English

Efficient computation of p-adic heights

Number Theory 2007-08-28 v1

Abstract

We analyse and drastically improve the running time of the algorithm of Mazur, Stein and Tate for computing the canonical cyclotomic p-adic height of a point on an elliptic curve E/Q, where E has good ordinary reduction at p >= 5.

Keywords

Cite

@article{arxiv.0708.3404,
  title  = {Efficient computation of p-adic heights},
  author = {David Harvey},
  journal= {arXiv preprint arXiv:0708.3404},
  year   = {2007}
}

Comments

18 pages

R2 v1 2026-06-21T09:10:29.697Z