Base field \(\Q(\sqrt{-2}) \)
Generator \(a\), with minimal polynomial \(x^{2} + 2\); class number \(1\).
Level 51.1
| Norm: | 51 |
| Ideal: | \((a + 7) = \left(-a - 1\right) \cdot \left(-2 a + 3\right) \) |
| Label: | 51.1 |
Modular form spaces
| Weight | 2 |
|---|---|
| Dimension of cuspidal subspace: | 1 |
| Dimension of new cuspidal subspace: | 1 |
Newforms
This space contains the following newform of dimension 1.
| label | weight | sign | base change | CM |
|---|---|---|---|---|
| 51.1-a | 2 | -1 | no | no |