English

On the Correspondence between Supersingular Elliptic Curves and maximal quaternionic Orders

Number Theory 2007-05-23 v1

Abstract

We present a deterministic and explicit algorithm to compute the endomorphism rings of supersingular elliptic curves. As an example we compute the endomorphism rings of all supersingular elliptic curves defined over characteristic p=29,...,97.

Keywords

Cite

@article{arxiv.math/0404538,
  title  = {On the Correspondence between Supersingular Elliptic Curves and maximal quaternionic Orders},
  author = {Juan Marcos Cerviño},
  journal= {arXiv preprint arXiv:math/0404538},
  year   = {2007}
}

Comments

10 pages, 1 table

R2 v1 2026-07-22T17:04:54.205Z