Isogeny graphs of elliptic curves in characteristic zero

Alexander J. Barrios, Enrique González-Jiménez, Ivan Novak

For an elliptic curve $E$ defined over a field $K$ of characteristic $0$ with ${\mathrm{End}}_{K}E\cong \mathbb{Z}$, we classify which isogeny graphs $\mathcal{G}(E/K)$ can…