2 papers
math.NT2025
Zeta functions of abstract isogeny graphs and modular curves
Jun Bo Lau, Travis Morrison, Eli Orvis +2
We introduce a ``non-orientable'' variation of Serre's definition of a graph, which we call an abstract isogeny graph. These objects capture the combinatorics of the graphs $G(p,\e…
math.NT2024
The probability of non-isomorphic group structures of isogenous elliptic curves in finite field extensions, II
John Cullinan, Shanna Dobson, Linda Frey +5
Let and be 2-isogenous elliptic curves over $\Q$. Following \cite{ck}, we call a good prime \emph{anomalous} if $E(\F_p) \simeq E'(\F_p)$ but $E(\F_{p^2}) \not \simeq…