Defining parameters
Dimensions
The following table gives the dimensions of various subspaces of \(M_{1}(\Gamma_1(183))\).
|
Total |
New |
Old |
| Modular forms
| 131 |
69 |
62 |
| Cusp forms
| 11 |
11 |
0 |
| Eisenstein series
| 120 |
58 |
62 |
The following table gives the dimensions of subspaces with specified projective image type.
Decomposition of \(S_{1}^{\mathrm{new}}(\Gamma_1(183))\)
We only show spaces with odd parity, since no modular forms exist when this condition is not satisfied. Within each space \( S_k^{\mathrm{new}}(N, \chi) \) we list available newforms together with their dimension.
| Label |
\(\chi\) |
Newforms |
Dimension |
\(\chi\) degree |
| 183.1.b |
\(\chi_{183}(62, \cdot)\) |
None |
0 |
1 |
| 183.1.d |
\(\chi_{183}(182, \cdot)\) |
183.1.d.a |
1 |
1 |
| 183.1.d.b |
2 |
| 183.1.f |
\(\chi_{183}(133, \cdot)\) |
None |
0 |
2 |
| 183.1.i |
\(\chi_{183}(14, \cdot)\) |
None |
0 |
2 |
| 183.1.k |
\(\chi_{183}(47, \cdot)\) |
None |
0 |
2 |
| 183.1.l |
\(\chi_{183}(41, \cdot)\) |
183.1.l.a |
4 |
4 |
| 183.1.n |
\(\chi_{183}(20, \cdot)\) |
183.1.n.a |
4 |
4 |
| 183.1.p |
\(\chi_{183}(40, \cdot)\) |
None |
0 |
4 |
| 183.1.s |
\(\chi_{183}(28, \cdot)\) |
None |
0 |
8 |
| 183.1.t |
\(\chi_{183}(56, \cdot)\) |
None |
0 |
8 |
| 183.1.v |
\(\chi_{183}(5, \cdot)\) |
None |
0 |
8 |
| 183.1.w |
\(\chi_{183}(7, \cdot)\) |
None |
0 |
16 |
