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arxiv: math/0404538 · v1 · submitted 2004-04-29 · 🧮 math.NT

On the Correspondence between Supersingular Elliptic Curves and maximal quaternionic Orders

classification 🧮 math.NT
keywords curvesellipticsupersingularcomputeendomorphismringsalgorithmcharacteristic
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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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