Base field \(\Q(\sqrt{-7}) \)
Generator \(a\), with minimal polynomial \(x^{2} - x + 2\); class number \(1\).
Level 4900.2
| Norm: | 4900 |
| Ideal: | \((70) = \left(a\right) \cdot \left(-a + 1\right) \cdot \left(5\right) \cdot \left(-2 a + 1\right)^{2} \) |
| Label: | 4900.2 |
Modular form spaces
| Weight | 2 |
|---|---|
| Dimension of cuspidal subspace: | 81 |
| Dimension of new cuspidal subspace: | 13 |
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 |
|---|---|---|---|---|
| 4900.2-a | 2 | +1 | yes | no |
| 4900.2-b | 2 | +1 | yes | no |
| 4900.2-c | 2 | +1 | no | no |
| 4900.2-d | 2 | +1 | no | no |
| 4900.2-e | 2 | -1 | no | no |
| 4900.2-f | 2 | -1 | no | no |
| 4900.2-g | 2 | -1 | no | no |
| 4900.2-h | 2 | -1 | no | no |
| 4900.2-i | 2 | -1 | yes | no |
| 4900.2-j | 2 | +1 | yes | no |
| 4900.2-k | 2 | +1 | yes | no |