Department of Mathematics

Bianchi Modular Forms are generalization of classical modular forms defined over Imaginary quadratic fields. Similar to the classical case, we can use the theory of modular symbols for computation. However, when the class group of the Imaginary quadratic field is non-trivial, we can only directly compute certain components. But we can still use some computational tricks to extract the Bianchi Modular forms as Hecke eigensystems. In this talk, I will go over some of these computational techniques for the field $\mathbb{Q}(\sqrt{-17}$ which has class number $4$. With explicit example, I will demonstrate interesting Hecke eigensystems we observed.