Defining parameters
Dimensions
The following table gives the dimensions of various subspaces of \(M_{1}(\Gamma_1(1183))\).
|
Total |
New |
Old |
| Modular forms
| 1428 |
1083 |
345 |
| Cusp forms
| 60 |
60 |
0 |
| Eisenstein series
| 1368 |
1023 |
345 |
The following table gives the dimensions of subspaces with specified projective image type.
Decomposition of \(S_{1}^{\mathrm{new}}(\Gamma_1(1183))\)
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 |
| 1183.1.b |
\(\chi_{1183}(1182, \cdot)\) |
1183.1.b.a |
6 |
1 |
| 1183.1.d |
\(\chi_{1183}(846, \cdot)\) |
1183.1.d.a |
3 |
1 |
| 1183.1.d.b |
3 |
| 1183.1.j |
\(\chi_{1183}(99, \cdot)\) |
None |
0 |
2 |
| 1183.1.l |
\(\chi_{1183}(530, \cdot)\) |
None |
0 |
2 |
| 1183.1.m |
\(\chi_{1183}(698, \cdot)\) |
None |
0 |
2 |
| 1183.1.n |
\(\chi_{1183}(146, \cdot)\) |
1183.1.n.a |
6 |
2 |
| 1183.1.n.b |
6 |
| 1183.1.o |
\(\chi_{1183}(339, \cdot)\) |
None |
0 |
2 |
| 1183.1.p |
\(\chi_{1183}(192, \cdot)\) |
None |
0 |
2 |
| 1183.1.s |
\(\chi_{1183}(675, \cdot)\) |
None |
0 |
2 |
| 1183.1.t |
\(\chi_{1183}(699, \cdot)\) |
1183.1.t.a |
12 |
2 |
| 1183.1.v |
\(\chi_{1183}(360, \cdot)\) |
None |
0 |
2 |
| 1183.1.x |
\(\chi_{1183}(319, \cdot)\) |
1183.1.x.a |
8 |
4 |
| 1183.1.y |
\(\chi_{1183}(526, \cdot)\) |
None |
0 |
4 |
| 1183.1.z |
\(\chi_{1183}(268, \cdot)\) |
1183.1.z.a |
8 |
4 |
| 1183.1.bd |
\(\chi_{1183}(249, \cdot)\) |
1183.1.bd.a |
8 |
4 |
| 1183.1.bf |
\(\chi_{1183}(27, \cdot)\) |
None |
0 |
12 |
| 1183.1.bh |
\(\chi_{1183}(90, \cdot)\) |
None |
0 |
12 |
| 1183.1.bm |
\(\chi_{1183}(8, \cdot)\) |
None |
0 |
24 |
| 1183.1.bo |
\(\chi_{1183}(68, \cdot)\) |
None |
0 |
24 |
| 1183.1.bq |
\(\chi_{1183}(62, \cdot)\) |
None |
0 |
24 |
| 1183.1.br |
\(\chi_{1183}(12, \cdot)\) |
None |
0 |
24 |
| 1183.1.bu |
\(\chi_{1183}(10, \cdot)\) |
None |
0 |
24 |
| 1183.1.bv |
\(\chi_{1183}(40, \cdot)\) |
None |
0 |
24 |
| 1183.1.bw |
\(\chi_{1183}(48, \cdot)\) |
None |
0 |
24 |
| 1183.1.bx |
\(\chi_{1183}(3, \cdot)\) |
None |
0 |
24 |
| 1183.1.by |
\(\chi_{1183}(17, \cdot)\) |
None |
0 |
24 |
| 1183.1.ca |
\(\chi_{1183}(11, \cdot)\) |
None |
0 |
48 |
| 1183.1.ce |
\(\chi_{1183}(18, \cdot)\) |
None |
0 |
48 |
| 1183.1.cf |
\(\chi_{1183}(15, \cdot)\) |
None |
0 |
48 |
| 1183.1.cg |
\(\chi_{1183}(2, \cdot)\) |
None |
0 |
48 |
