Base field \(\Q(\sqrt{-2}) \)
Generator \(a\), with minimal polynomial \(x^2 + 2\); class number \(1\).
Level 23328.4
| Norm: | 23328 |
| Ideal: | \((108 a) = \left(a\right)^{5} \cdot \left(-a - 1\right)^{3} \cdot \left(a - 1\right)^{3} \) |
| Label: | 23328.4 |
Modular form spaces
| Weight | 2 |
|---|---|
| Dimension of cuspidal subspace: | 497 |
| Dimension of new cuspidal subspace: | 32 |
Newforms
This space contains the following newforms of dimension 1. Newforms of higher dimension are not yet in the database.
| label | weight | sign | base change | CM |
|---|---|---|---|---|
| 23328.4-a | 2 | -1 | yes | no |
| 23328.4-b | 2 | +1 | yes | no |
| 23328.4-c | 2 | +1 | yes (twist) | no |
| 23328.4-d | 2 | -1 | yes (twist) | no |
| 23328.4-e | 2 | +1 | yes | no |
| 23328.4-f | 2 | -1 | yes | no |
| 23328.4-g | 2 | -1 | yes (twist) | no |
| 23328.4-h | 2 | +1 | yes (twist) | no |
| 23328.4-i | 2 | +1 | yes | no |
| 23328.4-j | 2 | +1 | yes | no |
| 23328.4-k | 2 | -1 | yes | no |
| 23328.4-l | 2 | -1 | yes | no |
| 23328.4-m | 2 | -1 | yes (twist) | no |
| 23328.4-n | 2 | +1 | yes (twist) | no |
| 23328.4-o | 2 | +1 | yes | no |
| 23328.4-p | 2 | -1 | yes | no |
| 23328.4-q | 2 | +1 | yes (twist) | no |
| 23328.4-r | 2 | -1 | yes (twist) | no |
| 23328.4-s | 2 | -1 | yes | no |
| 23328.4-t | 2 | +1 | yes | no |