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A parametrised family of Mordell curves

Number Theory 2016-04-12 v1

Abstract

An elliptic curve defined by an equation of the type y2=x3+dy^2=x^3+d is called a Mordell curve. We obtain a parametrised family of Mordell curves whose rank, in general, is at least three, and whose torsion group is Z/3Z\mathbb{Z}/3\mathbb{Z}.

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Cite

@article{arxiv.1604.02693,
  title  = {A parametrised family of Mordell curves},
  author = {Ajai Choudhry and Arman Shamsi Zargar},
  journal= {arXiv preprint arXiv:1604.02693},
  year   = {2016}
}

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6 pages