Base field \(\Q(\sqrt{-7}) \)
Generator \(a\), with minimal polynomial \(x^2 - x + 2\); class number \(1\).
Level 4096.7
| Norm: | 4096 |
| Ideal: | \((64) = \left(a\right)^{6} \cdot \left(-a + 1\right)^{6} \) |
| Label: | 4096.7 |
Modular form spaces
| Weight | 2 |
|---|---|
| Dimension of cuspidal subspace: | 121 |
| Dimension of new cuspidal subspace: | 9 |
Newforms
This space contains the following newforms of dimension 1.
| label | weight | sign | base change | CM |
|---|---|---|---|---|
| 4096.7-a | 2 | -1 | no | no |
| 4096.7-b | 2 | -1 | no | no |
| 4096.7-c | 2 | -1 | yes | $-4$ |
| 4096.7-d | 2 | -1 | yes (twist) | no |
| 4096.7-e | 2 | -1 | yes (twist) | no |
| 4096.7-f | 2 | +1 | yes (twist) | no |
| 4096.7-g | 2 | +1 | yes (twist) | no |
| 4096.7-h | 2 | +1 | no | no |
| 4096.7-i | 2 | +1 | no | no |