On the Correspondence between Supersingular Elliptic Curves and maximal quaternionic Orders

Juan Marcos Cerviño

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arXiv · math/0404538

On the Correspondence between Supersingular Elliptic Curves and maximal quaternionic Orders

Juan Marcos Cerviño

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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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Juan Marcos Cerviño. 2004-04-29. On the Correspondence between Supersingular Elliptic Curves and maximal quaternionic Orders. https://arxiv.org/abs/math/0404538

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