Base field \(\Q(\sqrt{-2}) \)
Generator \(a\), with minimal polynomial \(x^2 + 2\); class number \(1\).
Level 27378.3
| Norm: | 27378 |
| Ideal: | \((117 a) = \left(a\right) \cdot \left(-a - 1\right)^{2} \cdot \left(a - 1\right)^{2} \cdot \left(13\right) \) |
| Label: | 27378.3 |
Modular form spaces
| Weight | 2 |
|---|---|
| Dimension of cuspidal subspace: | 125 |
| Dimension of new cuspidal subspace: | 5 |
Newforms
This space contains the following newforms of dimension 1.
| label | weight | sign | base change | CM |
|---|---|---|---|---|
| 27378.3-a | 2 | +1 | yes | no |
| 27378.3-b | 2 | +1 | yes | no |
| 27378.3-c | 2 | -1 | yes | no |
| 27378.3-d | 2 | -1 | yes | no |
| 27378.3-e | 2 | -1 | yes | no |