Base field \(\Q(\sqrt{-11}) \)
Generator \(a\), with minimal polynomial \(x^{2} - x + 3\); class number \(1\).
Level 27225.2
| Norm: | 27225 |
| Ideal: | \((55 a - 165) = \left(-a\right)^{2} \cdot \left(-a - 1\right) \cdot \left(a - 2\right) \cdot \left(-2 a + 1\right)^{2} \) |
| Label: | 27225.2 |
Modular form spaces
| Weight | 2 |
|---|---|
| Dimension of cuspidal subspace: | 217 |
| Dimension of new cuspidal subspace: | 27 |
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 |
|---|---|---|---|---|
| 27225.2-a | 2 | -1 | no | no |
| 27225.2-b | 2 | +1 | yes (twist) | no |
| 27225.2-c | 2 | +1 | no | no |
| 27225.2-d | 2 | +1 | yes (twist) | no |
| 27225.2-e | 2 | +1 | no | no |
| 27225.2-f | 2 | +1 | no | no |
| 27225.2-g | 2 | +1 | yes (twist) | no |