Base field \(\Q(\sqrt{-7}) \)
Generator \(a\), with minimal polynomial \(x^{2} - x + 2\); class number \(1\).
Level 28672.7
| Norm: | 28672 |
| Ideal: | \((-128 a + 64) = \left(a\right)^{6} \cdot \left(-a + 1\right)^{6} \cdot \left(-2 a + 1\right) \) |
| Label: | 28672.7 |
Modular form spaces
| Weight | 2 |
|---|---|
| Dimension of cuspidal subspace: | 719 |
| Dimension of new cuspidal subspace: | 28 |
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 |
|---|---|---|---|---|
| 28672.7-a | 2 | -1 | yes | no |
| 28672.7-b | 2 | -1 | no | no |
| 28672.7-c | 2 | -1 | no | no |
| 28672.7-d | 2 | -1 | yes | no |
| 28672.7-e | 2 | -1 | yes | no |
| 28672.7-f | 2 | -1 | yes | no |
| 28672.7-g | 2 | -1 | no | no |
| 28672.7-h | 2 | +1 | no | no |
| 28672.7-i | 2 | -1 | no | no |
| 28672.7-j | 2 | +1 | no | no |
| 28672.7-k | 2 | +1 | no | no |
| 28672.7-l | 2 | +1 | no | no |
| 28672.7-m | 2 | +1 | yes | no |
| 28672.7-n | 2 | +1 | yes | no |
| 28672.7-o | 2 | +1 | yes | no |
| 28672.7-p | 2 | +1 | yes | no |
| 28672.7-q | 2 | -1 | no | no |
| 28672.7-r | 2 | -1 | no | no |
| 28672.7-s | 2 | +1 | no | no |
| 28672.7-t | 2 | -1 | no | no |
| 28672.7-u | 2 | +1 | no | no |
| 28672.7-v | 2 | -1 | no | no |
| 28672.7-w | 2 | -1 | no | no |
| 28672.7-x | 2 | -1 | no | no |