Properties

Base field \(\Q(\sqrt{-3}) \)
Level 192.1
Norm 192
New dimension 1

Related objects

Base field \(\Q(\sqrt{-3}) \)

Generator \(a\), with minimal polynomial \(x^{2} - x + 1\); class number \(1\).

Level 192.1

Norm: 192
Ideal: \((-16 a + 8) = \left(2\right)^{3} \cdot \left(-2 a + 1\right) \)
Label: 192.1

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 1
Dimension of new cuspidal subspace: 1

Newforms

There is one rational cuspidal newform at this level in the database:

label weight dimension sign base change CM
192.1-a 2 1 +1 yes no