Base field \(\Q(\sqrt{-111}) \)
Generator \(a\), with minimal polynomial \(x^2 - x + 28\); class number \(8\).
Level 144.5
| Norm: | 144 |
| Ideal: | \((48) = \left(2, a + 1\right)^{4} \cdot \left(3, a + 1\right)^{2} \) |
| Label: | 144.5 |
Modular form spaces
| Weight | 2 |
|---|---|
| Dimension of cuspidal subspace: | 164 |
| Dimension of new cuspidal subspace: | 16 |
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 |
|---|---|---|---|---|
| 144.5-a | 2 | -1 | yes (twist) | no |
| 144.5-b | 2 | -1 | yes (twist) | no |
| 144.5-c | 2 | -1 | yes (twist) | no |
| 144.5-d | 2 | -1 | yes (twist) | no |