The probability of non-isomorphic group structures of isogenous elliptic curves in finite field extensions, II

John Cullinan, Shanna Dobson, Linda Frey +5

Let $E$ and $E^{\prime }$ 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…