Base field \(\Q(\sqrt{-219}) \)
Generator \(a\), with minimal polynomial \(x^2 - x + 55\); class number \(4\).
Level 57.1
| Norm: | 57 |
| Ideal: | \((a + 1) = \left(3, a + 1\right) \cdot \left(19, a + 1\right) \) |
| Label: | 57.1 |
Modular form spaces
| Weight | 2 |
|---|---|
| Dimension of cuspidal subspace: | 46 |
| Dimension of new cuspidal subspace: | 2 |
Newforms
This space contains the following newforms of dimension 1.
| label | weight | sign | base change | CM |
|---|---|---|---|---|
| 57.1-a | 2 | -1 | no | no |
| 57.1-b | 2 | -1 | no | no |