Sporadic points of odd degree on $X_1(N)$ coming from $\mathbb{Q}$-curves

Abbey Bourdon, Filip Najman

We say a closed point $x$ on a curve $C$ is sporadic if there are only finitely many points on $C$ of degree at most deg$(x)$. In the case where $C$ is the modular curve $X_1(N)$,…