Base field \(\Q(\sqrt{-13}) \)
Generator \(a\), with minimal polynomial \(x^{2} + 13\); class number \(2\).
Level 64.1
| Norm: | 64 |
| Ideal: | \((8) = \left(2, a + 1\right)^{6} \) |
| Label: | 64.1 |
Modular form spaces
| Weight | 2 |
|---|---|
| Dimension of cuspidal subspace: | 23 |
| Dimension of new cuspidal subspace: | 5 |
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 |
|---|---|---|---|---|
| 64.1-a | 2 | +1 | yes (twist) | no |
| 64.1-b | 2 | -1 | yes | $-4$ |
| 64.1-c | 2 | +1 | yes (twist) | no |