English

A note on the Kenku's method

Number Theory 2018-12-31 v1

Abstract

In this note, we present a complete and corrected version of Kenku's method in the proof of the nonexistence of 27-torsion on elliptic curves over quadratic fields and show why this method can not be applied to the cases of 32- and 24-torsion on elliptic curves over cubic fields.

Cite

@article{arxiv.1812.11032,
  title  = {A note on the Kenku's method},
  author = {Jian Wang},
  journal= {arXiv preprint arXiv:1812.11032},
  year   = {2018}
}
R2 v1 2026-06-23T06:57:59.702Z