On the Correspondence between Supersingular Elliptic Curves and maximal quaternionic Orders

Mathematics – Number Theory

Scientific paper

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10 pages, 1 table

Scientific paper

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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