Morphisms on the modular curve $X_0(p)$ and degree $6$ points

Maarten Derickx, Petar Orlić

Let $p$ be a prime. We study non-constant morphisms $f:X_0(p{)}_{\to }Y$, where $Y/\mathbb{Q}$ is a curve of genus $\ge 2$. We prove that for $p<3000$ such an $f$ of degree $d>…