Base field \(\Q(\sqrt{-7}) \)
Generator \(a\), with minimal polynomial \(x^{2} - x + 2\); class number \(1\).
Level 42592.18
| Norm: | 42592 |
| Ideal: | \((154 a - 110) = \left(a\right) \cdot \left(-a + 1\right)^{4} \cdot \left(-2 a + 3\right)^{2} \cdot \left(2 a + 1\right) \) |
| Label: | 42592.18 |
Modular form spaces
| Weight | 2 |
|---|---|
| Dimension of cuspidal subspace: | 284 |
| Dimension of new cuspidal subspace: | 14 |
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 |
|---|---|---|---|---|
| 42592.18-a | 2 | +1 | no | no |
| 42592.18-b | 2 | +1 | no | no |
| 42592.18-c | 2 | -1 | no | no |
| 42592.18-d | 2 | +1 | no | no |
| 42592.18-e | 2 | -1 | no | no |
| 42592.18-f | 2 | +1 | no | no |
| 42592.18-g | 2 | +1 | no | no |
| 42592.18-h | 2 | -1 | no | no |
| 42592.18-i | 2 | -1 | no | no |
| 42592.18-j | 2 | -1 | no | no |
| 42592.18-k | 2 | -1 | no | no |
| 42592.18-l | 2 | +1 | no | no |