Base field \(\Q(\sqrt{-57}) \)
Generator \(a\), with minimal polynomial \(x^2 + 57\); class number \(4\).
Level 81.1
| Norm: | 81 |
| Ideal: | \((9) = \left(3, a\right)^{4} \) |
| Label: | 81.1 |
Modular form spaces
| Weight | 2 |
|---|---|
| Dimension of cuspidal subspace: | 118 |
| Dimension of new cuspidal subspace: | 46 |
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 |
|---|---|---|---|---|
| 81.1-a | 2 | +1 | yes (twist) | no |
| 81.1-b | 2 | +1 | yes (twist) | no |
| 81.1-c | 2 | +1 | yes | $-3$ |
| 81.1-d | 2 | +1 | yes | $-3$ |
| 81.1-e | 2 | +1 | yes (twist) | no |
| 81.1-f | 2 | +1 | yes (twist) | no |