Base field \(\Q(\sqrt{-7}) \)
Generator \(a\), with minimal polynomial \(x^{2} - x + 2\); class number \(1\).
Level 20000.5
| Norm: | 20000 |
| Ideal: | \((50 a - 150) = \left(a\right) \cdot \left(-a + 1\right)^{4} \cdot \left(5\right)^{2} \) |
| Label: | 20000.5 |
Modular form spaces
| Weight | 2 |
|---|---|
| Dimension of cuspidal subspace: | 63 |
| Dimension of new cuspidal subspace: | 17 |
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 |
|---|---|---|---|---|
| 20000.5-a | 2 | +1 | yes (twist) | no |
| 20000.5-b | 2 | +1 | yes (twist) | no |
| 20000.5-c | 2 | -1 | yes (twist) | no |
| 20000.5-d | 2 | -1 | yes (twist) | no |
| 20000.5-e | 2 | -1 | yes (twist) | no |