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The database currently contains 185,800 Bianchi modular forms of weight 2 over several imaginary quadratic fields. Here are some further statistics.

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Newforms by base field: \(\Q(\sqrt{-1})\)   \(\Q(\sqrt{-2})\)   \(\Q(\sqrt{-3})\)   \(\Q(\sqrt{-7})\)   \(\Q(\sqrt{-11})\)  
\(\GL_2\) newform spaces by base field: \(\Q(\sqrt{-1})\)   \(\Q(\sqrt{-2})\)   \(\Q(\sqrt{-3})\)   \(\Q(\sqrt{-7})\)   \(\Q(\sqrt{-11})\)  
\(\SL_2\) newform spaces by base field: \(\Q(\sqrt{-1})\)   \(\Q(\sqrt{-2})\)   \(\Q(\sqrt{-3})\)   \(\Q(\sqrt{-7})\)   \(\Q(\sqrt{-11})\)   \(\Q(\sqrt{-19})\)   \(\Q(\sqrt{-43})\)   \(\Q(\sqrt{-67})\)   \(\Q(\sqrt{-163})\)   \(\Q(\sqrt{-5})\)  
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)