The Eisenstein ideal and Jacquet-Langlands isogeny over function fields

Mihran Papikian, Fu-Tsun Wei

Let $\mathfrak{p}$ and $\mathfrak{q}$ be two distinct prime ideals of ${\mathbb{F}}_q[T]$. We use the Eisenstein ideal of the Hecke algebra of the Drinfeld modular curve $X_0(\frak{p}\frak{q…