English

Infinitely many elliptic curves of rank exactly two, II

Number Theory 2018-09-28 v2

Abstract

In this paper, we construct an infinite family of elliptic curves whose rank is exactly two and the torsion subgroup is a cyclic group of order two or three, under the parity conjecture.

Keywords

Cite

@article{arxiv.1805.00639,
  title  = {Infinitely many elliptic curves of rank exactly two, II},
  author = {Keunyoung Jeong},
  journal= {arXiv preprint arXiv:1805.00639},
  year   = {2018}
}

Comments

8 pages