Base field \(\Q(\sqrt{-1}) \)
Generator \(i\), with minimal polynomial \(x^{2} + 1\); class number \(1\).
Level 45000.3
Norm: | 45000 |
Ideal: | \((150 i + 150) = \left(i + 1\right)^{3} \cdot \left(3\right) \cdot \left(-i - 2\right)^{2} \cdot \left(2 i + 1\right)^{2} \) |
Label: | 45000.3 |
Modular form spaces
Weight | 2 |
---|---|
Dimension of cuspidal subspace: | 243 |
Dimension of new cuspidal subspace: | 15 |
Newforms
This space contains the following newforms of dimension 1.
label | weight | sign | base change | CM |
---|---|---|---|---|
45000.3-a | 2 | -1 | no | no |
45000.3-b | 2 | -1 | no | no |
45000.3-c | 2 | -1 | no | no |
45000.3-d | 2 | -1 | no | no |
45000.3-e | 2 | -1 | yes | no |
45000.3-f | 2 | -1 | yes | no |
45000.3-g | 2 | +1 | yes | no |
45000.3-h | 2 | +1 | no | no |
45000.3-i | 2 | -1 | yes | no |
45000.3-j | 2 | +1 | no | no |
45000.3-k | 2 | -1 | yes | no |
45000.3-l | 2 | +1 | yes | no |
45000.3-m | 2 | -1 | yes | no |
45000.3-n | 2 | +1 | yes | no |
45000.3-o | 2 | +1 | yes | no |