Arithmetic intersections on non-split Cartan modular curves

Jonathan Love, Elie Studnia, Jan Vonk

Let $p$ be a prime number, and let $\hat{I}{”}_1,\hat{I}{”}_2<0$ be two coprime fundamental discriminants. When $p$ splits in $\mathbb{Q}(\sqrt{\hat{I}{”}_1})$ and $\mathbb{Q}(\sqrt{\hat{I}{”}_2})$ the height p…