Base field \(\Q(\sqrt{-17}) \)
Generator \(a\), with minimal polynomial \(x^{2} + 17\); class number \(4\).
Level 42.2
| Norm: | 42 |
| Ideal: | \((42) = \left(2, a + 1\right) \cdot \left(3, a + 1\right) \cdot \left(7, a + 5\right) \) |
| Label: | 42.2 |
Modular form spaces
| Weight | 2 |
|---|---|
| Dimension of cuspidal subspace: | 18 |
| Dimension of new cuspidal subspace: | 2 |
Newforms
This space contains the following newforms of dimension 1.
| label | weight | sign | base change | CM |
|---|---|---|---|---|
| 42.2-a | 2 | -1 | no | no |
| 42.2-b | 2 | -1 | no | no |