On the Correspondence between Supersingular Elliptic Curves and maximal quaternionic Orders

2004/04/29 by Juan Marcos Cerviño, Cerviño, Juan Marcos
Mathematics · #11E20 #11E88 (Secondary) #11G20 (Primary) #FOS: Mathematics #Number Theory (math.NT) #math.NT #msc:11E20 #msc:11E88 #msc:11G20

paper · pdf · doi:10.48550/arxiv.math/0404538

10 pages, 1 table

arxiv created 2004/04/29 · arxiv updated 2009/12/01

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.

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