Base field \(\Q(\sqrt{-13}) \)
Generator \(a\), with minimal polynomial \(x^{2} + 13\); class number \(2\).
Level 144.1
| Norm: | 144 |
| Ideal: | \((12) = \left(2, a + 1\right)^{4} \cdot \left(3\right) \) |
| Label: | 144.1 |
Modular form spaces
| Weight | 2 |
|---|---|
| Dimension of cuspidal subspace: | 30 |
| Dimension of new cuspidal subspace: | 14 |
Newforms
This space contains the following newforms of dimension 1. Newforms of higher dimension are not yet in the database.
| label | weight | sign | base change | CM |
|---|---|---|---|---|
| 144.1-a | 2 | +1 | yes (twist) | no |
| 144.1-b | 2 | -1 | yes (twist) | no |
| 144.1-c | 2 | +1 | yes (twist) | no |
| 144.1-d | 2 | -1 | yes (twist) | no |
| 144.1-e | 2 | -1 | yes (twist) | no |
| 144.1-f | 2 | -1 | yes (twist) | no |
| 144.1-g | 2 | -1 | yes (twist) | no |
| 144.1-h | 2 | +1 | yes (twist) | no |
| 144.1-i | 2 | -1 | yes (twist) | no |
| 144.1-j | 2 | +1 | yes (twist) | no |