Base field \(\Q(\sqrt{-7}) \)
Generator \(a\), with minimal polynomial \(x^{2} - x + 2\); class number \(1\).
Level 17500.2
| Norm: | 17500 |
| Ideal: | \((-100 a + 50) = \left(a\right) \cdot \left(-a + 1\right) \cdot \left(5\right)^{2} \cdot \left(-2 a + 1\right) \) |
| Label: | 17500.2 |
Modular form spaces
| Weight | 2 |
|---|---|
| Dimension of cuspidal subspace: | 97 |
| Dimension of new cuspidal subspace: | 12 |
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 |
|---|---|---|---|---|
| 17500.2-a | 2 | -1 | yes | no |
| 17500.2-b | 2 | +1 | yes | no |
| 17500.2-c | 2 | +1 | yes | no |
| 17500.2-d | 2 | +1 | no | no |
| 17500.2-e | 2 | +1 | no | no |
| 17500.2-f | 2 | -1 | yes | no |
| 17500.2-g | 2 | -1 | yes | no |
| 17500.2-h | 2 | +1 | yes | no |