Base field \(\Q(\sqrt{-13}) \)
Generator \(a\), with minimal polynomial \(x^{2} + 13\); class number \(2\).
Level 52.1
| Norm: | 52 |
| Ideal: | \((2 a) = \left(2, a + 1\right)^{2} \cdot \left(a\right) \) |
| Label: | 52.1 |
Modular form spaces
| Weight | 2 |
|---|---|
| Dimension of cuspidal subspace: | 10 |
| Dimension of new cuspidal subspace: | 2 |
Newforms
This space contains the following newforms of dimension 1.
| label | weight | sign | base change | CM |
|---|---|---|---|---|
| 52.1-a | 2 | +1 | yes | no |
| 52.1-b | 2 | +1 | yes | no |