Defining parameters
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(\Gamma_1(4923))\).
|
Total |
New |
Old |
Modular forms
| 901992 |
713066 |
188926 |
Cusp forms
| 893257 |
708162 |
185095 |
Eisenstein series
| 8735 |
4904 |
3831 |
Decomposition of \(S_{2}^{\mathrm{new}}(\Gamma_1(4923))\)
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 the newforms together with their dimension.
Label |
\(\chi\) |
Newforms |
Dimension |
\(\chi\) degree |
4923.2.a |
\(\chi_{4923}(1, \cdot)\) |
4923.2.a.a |
1 |
1 |
4923.2.a.b |
1 |
4923.2.a.c |
1 |
4923.2.a.d |
1 |
4923.2.a.e |
2 |
4923.2.a.f |
2 |
4923.2.a.g |
2 |
4923.2.a.h |
2 |
4923.2.a.i |
3 |
4923.2.a.j |
8 |
4923.2.a.k |
17 |
4923.2.a.l |
18 |
4923.2.a.m |
24 |
4923.2.a.n |
25 |
4923.2.a.o |
31 |
4923.2.a.p |
40 |
4923.2.a.q |
50 |
4923.2.d |
\(\chi_{4923}(4922, \cdot)\) |
n/a |
184 |
1 |
4923.2.e |
\(\chi_{4923}(3241, \cdot)\) |
n/a |
454 |
2 |
4923.2.f |
\(\chi_{4923}(1642, \cdot)\) |
n/a |
1092 |
2 |
4923.2.g |
\(\chi_{4923}(40, \cdot)\) |
n/a |
1092 |
2 |
4923.2.h |
\(\chi_{4923}(1681, \cdot)\) |
n/a |
1092 |
2 |
4923.2.k |
\(\chi_{4923}(1601, \cdot)\) |
n/a |
364 |
2 |
4923.2.l |
\(\chi_{4923}(1640, \cdot)\) |
n/a |
1092 |
2 |
4923.2.m |
\(\chi_{4923}(3323, \cdot)\) |
n/a |
1092 |
2 |
4923.2.t |
\(\chi_{4923}(41, \cdot)\) |
n/a |
1092 |
2 |
4923.2.u |
\(\chi_{4923}(1945, \cdot)\) |
n/a |
1368 |
6 |
4923.2.v |
\(\chi_{4923}(46, \cdot)\) |
n/a |
2736 |
12 |
4923.2.w |
\(\chi_{4923}(1097, \cdot)\) |
n/a |
1104 |
6 |
4923.2.z |
\(\chi_{4923}(13, \cdot)\) |
n/a |
6552 |
12 |
4923.2.ba |
\(\chi_{4923}(178, \cdot)\) |
n/a |
6552 |
12 |
4923.2.bb |
\(\chi_{4923}(304, \cdot)\) |
n/a |
6552 |
12 |
4923.2.bc |
\(\chi_{4923}(505, \cdot)\) |
n/a |
2724 |
12 |
4923.2.bd |
\(\chi_{4923}(107, \cdot)\) |
n/a |
2208 |
12 |
4923.2.bg |
\(\chi_{4923}(988, \cdot)\) |
n/a |
13104 |
24 |
4923.2.bh |
\(\chi_{4923}(475, \cdot)\) |
n/a |
13104 |
24 |
4923.2.bi |
\(\chi_{4923}(136, \cdot)\) |
n/a |
5448 |
24 |
4923.2.bj |
\(\chi_{4923}(121, \cdot)\) |
n/a |
13104 |
24 |
4923.2.bk |
\(\chi_{4923}(533, \cdot)\) |
n/a |
6552 |
12 |
4923.2.br |
\(\chi_{4923}(734, \cdot)\) |
n/a |
6552 |
12 |
4923.2.bs |
\(\chi_{4923}(365, \cdot)\) |
n/a |
6552 |
12 |
4923.2.bt |
\(\chi_{4923}(971, \cdot)\) |
n/a |
2184 |
12 |
4923.2.bw |
\(\chi_{4923}(59, \cdot)\) |
n/a |
13104 |
24 |
4923.2.cd |
\(\chi_{4923}(38, \cdot)\) |
n/a |
13104 |
24 |
4923.2.ce |
\(\chi_{4923}(26, \cdot)\) |
n/a |
4368 |
24 |
4923.2.cf |
\(\chi_{4923}(83, \cdot)\) |
n/a |
13104 |
24 |
4923.2.ci |
\(\chi_{4923}(10, \cdot)\) |
n/a |
16416 |
72 |
4923.2.cl |
\(\chi_{4923}(8, \cdot)\) |
n/a |
13248 |
72 |
4923.2.cm |
\(\chi_{4923}(4, \cdot)\) |
n/a |
78624 |
144 |
4923.2.cn |
\(\chi_{4923}(19, \cdot)\) |
n/a |
32688 |
144 |
4923.2.co |
\(\chi_{4923}(52, \cdot)\) |
n/a |
78624 |
144 |
4923.2.cp |
\(\chi_{4923}(34, \cdot)\) |
n/a |
78624 |
144 |
4923.2.cs |
\(\chi_{4923}(2, \cdot)\) |
n/a |
78624 |
144 |
4923.2.ct |
\(\chi_{4923}(17, \cdot)\) |
n/a |
26208 |
144 |
4923.2.cu |
\(\chi_{4923}(65, \cdot)\) |
n/a |
78624 |
144 |
4923.2.db |
\(\chi_{4923}(95, \cdot)\) |
n/a |
78624 |
144 |
"n/a" means that newforms for that character have not been added to the database yet