Base field \(\Q(\sqrt{-11}) \)
Generator \(a\), with minimal polynomial \(x^{2} - x + 3\); class number \(1\).
Level 12544.1
| Norm: | 12544 |
| Ideal: | \((112) = \left(2\right)^{4} \cdot \left(7\right) \) |
| Label: | 12544.1 |
Modular form spaces
| Weight | 2 |
|---|---|
| Dimension of cuspidal subspace: | 49 |
| Dimension of new cuspidal subspace: | 37 |
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 |
|---|---|---|---|---|
| 12544.1-a | 2 | +1 | yes (twist) | no |
| 12544.1-b | 2 | +1 | yes | no |
| 12544.1-c | 2 | -1 | yes (twist) | no |
| 12544.1-d | 2 | -1 | no | no |
| 12544.1-e | 2 | -1 | yes (twist) | no |
| 12544.1-f | 2 | -1 | no | no |
| 12544.1-g | 2 | +1 | yes | no |
| 12544.1-h | 2 | -1 | no | no |
| 12544.1-i | 2 | -1 | yes (twist) | no |
| 12544.1-j | 2 | -1 | no | no |
| 12544.1-k | 2 | -1 | yes (twist) | no |
| 12544.1-l | 2 | +1 | yes | no |
| 12544.1-m | 2 | +1 | yes (twist) | no |