Base field \(\Q(\sqrt{-7}) \)
Generator \(a\), with minimal polynomial \(x^{2} - x + 2\); class number \(1\).
Level 16128.7
| Norm: | 16128 |
| Ideal: | \((12 a - 132) = \left(a\right)^{2} \cdot \left(-a + 1\right)^{6} \cdot \left(3\right) \cdot \left(-2 a + 1\right) \) |
| Label: | 16128.7 |
Modular form spaces
| Weight | 2 |
|---|---|
| Dimension of cuspidal subspace: | 310 |
| Dimension of new cuspidal subspace: | 6 |
Newforms
This space contains the following newforms of dimension 1.
| label | weight | sign | base change | CM |
|---|---|---|---|---|
| 16128.7-a | 2 | +1 | yes (twist) | no |
| 16128.7-b | 2 | +1 | no | no |
| 16128.7-c | 2 | -1 | no | no |
| 16128.7-d | 2 | -1 | yes (twist) | no |
| 16128.7-e | 2 | -1 | no | no |
| 16128.7-f | 2 | +1 | no | no |