2 problems

Let $\mathbf{S}_0(\operatorname{SL}_2(\mathbf{Z});\mathbf{Q}_{11};11^{-r})$ be the space of $11^{-r}$-overconvergent forms of weight $0$ and level $1$, where $r$ is rational and…

Wan's conjecture. For every fixed weight $k$, the denominators of the slopes of overconvergent forms at weight $k$ are bounded.