Eigenvalues and congruences for the weight $3$ paramodular nonlifts of levels $61$, $73$, and $79$

Cris Poor, Jerry Shurman, David S. Yuen

We use Borcherds products to give a new construction of the weight $3$ paramodular nonlift eigenform $f_N$ for levels $N=61,73,79$. We classify the congruences of $f_N$ to Grit…