Base field \(\Q(\sqrt{-1}) \)
Generator \(i\), with minimal polynomial \(x^{2} + 1\); class number \(1\).
Level 82944.1
| Norm: | 82944 |
| Ideal: | \((288) = \left(i + 1\right)^{10} \cdot \left(3\right)^{2} \) |
| Label: | 82944.1 |
Modular form spaces
| Weight | 2 |
|---|---|
| Dimension of cuspidal subspace: | 321 |
| Dimension of new cuspidal subspace: | 52 |
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 |
|---|---|---|---|---|
| 82944.1-a | 2 | -1 | yes | no |
| 82944.1-b | 2 | -1 | no | no |
| 82944.1-c | 2 | -1 | yes | no |
| 82944.1-d | 2 | +1 | yes | no |
| 82944.1-e | 2 | +1 | yes | no |
| 82944.1-f | 2 | +1 | yes (twist) | no |
| 82944.1-g | 2 | -1 | yes (twist) | no |
| 82944.1-h | 2 | -1 | no | no |
| 82944.1-i | 2 | +1 | yes | no |
| 82944.1-j | 2 | -1 | yes (twist) | $-3$ |
| 82944.1-k | 2 | -1 | yes (twist) | $-3$ |
| 82944.1-l | 2 | -1 | yes | no |
| 82944.1-m | 2 | +1 | no | no |
| 82944.1-n | 2 | -1 | yes (twist) | no |
| 82944.1-o | 2 | +1 | yes (twist) | no |
| 82944.1-p | 2 | -1 | yes | no |
| 82944.1-q | 2 | -1 | yes | no |
| 82944.1-r | 2 | +1 | yes | no |
| 82944.1-s | 2 | +1 | no | no |
| 82944.1-t | 2 | +1 | yes | no |