Base field \(\Q(\sqrt{-7}) \)
Generator \(a\), with minimal polynomial \(x^{2} - x + 2\); class number \(1\).
Level 30492.5
| Norm: | 30492 |
| Ideal: | \((-132 a + 66) = \left(a\right) \cdot \left(-a + 1\right) \cdot \left(3\right) \cdot \left(-2 a + 1\right) \cdot \left(-2 a + 3\right) \cdot \left(2 a + 1\right) \) |
| Label: | 30492.5 |
Modular form spaces
| Weight | 2 |
|---|---|
| Dimension of cuspidal subspace: | 321 |
| Dimension of new cuspidal subspace: | 29 |
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 |
|---|---|---|---|---|
| 30492.5-a | 2 | +1 | yes | no |
| 30492.5-b | 2 | +1 | yes | no |
| 30492.5-c | 2 | -1 | no | no |
| 30492.5-d | 2 | -1 | no | no |
| 30492.5-e | 2 | +1 | yes | no |
| 30492.5-f | 2 | -1 | yes | no |
| 30492.5-g | 2 | -1 | no | no |
| 30492.5-h | 2 | -1 | no | no |
| 30492.5-i | 2 | -1 | no | no |
| 30492.5-j | 2 | +1 | no | no |
| 30492.5-k | 2 | -1 | no | no |
| 30492.5-l | 2 | -1 | no | no |
| 30492.5-m | 2 | -1 | no | no |
| 30492.5-n | 2 | +1 | no | no |
| 30492.5-o | 2 | +1 | yes | no |
| 30492.5-p | 2 | +1 | no | no |
| 30492.5-q | 2 | +1 | no | no |
| 30492.5-r | 2 | -1 | yes | no |
| 30492.5-s | 2 | -1 | yes | no |