Defining parameters
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(\Gamma_1(2873))\).
|
Total |
New |
Old |
Modular forms
| 344352 |
337414 |
6938 |
Cusp forms
| 337057 |
331280 |
5777 |
Eisenstein series
| 7295 |
6134 |
1161 |
Decomposition of \(S_{2}^{\mathrm{new}}(\Gamma_1(2873))\)
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 |
2873.2.a |
\(\chi_{2873}(1, \cdot)\) |
2873.2.a.a |
1 |
1 |
2873.2.a.b |
1 |
2873.2.a.c |
1 |
2873.2.a.d |
2 |
2873.2.a.e |
2 |
2873.2.a.f |
2 |
2873.2.a.g |
2 |
2873.2.a.h |
2 |
2873.2.a.i |
2 |
2873.2.a.j |
2 |
2873.2.a.k |
3 |
2873.2.a.l |
4 |
2873.2.a.m |
6 |
2873.2.a.n |
6 |
2873.2.a.o |
6 |
2873.2.a.p |
7 |
2873.2.a.q |
7 |
2873.2.a.r |
10 |
2873.2.a.s |
11 |
2873.2.a.t |
11 |
2873.2.a.u |
12 |
2873.2.a.v |
18 |
2873.2.a.w |
18 |
2873.2.a.x |
22 |
2873.2.a.y |
24 |
2873.2.a.z |
24 |
2873.2.b |
\(\chi_{2873}(2872, \cdot)\) |
n/a |
220 |
1 |
2873.2.c |
\(\chi_{2873}(2534, \cdot)\) |
n/a |
204 |
1 |
2873.2.d |
\(\chi_{2873}(339, \cdot)\) |
n/a |
222 |
1 |
2873.2.e |
\(\chi_{2873}(698, \cdot)\) |
n/a |
412 |
2 |
2873.2.f |
\(\chi_{2873}(846, \cdot)\) |
n/a |
444 |
2 |
2873.2.k |
\(\chi_{2873}(506, \cdot)\) |
n/a |
440 |
2 |
2873.2.l |
\(\chi_{2873}(1036, \cdot)\) |
n/a |
444 |
2 |
2873.2.m |
\(\chi_{2873}(868, \cdot)\) |
n/a |
412 |
2 |
2873.2.n |
\(\chi_{2873}(1206, \cdot)\) |
n/a |
440 |
2 |
2873.2.p |
\(\chi_{2873}(168, \cdot)\) |
n/a |
888 |
4 |
2873.2.q |
\(\chi_{2873}(508, \cdot)\) |
n/a |
884 |
4 |
2873.2.s |
\(\chi_{2873}(361, \cdot)\) |
n/a |
880 |
4 |
2873.2.x |
\(\chi_{2873}(191, \cdot)\) |
n/a |
888 |
4 |
2873.2.y |
\(\chi_{2873}(222, \cdot)\) |
n/a |
2928 |
12 |
2873.2.ba |
\(\chi_{2873}(99, \cdot)\) |
n/a |
1768 |
8 |
2873.2.bb |
\(\chi_{2873}(606, \cdot)\) |
n/a |
1768 |
8 |
2873.2.be |
\(\chi_{2873}(485, \cdot)\) |
n/a |
1776 |
8 |
2873.2.bf |
\(\chi_{2873}(315, \cdot)\) |
n/a |
1760 |
8 |
2873.2.bh |
\(\chi_{2873}(118, \cdot)\) |
n/a |
3240 |
12 |
2873.2.bi |
\(\chi_{2873}(103, \cdot)\) |
n/a |
2928 |
12 |
2873.2.bj |
\(\chi_{2873}(220, \cdot)\) |
n/a |
3264 |
12 |
2873.2.bk |
\(\chi_{2873}(35, \cdot)\) |
n/a |
5808 |
24 |
2873.2.bm |
\(\chi_{2873}(150, \cdot)\) |
n/a |
3536 |
16 |
2873.2.bn |
\(\chi_{2873}(80, \cdot)\) |
n/a |
3536 |
16 |
2873.2.bp |
\(\chi_{2873}(38, \cdot)\) |
n/a |
6528 |
24 |
2873.2.bu |
\(\chi_{2873}(157, \cdot)\) |
n/a |
6480 |
24 |
2873.2.bv |
\(\chi_{2873}(101, \cdot)\) |
n/a |
6528 |
24 |
2873.2.bw |
\(\chi_{2873}(69, \cdot)\) |
n/a |
5808 |
24 |
2873.2.bx |
\(\chi_{2873}(16, \cdot)\) |
n/a |
6480 |
24 |
2873.2.bz |
\(\chi_{2873}(53, \cdot)\) |
n/a |
13056 |
48 |
2873.2.ca |
\(\chi_{2873}(25, \cdot)\) |
n/a |
12960 |
48 |
2873.2.cc |
\(\chi_{2873}(55, \cdot)\) |
n/a |
12960 |
48 |
2873.2.ch |
\(\chi_{2873}(4, \cdot)\) |
n/a |
13056 |
48 |
2873.2.cj |
\(\chi_{2873}(5, \cdot)\) |
n/a |
26016 |
96 |
2873.2.ck |
\(\chi_{2873}(44, \cdot)\) |
n/a |
26016 |
96 |
2873.2.cn |
\(\chi_{2873}(9, \cdot)\) |
n/a |
26112 |
96 |
2873.2.co |
\(\chi_{2873}(36, \cdot)\) |
n/a |
25920 |
96 |
2873.2.cr |
\(\chi_{2873}(7, \cdot)\) |
n/a |
52032 |
192 |
2873.2.cs |
\(\chi_{2873}(6, \cdot)\) |
n/a |
52032 |
192 |
"n/a" means that newforms for that character have not been added to the database yet