Base field \(\Q(\sqrt{-11}) \)
Generator \(a\), with minimal polynomial \(x^2 - x + 3\); class number \(1\).
Level 39204.3
| Norm: | 39204 |
| Ideal: | \((198) = \left(2\right) \cdot \left(-a\right)^{2} \cdot \left(a - 1\right)^{2} \cdot \left(-2 a + 1\right)^{2} \) |
| Label: | 39204.3 |
Modular form spaces
| Weight | 2 |
|---|---|
| Dimension of cuspidal subspace: | 749 |
| Dimension of new cuspidal subspace: | 40 |
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 |
|---|---|---|---|---|
| 39204.3-a | 2 | +1 | no | no |
| 39204.3-b | 2 | +1 | no | no |
| 39204.3-c | 2 | +1 | no | no |
| 39204.3-d | 2 | +1 | no | no |
| 39204.3-e | 2 | +1 | no | no |
| 39204.3-f | 2 | +1 | no | no |
| 39204.3-g | 2 | +1 | no | no |
| 39204.3-h | 2 | +1 | no | no |
| 39204.3-i | 2 | +1 | no | no |
| 39204.3-j | 2 | +1 | no | no |
| 39204.3-k | 2 | -1 | yes | no |
| 39204.3-l | 2 | -1 | yes (twist) | no |
| 39204.3-m | 2 | -1 | yes (twist) | no |
| 39204.3-n | 2 | -1 | yes | no |
| 39204.3-o | 2 | -1 | yes | no |
| 39204.3-p | 2 | -1 | yes | no |