Defining parameters
Dimensions
The following table gives the dimensions of various subspaces of \(M_{1}(\Gamma_1(325))\).
|
Total |
New |
Old |
| Modular forms
| 344 |
234 |
110 |
| Cusp forms
| 8 |
8 |
0 |
| Eisenstein series
| 336 |
226 |
110 |
The following table gives the dimensions of subspaces with specified projective image type.
Decomposition of \(S_{1}^{\mathrm{new}}(\Gamma_1(325))\)
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 |
| 325.1.g |
\(\chi_{325}(99, \cdot)\) |
None |
0 |
2 |
| 325.1.h |
\(\chi_{325}(168, \cdot)\) |
None |
0 |
2 |
| 325.1.i |
\(\chi_{325}(118, \cdot)\) |
None |
0 |
2 |
| 325.1.j |
\(\chi_{325}(151, \cdot)\) |
None |
0 |
2 |
| 325.1.t |
\(\chi_{325}(76, \cdot)\) |
None |
0 |
4 |
| 325.1.u |
\(\chi_{325}(68, \cdot)\) |
325.1.u.a |
8 |
4 |
| 325.1.v |
\(\chi_{325}(43, \cdot)\) |
None |
0 |
4 |
| 325.1.w |
\(\chi_{325}(24, \cdot)\) |
None |
0 |
4 |
| 325.1.ba |
\(\chi_{325}(21, \cdot)\) |
None |
0 |
8 |
| 325.1.bb |
\(\chi_{325}(27, \cdot)\) |
None |
0 |
8 |
| 325.1.bc |
\(\chi_{325}(12, \cdot)\) |
None |
0 |
8 |
| 325.1.bd |
\(\chi_{325}(34, \cdot)\) |
None |
0 |
8 |
| 325.1.bj |
\(\chi_{325}(19, \cdot)\) |
None |
0 |
16 |
| 325.1.bk |
\(\chi_{325}(17, \cdot)\) |
None |
0 |
16 |
| 325.1.bl |
\(\chi_{325}(3, \cdot)\) |
None |
0 |
16 |
| 325.1.bm |
\(\chi_{325}(6, \cdot)\) |
None |
0 |
16 |
