Base field \(\Q(\sqrt{-7}) \)
Generator \(a\), with minimal polynomial \(x^2 - x + 2\); class number \(1\).
Level 3584.7
| Norm: | 3584 |
| Ideal: | \((40 a + 8) = \left(a\right)^{3} \cdot \left(-a + 1\right)^{6} \cdot \left(-2 a + 1\right) \) |
| Label: | 3584.7 |
Modular form spaces
| Weight | 2 |
|---|---|
| Dimension of cuspidal subspace: | 79 |
| Dimension of new cuspidal subspace: | 5 |
Newforms
This space contains the following newforms of dimension 1.
| label | weight | sign | base change | CM |
|---|---|---|---|---|
| 3584.7-a | 2 | +1 | no | no |
| 3584.7-b | 2 | +1 | yes (twist) | no |
| 3584.7-c | 2 | -1 | no | no |
| 3584.7-d | 2 | +1 | no | no |
| 3584.7-e | 2 | +1 | yes (twist) | no |