Base field \(\Q(\sqrt{-3}) \)
Generator \(a\), with minimal polynomial \(x^{2} - x + 1\); class number \(1\).
Level 78400.2
| Norm: | 78400 |
| Ideal: | \((280) = \left(2\right)^{3} \cdot \left(5\right) \cdot \left(-a - 2\right) \cdot \left(a - 3\right) \) |
| Label: | 78400.2 |
Modular form spaces
| Weight | 2 |
|---|---|
| Dimension of cuspidal subspace: | 81 |
| Dimension of new cuspidal subspace: | 10 |
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 |
|---|---|---|---|---|
| 78400.2-a | 2 | -1 | yes | no |
| 78400.2-b | 2 | +1 | no | no |
| 78400.2-c | 2 | +1 | no | no |
| 78400.2-d | 2 | -1 | yes | no |
| 78400.2-e | 2 | +1 | no | no |
| 78400.2-f | 2 | +1 | no | no |