Base field \(\Q(\sqrt{-7}) \)
Generator \(a\), with minimal polynomial \(x^{2} - x + 2\); class number \(1\).
Level 1024.6
Norm: | 1024 |
Ideal: | \((32) = \left(a\right)^{5} \cdot \left(-a + 1\right)^{5} \) |
Label: | 1024.6 |
Modular form spaces
Weight | 2 |
---|---|
Dimension of cuspidal subspace: | 25 |
Dimension of new cuspidal subspace: | 3 |
Newforms
This space contains the following newforms of dimension 1.
label | weight | sign | base change | CM |
---|---|---|---|---|
1024.6-a | 2 | -1 | yes | $-4$ |
1024.6-b | 2 | +1 | yes (twist) | no |
1024.6-c | 2 | +1 | yes (twist) | no |