On the Correspondence between Supersingular Elliptic Curves and maximal quaternionic Orders
Juan Marcos Cerviño
Abstract
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Juan Marcos Cerviño
Abstract
Open-access reader
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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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.
Key concepts: Supersingular elliptic curve, Mathematics, Pure mathematics, Elliptic curve