The database contains information about Bianchi modular forms over several imaginary quadratic fields including all nine fields of class number $1$, for a range of levels.
Over the five Euclidean imaginary quadratic fields: $\mathbb{Q}(\sqrt{-d})$ for $d=1,2,3,7,11$, we have the dimensions of the full cuspidal space and the new subspace at each $GL_2$-level, for weight 2 forms.
Over all nine class number one fields (the Euclidean fields and also $\mathbb{Q}(\sqrt{-d})$ for $d=19, 43, 67, 163$), and also over $\mathbb{Q}(\sqrt{-5})$, we have the cuspidal and new dimensions for a range of $SL_2$-levels, and for a range of weights.
For each of the five Euclidean fields we also have the complete set of Bianchi newforms of dimension 1 (that is, with rational coefficients) for levels of norm up to a bound depending on the field, currently 100000, 50000, 150000, 50000, 50000 respectively. We also have dimension 2 newforms over $\mathbb{Q}(\sqrt{-1})$ for levels of norm up to $5000$. For each of these newforms the database contains several Hecke eigenvalues.