User peterp - MathOverflow most recent 30 from http://mathoverflow.net 2013-05-19T13:09:57Z http://mathoverflow.net/feeds/user/25117 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/102243/reduction-of-endomorphism-ring-of-non-cm-elliptic-curve Reduction of endomorphism ring of Non-CM elliptic curve PeterP 2012-07-14T17:56:13Z 2012-07-14T17:56:13Z <p>Let $E$ be an elliptic curve defined over a number field without complex multiplication and with ordinary reduction at a prime $p\in\mathbb{N}$. When is the reduction mod $p$ map a surjection on the endomorphism ring I.e. $\overline{End(E)} \cong End(\overline{E})$?</p>