Base field \(\Q(\sqrt{-3}) \)
Generator \(a\), with minimal polynomial \(x^2 - x + 1\); class number \(1\).
Level 53361.3
| Norm: | 53361 |
| Ideal: | \((-165 a + 264) = \left(a + 1\right)^{2} \cdot \left(a - 3\right)^{2} \cdot \left(11\right) \) |
| Label: | 53361.3 |
Modular form spaces
| Weight | 2 |
|---|---|
| Dimension of cuspidal subspace: | 38 |
| Dimension of new cuspidal subspace: | 6 |
Newforms
This space contains the following newforms of dimension 1.
| label | weight | sign | base change | CM |
|---|---|---|---|---|
| 53361.3-a | 2 | -1 | no | no |
| 53361.3-b | 2 | +1 | no | no |
| 53361.3-c | 2 | -1 | yes (twist) | no |
| 53361.3-d | 2 | +1 | no | no |
| 53361.3-e | 2 | +1 | no | no |
| 53361.3-f | 2 | -1 | yes (twist) | no |