English

The truth about torsion in the CM case

Number Theory 2015-05-19 v3

Abstract

We show that the upper order of the size of the torsion subgroup of a CM elliptic curve over a degree d number field is d log log d.

Keywords

Cite

@article{arxiv.1501.06975,
  title  = {The truth about torsion in the CM case},
  author = {Pete L. Clark and Paul Pollack},
  journal= {arXiv preprint arXiv:1501.06975},
  year   = {2015}
}

Comments

6 pages. This is a minor revision incorporating expository suggestions made by the referee