Base field \(\Q(\sqrt{-2}) \)
Generator \(a\), with minimal polynomial \(x^{2} + 2\); class number \(1\).
Level 11664.4
Norm: | 11664 |
Ideal: | \((108) = \left(a\right)^{4} \cdot \left(-a - 1\right)^{3} \cdot \left(a - 1\right)^{3} \) |
Label: | 11664.4 |
Modular form spaces
Weight | 2 |
---|---|
Dimension of cuspidal subspace: | 243 |
Dimension of new cuspidal subspace: | 18 |
Newforms
This space contains the following newforms of dimension 1.
label | weight | sign | base change | CM |
---|---|---|---|---|
11664.4-a | 2 | -1 | no | no |
11664.4-b | 2 | -1 | yes (twist) | no |
11664.4-c | 2 | +1 | yes | no |
11664.4-d | 2 | +1 | yes | no |
11664.4-e | 2 | -1 | yes | no |
11664.4-f | 2 | +1 | yes (twist) | no |
11664.4-g | 2 | +1 | yes (twist) | no |
11664.4-h | 2 | -1 | no | no |
11664.4-i | 2 | -1 | yes | $-3$ |
11664.4-j | 2 | -1 | yes | $-3$ |
11664.4-k | 2 | +1 | no | no |
11664.4-l | 2 | +1 | yes (twist) | no |
11664.4-m | 2 | +1 | yes (twist) | no |
11664.4-n | 2 | -1 | yes | no |
11664.4-o | 2 | +1 | yes | no |
11664.4-p | 2 | +1 | yes | no |
11664.4-q | 2 | -1 | yes (twist) | no |
11664.4-r | 2 | +1 | no | no |