Base field \(\Q(\sqrt{-7}) \)
Generator \(a\), with minimal polynomial \(x^2 - x + 2\); class number \(1\).
Level 11664.5
Norm: | 11664 |
Ideal: | \((81 a - 27) = \left(-a + 1\right)^{4} \cdot \left(3\right)^{3} \) |
Label: | 11664.5 |
Modular form spaces
Weight | 2 |
---|---|
Dimension of cuspidal subspace: | 47 |
Dimension of new cuspidal subspace: | 8 |
Newforms
This space contains the following newforms of dimension 1.
label | weight | sign | base change | CM |
---|---|---|---|---|
11664.5-a | 2 | +1 | no | no |
11664.5-b | 2 | -1 | yes (twist) | no |
11664.5-c | 2 | -1 | yes (twist) | no |
11664.5-d | 2 | +1 | no | no |
11664.5-e | 2 | -1 | yes (twist) | no |
11664.5-f | 2 | +1 | no | no |
11664.5-g | 2 | +1 | no | no |
11664.5-h | 2 | -1 | yes (twist) | no |