Defining parameters
Dimensions
The following table gives the dimensions of various subspaces of \(M_{1}(\Gamma_1(203))\).
|
Total |
New |
Old |
| Modular forms
| 181 |
147 |
34 |
| Cusp forms
| 13 |
13 |
0 |
| Eisenstein series
| 168 |
134 |
34 |
The following table gives the dimensions of subspaces with specified projective image type.
Decomposition of \(S_{1}^{\mathrm{new}}(\Gamma_1(203))\)
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 |
| 203.1.c |
\(\chi_{203}(202, \cdot)\) |
203.1.c.a |
1 |
1 |
| 203.1.d |
\(\chi_{203}(146, \cdot)\) |
None |
0 |
1 |
| 203.1.f |
\(\chi_{203}(99, \cdot)\) |
None |
0 |
2 |
| 203.1.h |
\(\chi_{203}(59, \cdot)\) |
None |
0 |
2 |
| 203.1.i |
\(\chi_{203}(115, \cdot)\) |
None |
0 |
2 |
| 203.1.m |
\(\chi_{203}(46, \cdot)\) |
None |
0 |
4 |
| 203.1.n |
\(\chi_{203}(20, \cdot)\) |
203.1.n.a |
6 |
6 |
| 203.1.o |
\(\chi_{203}(6, \cdot)\) |
203.1.o.a |
6 |
6 |
| 203.1.s |
\(\chi_{203}(8, \cdot)\) |
None |
0 |
12 |
| 203.1.u |
\(\chi_{203}(5, \cdot)\) |
None |
0 |
12 |
| 203.1.v |
\(\chi_{203}(24, \cdot)\) |
None |
0 |
12 |
| 203.1.w |
\(\chi_{203}(2, \cdot)\) |
None |
0 |
24 |
