenz Halbeisen and Norbert Hungerbühler},
  journal= {arXiv preprint arXiv:1809.02037},
  year   = {2018}
}

Comments

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

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