Base field \(\Q(\sqrt{-7}) \)
Generator \(a\), with minimal polynomial \(x^{2} - x + 2\); class number \(1\).
Level 12800.4
| Norm: | 12800 |
| Ideal: | \((-40 a - 80) = \left(a\right)^{6} \cdot \left(-a + 1\right)^{3} \cdot \left(5\right) \) |
| Label: | 12800.4 |
Modular form spaces
| Weight | 2 |
|---|---|
| Dimension of cuspidal subspace: | 176 |
| Dimension of new cuspidal subspace: | 7 |
Newforms
This space contains the following newforms of dimension 1.
| label | weight | sign | base change | CM |
|---|---|---|---|---|
| 12800.4-a | 2 | -1 | no | no |
| 12800.4-b | 2 | +1 | yes (twist) | no |
| 12800.4-c | 2 | -1 | yes (twist) | no |
| 12800.4-d | 2 | +1 | yes (twist) | no |
| 12800.4-e | 2 | -1 | no | no |
| 12800.4-f | 2 | -1 | no | no |
| 12800.4-g | 2 | +1 | yes (twist) | no |