Base field \(\Q(\sqrt{-2}) \)
Generator \(a\), with minimal polynomial \(x^2 + 2\); class number \(1\).
Level 27648.2
| Norm: | 27648 |
| Ideal: | \((-96 a - 96) = \left(a\right)^{10} \cdot \left(-a - 1\right)^{2} \cdot \left(a - 1\right) \) |
| Label: | 27648.2 |
Modular form spaces
| Weight | 2 |
|---|---|
| Dimension of cuspidal subspace: | 700 |
| Dimension of new cuspidal subspace: | 48 |
Newforms
This space contains the following newforms of dimension 1.
| label | weight | sign | base change | CM |
|---|---|---|---|---|
| 27648.2-a | 2 | -1 | no | no |
| 27648.2-b | 2 | +1 | no | no |
| 27648.2-ba | 2 | +1 | yes (twist) | no |
| 27648.2-bb | 2 | +1 | yes (twist) | no |
| 27648.2-bc | 2 | -1 | no | no |
| 27648.2-bd | 2 | -1 | no | no |
| 27648.2-be | 2 | -1 | no | no |
| 27648.2-bf | 2 | -1 | no | no |
| 27648.2-bg | 2 | -1 | no | no |
| 27648.2-bh | 2 | -1 | yes (twist) | no |
| 27648.2-bi | 2 | +1 | yes (twist) | no |
| 27648.2-bj | 2 | -1 | no | no |
| 27648.2-bk | 2 | -1 | no | no |
| 27648.2-bl | 2 | +1 | no | no |
| 27648.2-bm | 2 | -1 | no | no |
| 27648.2-bn | 2 | +1 | no | no |
| 27648.2-bo | 2 | +1 | yes (twist) | no |
| 27648.2-bp | 2 | +1 | yes (twist) | no |
| 27648.2-bq | 2 | -1 | no | no |
| 27648.2-br | 2 | +1 | no | no |
| 27648.2-bs | 2 | +1 | no | no |
| 27648.2-bt | 2 | +1 | no | no |
| 27648.2-bu | 2 | +1 | yes (twist) | no |
| 27648.2-bv | 2 | +1 | no | no |
| 27648.2-c | 2 | -1 | yes (twist) | no |
| 27648.2-d | 2 | -1 | no | no |
| 27648.2-e | 2 | +1 | no | no |
| 27648.2-f | 2 | +1 | no | no |
| 27648.2-g | 2 | -1 | yes (twist) | no |
| 27648.2-h | 2 | -1 | yes (twist) | no |
| 27648.2-i | 2 | +1 | no | no |
| 27648.2-j | 2 | +1 | no | no |
| 27648.2-k | 2 | +1 | no | no |
| 27648.2-l | 2 | -1 | no | no |
| 27648.2-m | 2 | -1 | no | no |
| 27648.2-n | 2 | +1 | yes (twist) | no |
| 27648.2-o | 2 | -1 | yes (twist) | no |
| 27648.2-p | 2 | -1 | no | no |
| 27648.2-q | 2 | +1 | no | no |
| 27648.2-r | 2 | -1 | no | no |
| 27648.2-s | 2 | +1 | no | no |
| 27648.2-t | 2 | -1 | no | no |
| 27648.2-u | 2 | -1 | yes (twist) | no |
| 27648.2-v | 2 | -1 | yes (twist) | no |
| 27648.2-w | 2 | +1 | yes (twist) | no |
| 27648.2-x | 2 | -1 | no | no |
| 27648.2-y | 2 | +1 | no | no |
| 27648.2-z | 2 | -1 | yes (twist) | no |