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pro vyhledávání: '"Scullard, Gabrielle"'
We give a deterministic polynomial time algorithm to compute the endomorphism ring of a supersingular elliptic curve in characteristic p, provided that we are given two noncommuting endomorphisms and the factorization of the discriminant of the ring
Externí odkaz:
http://arxiv.org/abs/2402.05059
Autor:
Cullinan, John, Dobson, Shanna, Frey, Linda, Hamakiotes, Asimina, Hernandez, Roberto, Kaplan, Nathan, Mello, Jorge, Scullard, Gabrielle
Let $E$ and $E'$ be 2-isogenous elliptic curves over $\Q$. Following \cite{ck}, we call a good prime $p$ \emph{anomalous} if $E(\F_p) \simeq E'(\F_p)$ but $E(\F_{p^2}) \not \simeq E'(\F_{p^2})$. Our main result is an explicit formula for the proporti
Externí odkaz:
http://arxiv.org/abs/2401.06250