Base field \(\Q(\sqrt{-21}) \)
Generator \(a\), with minimal polynomial \(x^{2} + 21\); class number \(4\).
Level 56.1
| Norm: | 56 |
| Ideal: | \((28) = \left(2, a + 1\right)^{3} \cdot \left(7, a\right) \) |
| Label: | 56.1 |
Modular form spaces
| Weight | 2 |
|---|---|
| Dimension of cuspidal subspace: | 36 |
| Dimension of new cuspidal subspace: | 8 |
Newforms
This space contains the following newforms of dimension 1.
| label | weight | sign | base change | CM |
|---|---|---|---|---|
| 56.1-a | 2 | -1 | yes | no |
| 56.1-b | 2 | +1 | yes | no |
| 56.1-c | 2 | +1 | yes | no |
| 56.1-d | 2 | +1 | yes | no |
| 56.1-e | 2 | -1 | yes | no |
| 56.1-f | 2 | -1 | yes | no |
| 56.1-g | 2 | -1 | yes | no |
| 56.1-h | 2 | +1 | yes | no |