Base field \(\Q(\sqrt{-31}) \)
Generator \(a\), with minimal polynomial \(x^{2} - x + 8\); class number \(3\).
Level 80.4
| Norm: | 80 |
| Ideal: | \((40) = \left(2, a\right)^{3} \cdot \left(2, a + 1\right) \cdot \left(5, a + 3\right) \) |
| Label: | 80.4 |
Modular form spaces
| Weight | 2 |
|---|---|
| Dimension of cuspidal subspace: | 12 |
| Dimension of new cuspidal subspace: | 2 |
Newforms
This space contains the following newforms of dimension 1.
| label | weight | sign | base change | CM |
|---|---|---|---|---|
| 80.4-a | 2 | -1 | no | no |
| 80.4-b | 2 | +1 | no | no |