Base field \(\Q(\sqrt{-3}) \)
Generator \(a\), with minimal polynomial \(x^{2} - x + 1\); class number \(1\).
Level 49152.1
| Norm: | 49152 |
| Ideal: | \((128 a + 128) = \left(2\right)^{7} \cdot \left(a + 1\right) \) |
| Label: | 49152.1 |
Modular form spaces
| Weight | 2 |
|---|---|
| Dimension of cuspidal subspace: | 125 |
| Dimension of new cuspidal subspace: | 24 |
Newforms
This space contains the following newforms of dimension 1.
| label | weight | sign | base change | CM |
|---|---|---|---|---|
| 49152.1-a | 2 | -1 | no | no |
| 49152.1-b | 2 | +1 | yes | no |
| 49152.1-c | 2 | +1 | yes | no |
| 49152.1-d | 2 | -1 | no | no |
| 49152.1-e | 2 | -1 | no | no |
| 49152.1-f | 2 | -1 | no | no |
| 49152.1-g | 2 | +1 | no | no |
| 49152.1-h | 2 | -1 | no | no |
| 49152.1-i | 2 | +1 | no | no |
| 49152.1-j | 2 | +1 | yes | no |
| 49152.1-k | 2 | +1 | yes | no |
| 49152.1-l | 2 | -1 | no | no |
| 49152.1-m | 2 | -1 | no | no |
| 49152.1-n | 2 | -1 | yes | no |
| 49152.1-o | 2 | -1 | yes | no |
| 49152.1-p | 2 | -1 | no | no |
| 49152.1-q | 2 | +1 | no | no |
| 49152.1-r | 2 | -1 | no | no |
| 49152.1-s | 2 | -1 | no | no |
| 49152.1-t | 2 | -1 | no | no |
| 49152.1-u | 2 | -1 | no | no |
| 49152.1-v | 2 | -1 | yes | no |
| 49152.1-w | 2 | -1 | yes | no |
| 49152.1-x | 2 | +1 | no | no |