Defining parameters
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(\Gamma_1(1143))\).
|
Total |
New |
Old |
Modular forms
| 49392 |
38861 |
10531 |
Cusp forms
| 47377 |
37737 |
9640 |
Eisenstein series
| 2015 |
1124 |
891 |
Decomposition of \(S_{2}^{\mathrm{new}}(\Gamma_1(1143))\)
We only show spaces with even 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 |
1143.2.a |
\(\chi_{1143}(1, \cdot)\) |
1143.2.a.a |
1 |
1 |
1143.2.a.b |
1 |
1143.2.a.c |
1 |
1143.2.a.d |
1 |
1143.2.a.e |
3 |
1143.2.a.f |
4 |
1143.2.a.g |
5 |
1143.2.a.h |
5 |
1143.2.a.i |
7 |
1143.2.a.j |
9 |
1143.2.a.k |
16 |
1143.2.c |
\(\chi_{1143}(1142, \cdot)\) |
1143.2.c.a |
4 |
1 |
1143.2.c.b |
20 |
1143.2.c.c |
20 |
1143.2.e |
\(\chi_{1143}(382, \cdot)\) |
n/a |
252 |
2 |
1143.2.f |
\(\chi_{1143}(742, \cdot)\) |
n/a |
252 |
2 |
1143.2.g |
\(\chi_{1143}(400, \cdot)\) |
n/a |
252 |
2 |
1143.2.h |
\(\chi_{1143}(19, \cdot)\) |
n/a |
106 |
2 |
1143.2.j |
\(\chi_{1143}(782, \cdot)\) |
1143.2.j.a |
88 |
2 |
1143.2.n |
\(\chi_{1143}(20, \cdot)\) |
n/a |
252 |
2 |
1143.2.o |
\(\chi_{1143}(362, \cdot)\) |
n/a |
252 |
2 |
1143.2.p |
\(\chi_{1143}(380, \cdot)\) |
n/a |
252 |
2 |
1143.2.u |
\(\chi_{1143}(64, \cdot)\) |
n/a |
318 |
6 |
1143.2.v |
\(\chi_{1143}(22, \cdot)\) |
n/a |
756 |
6 |
1143.2.w |
\(\chi_{1143}(103, \cdot)\) |
n/a |
756 |
6 |
1143.2.x |
\(\chi_{1143}(37, \cdot)\) |
n/a |
312 |
6 |
1143.2.z |
\(\chi_{1143}(125, \cdot)\) |
n/a |
264 |
6 |
1143.2.bb |
\(\chi_{1143}(278, \cdot)\) |
n/a |
252 |
6 |
1143.2.bg |
\(\chi_{1143}(59, \cdot)\) |
n/a |
756 |
6 |
1143.2.bi |
\(\chi_{1143}(329, \cdot)\) |
n/a |
756 |
6 |
1143.2.bk |
\(\chi_{1143}(73, \cdot)\) |
n/a |
636 |
12 |
1143.2.bl |
\(\chi_{1143}(61, \cdot)\) |
n/a |
1512 |
12 |
1143.2.bm |
\(\chi_{1143}(25, \cdot)\) |
n/a |
1512 |
12 |
1143.2.bn |
\(\chi_{1143}(4, \cdot)\) |
n/a |
1512 |
12 |
1143.2.bs |
\(\chi_{1143}(95, \cdot)\) |
n/a |
1512 |
12 |
1143.2.bt |
\(\chi_{1143}(5, \cdot)\) |
n/a |
1512 |
12 |
1143.2.bu |
\(\chi_{1143}(77, \cdot)\) |
n/a |
1512 |
12 |
1143.2.by |
\(\chi_{1143}(80, \cdot)\) |
n/a |
528 |
12 |
1143.2.ca |
\(\chi_{1143}(82, \cdot)\) |
n/a |
1872 |
36 |
1143.2.cb |
\(\chi_{1143}(13, \cdot)\) |
n/a |
4536 |
36 |
1143.2.cc |
\(\chi_{1143}(49, \cdot)\) |
n/a |
4536 |
36 |
1143.2.ce |
\(\chi_{1143}(14, \cdot)\) |
n/a |
4536 |
36 |
1143.2.cg |
\(\chi_{1143}(56, \cdot)\) |
n/a |
4536 |
36 |
1143.2.cl |
\(\chi_{1143}(53, \cdot)\) |
n/a |
1512 |
36 |
"n/a" means that newforms for that character have not been added to the database yet