Base field \(\Q(\sqrt{-7}) \)
Generator \(a\), with minimal polynomial \(x^2 - x + 2\); class number \(1\).
Level 16384.9
| Norm: | 16384 |
| Ideal: | \((-64 a - 64) = \left(a\right)^{6} \cdot \left(-a + 1\right)^{8} \) |
| Label: | 16384.9 |
Modular form spaces
| Weight | 2 |
|---|---|
| Dimension of cuspidal subspace: | 373 |
| 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 |
|---|---|---|---|---|
| 16384.9-a | 2 | -1 | no | no |
| 16384.9-b | 2 | -1 | no | no |
| 16384.9-c | 2 | -1 | no | no |
| 16384.9-d | 2 | +1 | no | no |
| 16384.9-e | 2 | -1 | no | $-4$ |
| 16384.9-f | 2 | +1 | no | $-4$ |
| 16384.9-g | 2 | -1 | no | no |
| 16384.9-h | 2 | +1 | no | no |
| 16384.9-i | 2 | +1 | no | no |
| 16384.9-j | 2 | +1 | no | no |