Base field \(\Q(\sqrt{-1}) \)
Generator \(i\), with minimal polynomial \(x^{2} + 1\); class number \(1\).
Level 57600.2
| Norm: | 57600 |
| Ideal: | \((240) = \left(i + 1\right)^{8} \cdot \left(3\right) \cdot \left(-i - 2\right) \cdot \left(2 i + 1\right) \) |
| Label: | 57600.2 |
Modular form spaces
| Weight | 2 |
|---|---|
| Dimension of cuspidal subspace: | 391 |
| Dimension of new cuspidal subspace: | 34 |
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 |
|---|---|---|---|---|
| 57600.2-a | 2 | +1 | yes | no |
| 57600.2-b | 2 | -1 | no | no |
| 57600.2-ba | 2 | +1 | yes | no |
| 57600.2-bb | 2 | +1 | yes | no |
| 57600.2-c | 2 | -1 | no | no |
| 57600.2-d | 2 | -1 | yes | no |
| 57600.2-e | 2 | -1 | no | no |
| 57600.2-f | 2 | -1 | yes | no |
| 57600.2-g | 2 | +1 | yes | no |
| 57600.2-h | 2 | -1 | no | no |
| 57600.2-i | 2 | -1 | no | no |
| 57600.2-j | 2 | +1 | no | no |
| 57600.2-k | 2 | +1 | no | no |
| 57600.2-l | 2 | +1 | no | no |
| 57600.2-m | 2 | +1 | no | no |
| 57600.2-n | 2 | +1 | no | no |
| 57600.2-o | 2 | -1 | no | no |
| 57600.2-p | 2 | +1 | no | no |
| 57600.2-q | 2 | +1 | no | no |
| 57600.2-r | 2 | +1 | no | no |
| 57600.2-s | 2 | -1 | no | no |
| 57600.2-t | 2 | -1 | no | no |
| 57600.2-u | 2 | -1 | no | no |
| 57600.2-v | 2 | -1 | no | no |
| 57600.2-w | 2 | +1 | no | no |
| 57600.2-x | 2 | +1 | no | no |
| 57600.2-y | 2 | -1 | yes | no |
| 57600.2-z | 2 | -1 | yes | no |