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The database currently contains 215,630 Bianchi modular forms of weight 2 over 32 imaginary quadratic fields. Here are some further statistics.

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Newforms by base field: \(\Q(\sqrt{-1})\)   \(\Q(\sqrt{-2})\)   \(\Q(\sqrt{-3})\)   \(\Q(\sqrt{-5})\)   \(\Q(\sqrt{-6})\)   \(\Q(\sqrt{-7})\)   \(\Q(\sqrt{-10})\)   \(\Q(\sqrt{-11})\)   \(\Q(\sqrt{-13})\)   \(\Q(\sqrt{-14})\)   \(\Q(\sqrt{-15})\)   \(\Q(\sqrt{-17})\)   \(\Q(\sqrt{-19})\)   \(\Q(\sqrt{-21})\)   \(\Q(\sqrt{-22})\)   \(\Q(\sqrt{-23})\)   ...
\(\GL_2\) newform spaces by base field: \(\Q(\sqrt{-1})\)   \(\Q(\sqrt{-2})\)   \(\Q(\sqrt{-3})\)   \(\Q(\sqrt{-5})\)   \(\Q(\sqrt{-6})\)   \(\Q(\sqrt{-7})\)   \(\Q(\sqrt{-10})\)   \(\Q(\sqrt{-11})\)   \(\Q(\sqrt{-13})\)   \(\Q(\sqrt{-14})\)   \(\Q(\sqrt{-15})\)   \(\Q(\sqrt{-17})\)   \(\Q(\sqrt{-19})\)   \(\Q(\sqrt{-21})\)   \(\Q(\sqrt{-22})\)   \(\Q(\sqrt{-23})\)   ...
\(\SL_2\) newform spaces by base field: \(\Q(\sqrt{-1})\)   \(\Q(\sqrt{-2})\)   \(\Q(\sqrt{-3})\)   \(\Q(\sqrt{-5})\)   \(\Q(\sqrt{-7})\)   \(\Q(\sqrt{-11})\)   \(\Q(\sqrt{-19})\)   \(\Q(\sqrt{-43})\)   \(\Q(\sqrt{-67})\)   \(\Q(\sqrt{-163})\)  
Some interesting Bianchi modular forms or a random Bianchi modular form

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e.g. 2.0.4.1-65.2-a (single form) or 2.0.4.1-65.2 (space of forms at a level)