Base field \(\Q(\sqrt{-11}) \)
Generator \(a\), with minimal polynomial \(x^{2} - x + 3\); class number \(1\).
Level 1089.1
| Norm: | 1089 |
| Ideal: | \((11 a - 33) = \left(-a\right)^{2} \cdot \left(-2 a + 1\right)^{2} \) |
| Label: | 1089.1 |
Modular form spaces
| Weight | 2 |
|---|---|
| Dimension of cuspidal subspace: | 14 |
| Dimension of new cuspidal subspace: | 3 |
Newforms
This space contains the following newforms of dimension 1.
| label | weight | sign | base change | CM |
|---|---|---|---|---|
| 1089.1-a | 2 | -1 | yes (twist) | no |
| 1089.1-b | 2 | +1 | no | no |
| 1089.1-c | 2 | -1 | yes (twist) | no |