Base field \(\Q(\sqrt{-3}) \)
Generator \(a\), with minimal polynomial \(x^2 - x + 1\); class number \(1\).
Level 53361.1
| Norm: | 53361 |
| Ideal: | \((165 a + 99) = \left(a + 1\right)^{2} \cdot \left(-a - 2\right)^{2} \cdot \left(11\right) \) |
| Label: | 53361.1 |
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 |
|---|---|---|---|---|
| 53361.1-a | 2 | -1 | no | no |
| 53361.1-b | 2 | +1 | no | no |
| 53361.1-c | 2 | -1 | yes (twist) | no |
| 53361.1-d | 2 | +1 | no | no |
| 53361.1-e | 2 | +1 | no | no |
| 53361.1-f | 2 | -1 | yes (twist) | no |