Superspecial Abelian Varieties and the Eichler Basis Problem for Hilbert Modular Forms

Marc-Hubert Nicole

Let $p$ be an unramified prime in a totally real field $L$ such that $h^{+}(L)=1$. Our main result shows that Hilbert modular newforms of parallel weight two for ${\Gamma }_0(p)$ can be cons…