Base field \(\Q(\sqrt{-43}) \)
Generator \(a\), with minimal polynomial \(x^{2} - x + 11\); class number \(1\).
Level 289.2
| Norm: | 289 |
| Ideal: | \((17) = \left(a + 2\right) \cdot \left(a - 3\right) \) |
| Label: | 289.2 |
Modular form spaces
| Weight | 2 |
|---|---|
| Dimension of cuspidal subspace: | 3 |
| Dimension of new cuspidal subspace: | 3 |
Newforms
This space contains the following newforms of dimension 1.
| label | weight | sign | base change | CM |
|---|---|---|---|---|
| 289.2-a | 2 | -1 | yes | no |
| 289.2-b | 2 | +1 | no | no |
| 289.2-c | 2 | +1 | no | no |