paper

On the Correspondence between Supersingular Elliptic Curves and maximal quaternionic Orders

arXiv:math/0404538

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.

10 pages, 1 table

On the Correspondence between Supersingular Elliptic Curves and maximal quaternionic Orders · wovepaper