Defining parameters
Dimensions
The following table gives the dimensions of various subspaces of \(M_{1}(\Gamma_1(287))\).
|
Total |
New |
Old |
| Modular forms
| 246 |
200 |
46 |
| Cusp forms
| 6 |
6 |
0 |
| Eisenstein series
| 240 |
194 |
46 |
The following table gives the dimensions of subspaces with specified projective image type.
Decomposition of \(S_{1}^{\mathrm{new}}(\Gamma_1(287))\)
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 |
| 287.1.b |
\(\chi_{287}(83, \cdot)\) |
None |
0 |
1 |
| 287.1.d |
\(\chi_{287}(286, \cdot)\) |
287.1.d.a |
3 |
1 |
| 287.1.d.b |
3 |
| 287.1.g |
\(\chi_{287}(132, \cdot)\) |
None |
0 |
2 |
| 287.1.i |
\(\chi_{287}(40, \cdot)\) |
None |
0 |
2 |
| 287.1.k |
\(\chi_{287}(124, \cdot)\) |
None |
0 |
2 |
| 287.1.m |
\(\chi_{287}(85, \cdot)\) |
None |
0 |
4 |
| 287.1.o |
\(\chi_{287}(139, \cdot)\) |
None |
0 |
4 |
| 287.1.p |
\(\chi_{287}(146, \cdot)\) |
None |
0 |
4 |
| 287.1.q |
\(\chi_{287}(73, \cdot)\) |
None |
0 |
4 |
| 287.1.t |
\(\chi_{287}(20, \cdot)\) |
None |
0 |
8 |
| 287.1.v |
\(\chi_{287}(44, \cdot)\) |
None |
0 |
8 |
| 287.1.x |
\(\chi_{287}(31, \cdot)\) |
None |
0 |
8 |
| 287.1.y |
\(\chi_{287}(10, \cdot)\) |
None |
0 |
8 |
| 287.1.ba |
\(\chi_{287}(15, \cdot)\) |
None |
0 |
16 |
| 287.1.bd |
\(\chi_{287}(5, \cdot)\) |
None |
0 |
16 |
| 287.1.bf |
\(\chi_{287}(11, \cdot)\) |
None |
0 |
32 |
