Base field \(\Q(\sqrt{-7}) \)
Generator \(a\), with minimal polynomial \(x^{2} - x + 2\); class number \(1\).
Level 28672.9
| Norm: | 28672 |
| Ideal: | \((16 a - 176) = \left(a\right)^{4} \cdot \left(-a + 1\right)^{8} \cdot \left(-2 a + 1\right) \) |
| Label: | 28672.9 |
Modular form spaces
| Weight | 2 |
|---|---|
| Dimension of cuspidal subspace: | 566 |
| Dimension of new cuspidal subspace: | 18 |
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 |
|---|---|---|---|---|
| 28672.9-a | 2 | -1 | no | no |
| 28672.9-b | 2 | +1 | no | no |
| 28672.9-c | 2 | -1 | no | no |
| 28672.9-d | 2 | +1 | no | no |
| 28672.9-e | 2 | +1 | no | no |
| 28672.9-f | 2 | -1 | no | no |
| 28672.9-g | 2 | -1 | no | no |
| 28672.9-h | 2 | -1 | no | no |
| 28672.9-i | 2 | -1 | no | no |
| 28672.9-j | 2 | +1 | no | no |
| 28672.9-k | 2 | -1 | no | no |
| 28672.9-l | 2 | +1 | no | no |
| 28672.9-m | 2 | +1 | no | no |
| 28672.9-n | 2 | +1 | no | no |