Defining parameters
Dimensions
The following table gives the dimensions of various subspaces of \(M_{1}(\Gamma_1(143))\).
|
Total |
New |
Old |
| Modular forms
| 124 |
102 |
22 |
| Cusp forms
| 4 |
4 |
0 |
| Eisenstein series
| 120 |
98 |
22 |
The following table gives the dimensions of subspaces with specified projective image type.
Decomposition of \(S_{1}^{\mathrm{new}}(\Gamma_1(143))\)
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 |
| 143.1.c |
\(\chi_{143}(131, \cdot)\) |
None |
0 |
1 |
| 143.1.d |
\(\chi_{143}(142, \cdot)\) |
143.1.d.a |
2 |
1 |
| 143.1.d.b |
2 |
| 143.1.f |
\(\chi_{143}(34, \cdot)\) |
None |
0 |
2 |
| 143.1.i |
\(\chi_{143}(10, \cdot)\) |
None |
0 |
2 |
| 143.1.k |
\(\chi_{143}(87, \cdot)\) |
None |
0 |
2 |
| 143.1.l |
\(\chi_{143}(51, \cdot)\) |
None |
0 |
4 |
| 143.1.m |
\(\chi_{143}(40, \cdot)\) |
None |
0 |
4 |
| 143.1.p |
\(\chi_{143}(45, \cdot)\) |
None |
0 |
4 |
| 143.1.r |
\(\chi_{143}(5, \cdot)\) |
None |
0 |
8 |
| 143.1.t |
\(\chi_{143}(29, \cdot)\) |
None |
0 |
8 |
| 143.1.v |
\(\chi_{143}(17, \cdot)\) |
None |
0 |
8 |
| 143.1.x |
\(\chi_{143}(15, \cdot)\) |
None |
0 |
16 |
