Base field \(\Q(\sqrt{-11}) \)
Generator \(a\), with minimal polynomial \(x^{2} - x + 3\); class number \(1\).
Level 19404.2
| Norm: | 19404 |
| Ideal: | \((-84 a + 42) = \left(2\right) \cdot \left(-a\right) \cdot \left(a - 1\right) \cdot \left(7\right) \cdot \left(-2 a + 1\right) \) |
| Label: | 19404.2 |
Modular form spaces
| Weight | 2 |
|---|---|
| Dimension of cuspidal subspace: | 171 |
| Dimension of new cuspidal subspace: | 17 |
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 |
|---|---|---|---|---|
| 19404.2-a | 2 | -1 | no | no |
| 19404.2-b | 2 | -1 | no | no |
| 19404.2-c | 2 | -1 | no | no |
| 19404.2-d | 2 | -1 | no | no |
| 19404.2-e | 2 | -1 | yes | no |
| 19404.2-f | 2 | +1 | yes | no |
| 19404.2-g | 2 | -1 | yes | no |
| 19404.2-h | 2 | +1 | yes | no |
| 19404.2-i | 2 | -1 | no | no |
| 19404.2-j | 2 | -1 | no | no |
| 19404.2-k | 2 | -1 | yes | no |
| 19404.2-l | 2 | -1 | yes | no |
| 19404.2-m | 2 | +1 | yes | no |