Base field \(\Q(\sqrt{-2}) \)

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

Level 3456.3

Norm: 3456
Ideal: \((-24 a - 48) = \left(a\right)^{7} \cdot \left(-a - 1\right) \cdot \left(a - 1\right)^{2} \)
Label: 3456.3

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 108
Dimension of new cuspidal subspace: 8

Newforms

This space contains the following newforms of dimension 1.

label weight sign base change CM
3456.3-a 2 +1 yes (twist) no
3456.3-b 2 -1 no no
3456.3-c 2 -1 no no
3456.3-d 2 +1 yes (twist) no
3456.3-e 2 +1 yes (twist) no
3456.3-f 2 -1 no no
3456.3-g 2 +1 no no
3456.3-h 2 +1 yes (twist) no