Base field \(\Q(\sqrt{-11}) \)
Generator \(a\), with minimal polynomial \(x^{2} - x + 3\); class number \(1\).
Level 39600.5
| Norm: | 39600 |
| Ideal: | \((-120 a + 60) = \left(2\right)^{2} \cdot \left(-a\right) \cdot \left(a - 1\right) \cdot \left(-a - 1\right) \cdot \left(a - 2\right) \cdot \left(-2 a + 1\right) \) |
| Label: | 39600.5 |
Modular form spaces
| Weight | 2 |
|---|---|
| Dimension of cuspidal subspace: | 627 |
| 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 |
|---|---|---|---|---|
| 39600.5-a | 2 | -1 | yes | no |
| 39600.5-b | 2 | +1 | yes | no |
| 39600.5-c | 2 | +1 | no | no |
| 39600.5-d | 2 | +1 | no | no |
| 39600.5-e | 2 | +1 | no | no |
| 39600.5-f | 2 | +1 | no | no |
| 39600.5-g | 2 | -1 | yes | no |
| 39600.5-h | 2 | +1 | yes | no |
| 39600.5-i | 2 | +1 | no | no |
| 39600.5-j | 2 | +1 | no | no |