Base field \(\Q(\sqrt{-13}) \)
Generator \(a\), with minimal polynomial \(x^{2} + 13\); class number \(2\).
Level 242.1
| Norm: | 242 |
| Ideal: | \((242) = \left(2, a + 1\right) \cdot \left(11, a + 3\right)^{2} \) |
| Label: | 242.1 |
Modular form spaces
| Weight | 2 |
|---|---|
| Dimension of cuspidal subspace: | 2 |
| Dimension of new cuspidal subspace: | 2 |
Newforms
This space contains the following newforms of dimension 1.
| label | weight | sign | base change | CM |
|---|---|---|---|---|
| 242.1-a | 2 | +1 | no | no |
| 242.1-b | 2 | -1 | no | no |