Base field \(\Q(\sqrt{-7}) \)
Generator \(a\), with minimal polynomial \(x^{2} - x + 2\); class number \(1\).
Level 10000.1
| Norm: | 10000 |
| Ideal: | \((-75 a + 50) = \left(a\right)^{4} \cdot \left(5\right)^{2} \) |
| Label: | 10000.1 |
Modular form spaces
| Weight | 2 |
|---|---|
| Dimension of cuspidal subspace: | 18 |
| Dimension of new cuspidal subspace: | 4 |
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 |
|---|---|---|---|---|
| 10000.1-a | 2 | +1 | yes (twist) | no |
| 10000.1-b | 2 | +1 | yes (twist) | $-35$ |