Base field \(\Q(\sqrt{-7}) \)
Generator \(a\), with minimal polynomial \(x^{2} - x + 2\); class number \(1\).
Level 3969.1
| Norm: | 3969 |
| Ideal: | \((63) = \left(3\right)^{2} \cdot \left(-2 a + 1\right)^{2} \) |
| Label: | 3969.1 |
Modular form spaces
| Weight | 2 |
|---|---|
| Dimension of cuspidal subspace: | 38 |
| 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 |
|---|---|---|---|---|
| 3969.1-a | 2 | -1 | yes | no |
| 3969.1-b | 2 | -1 | yes | $-3$ |