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:

- \(\GL_2\) levels over \(\Q(\sqrt{-1})\), \(\Q(\sqrt{-2})\), \(\Q(\sqrt{-3})\), \(\Q(\sqrt{-7})\), \(\Q(\sqrt{-11})\)
- \(\SL_2\) levels over \(\Q(\sqrt{-1})\), \(\Q(\sqrt{-2})\), \(\Q(\sqrt{-3})\), \(\Q(\sqrt{-7})\), \(\Q(\sqrt{-11})\), \(\Q(\sqrt{-19})\), \(\Q(\sqrt{-43})\), \(\Q(\sqrt{-67})\), \(\Q(\sqrt{-163})\), \(\Q(\sqrt{-5})\)

## Find a specific form or space by label

#### Examples of base change forms

- base-change of a newform with rational coefficients: 2.0.4.1-100.2-a (with an associated elliptic curve which is a base-change)
- base-change of a newform with coefficients in \(\mathbb{Q}(\sqrt{2})\): 2.0.4.1-16384.1-d (with an associated elliptic curve which is not a base-change)
- base-change of a newform with coefficients in \(\mathbb{Q}(\sqrt{6})\): 2.0.3.1-6561.1-b (with no associated elliptic curve)
- base-change of a newform with coefficients in \(\mathbb{Q}(\sqrt{5})\), with CM by \(\mathbb{Q}(\sqrt{-35})\): 2.0.7.1-10000.1-b (with no associated elliptic curve)

A random Bianchi modular form from the database