Base field \(\Q(\sqrt{-2}) \)
Generator \(a\), with minimal polynomial \(x^2 + 2\); class number \(1\).
Level 27648.3
| Norm: | 27648 |
| Ideal: | \((96 a - 96) = \left(a\right)^{10} \cdot \left(-a - 1\right) \cdot \left(a - 1\right)^{2} \) |
| Label: | 27648.3 |
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 |
|---|---|---|---|---|
| 27648.3-a | 2 | -1 | no | no |
| 27648.3-b | 2 | -1 | yes (twist) | no |
| 27648.3-ba | 2 | -1 | no | no |
| 27648.3-bb | 2 | -1 | no | no |
| 27648.3-bc | 2 | +1 | yes (twist) | no |
| 27648.3-bd | 2 | +1 | yes (twist) | no |
| 27648.3-be | 2 | +1 | no | no |
| 27648.3-bf | 2 | -1 | no | no |
| 27648.3-bg | 2 | -1 | no | no |
| 27648.3-bh | 2 | +1 | yes (twist) | no |
| 27648.3-bi | 2 | -1 | yes (twist) | no |
| 27648.3-bj | 2 | +1 | no | no |
| 27648.3-bk | 2 | -1 | no | no |
| 27648.3-bl | 2 | +1 | no | no |
| 27648.3-bm | 2 | -1 | no | no |
| 27648.3-bn | 2 | +1 | no | no |
| 27648.3-bo | 2 | +1 | no | no |
| 27648.3-bp | 2 | +1 | yes (twist) | no |
| 27648.3-bq | 2 | +1 | yes (twist) | no |
| 27648.3-br | 2 | -1 | no | no |
| 27648.3-bs | 2 | -1 | no | no |
| 27648.3-bt | 2 | +1 | yes (twist) | no |
| 27648.3-bu | 2 | +1 | no | no |
| 27648.3-bv | 2 | -1 | no | no |
| 27648.3-c | 2 | +1 | no | no |
| 27648.3-d | 2 | -1 | no | no |
| 27648.3-e | 2 | -1 | no | no |
| 27648.3-f | 2 | -1 | yes (twist) | no |
| 27648.3-g | 2 | -1 | yes (twist) | no |
| 27648.3-h | 2 | -1 | no | no |
| 27648.3-i | 2 | +1 | no | no |
| 27648.3-j | 2 | +1 | no | no |
| 27648.3-k | 2 | +1 | no | no |
| 27648.3-l | 2 | -1 | no | no |
| 27648.3-m | 2 | +1 | no | no |
| 27648.3-n | 2 | -1 | yes (twist) | no |
| 27648.3-o | 2 | +1 | yes (twist) | no |
| 27648.3-p | 2 | +1 | no | no |
| 27648.3-q | 2 | -1 | no | no |
| 27648.3-r | 2 | -1 | no | no |
| 27648.3-s | 2 | -1 | yes (twist) | no |
| 27648.3-t | 2 | -1 | yes (twist) | no |
| 27648.3-u | 2 | -1 | no | no |
| 27648.3-v | 2 | +1 | no | no |
| 27648.3-w | 2 | +1 | yes (twist) | no |
| 27648.3-x | 2 | +1 | no | no |
| 27648.3-y | 2 | +1 | no | no |
| 27648.3-z | 2 | -1 | yes (twist) | no |