Learn more about

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.

Browse Bianchi modular forms

Browse newforms by base field: \(\Q(\sqrt{-1})\), \(\Q(\sqrt{-2})\), \(\Q(\sqrt{-3})\), \(\Q(\sqrt{-7})\), \(\Q(\sqrt{-11})\)

Browse newform spaces by base field:

Find a specific form or space by label


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

Examples of base change forms

A random Bianchi modular form from the database

Search

base field either a field label, e.g. 2.0.4.1 for \(\mathbb{Q}(\sqrt{-1})\), or a nickname, e.g. Qsqrt-1
level norm e.g. 1 or 1-100 dimension e.g. 1 or 2
sign   base change forms CM
Maximum number