Base field \(\Q(\sqrt{-31}) \)
Generator \(a\), with minimal polynomial \(x^2 - x + 8\); class number \(3\).
Level 729.1
| Norm: | 729 |
| Ideal: | \((27) = \left(3\right)^{3} \) |
| Label: | 729.1 |
Modular form spaces
| Weight | 2 |
|---|---|
| Dimension of cuspidal subspace: | 31 |
| Dimension of new cuspidal subspace: | 23 |
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 |
|---|---|---|---|---|
| 729.1-a | 2 | -1 | no | $-3$ |
| 729.1-b | 2 | +1 | yes | $-3$ |
| 729.1-c | 2 | -1 | no | $-3$ |