Faltings elliptic curves in twisted $\mathbb{Q}$-isogeny classes

Enrique González-Jiménez, Joan-C. Lario

Let $G$ be the graph attached to the $\mathbb{Q}$-isogeny class of an elliptic curve defined over $\mathbb{Q}$: that is, a vertex for every elliptic curve defined over $\mathbb{Q}$ in…