English

A note on rank zero quadratic twists of a Mordell curve

Number Theory 2025-11-05 v3

Abstract

We produce two families of rank zero quadratic twists of the Mordell curve y2=x3+2y^2=x^3+2. At the end, we give numerical examples supporting the result.

Keywords

Cite

@article{arxiv.1904.02073,
  title  = {A note on rank zero quadratic twists of a Mordell curve},
  author = {Ankurjyoti Chutia and Azizul Hoque and Jyotishman Kalita},
  journal= {arXiv preprint arXiv:1904.02073},
  year   = {2025}
}

Comments

11 pages. Incorporated referees' comments. To appear in `Czechoslovak Mathematical Journal'