Defining parameters
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(\Gamma_1(1184))\).
|
Total |
New |
Old |
| Modular forms
| 44928 |
24938 |
19990 |
| Cusp forms
| 42625 |
24238 |
18387 |
| Eisenstein series
| 2303 |
700 |
1603 |
Decomposition of \(S_{2}^{\mathrm{new}}(\Gamma_1(1184))\)
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 |
| 1184.2.a |
\(\chi_{1184}(1, \cdot)\) |
1184.2.a.a |
1 |
1 |
| 1184.2.a.b |
1 |
| 1184.2.a.c |
1 |
| 1184.2.a.d |
1 |
| 1184.2.a.e |
1 |
| 1184.2.a.f |
1 |
| 1184.2.a.g |
1 |
| 1184.2.a.h |
1 |
| 1184.2.a.i |
2 |
| 1184.2.a.j |
2 |
| 1184.2.a.k |
2 |
| 1184.2.a.l |
3 |
| 1184.2.a.m |
3 |
| 1184.2.a.n |
4 |
| 1184.2.a.o |
4 |
| 1184.2.a.p |
8 |
| 1184.2.c |
\(\chi_{1184}(593, \cdot)\) |
1184.2.c.a |
4 |
1 |
| 1184.2.c.b |
4 |
| 1184.2.c.c |
28 |
| 1184.2.e |
\(\chi_{1184}(369, \cdot)\) |
1184.2.e.a |
36 |
1 |
| 1184.2.g |
\(\chi_{1184}(961, \cdot)\) |
1184.2.g.a |
2 |
1 |
| 1184.2.g.b |
2 |
| 1184.2.g.c |
2 |
| 1184.2.g.d |
4 |
| 1184.2.g.e |
6 |
| 1184.2.g.f |
6 |
| 1184.2.g.g |
8 |
| 1184.2.g.h |
8 |
| 1184.2.i |
\(\chi_{1184}(417, \cdot)\) |
1184.2.i.a |
2 |
2 |
| 1184.2.i.b |
2 |
| 1184.2.i.c |
4 |
| 1184.2.i.d |
4 |
| 1184.2.i.e |
6 |
| 1184.2.i.f |
6 |
| 1184.2.i.g |
8 |
| 1184.2.i.h |
8 |
| 1184.2.i.i |
18 |
| 1184.2.i.j |
18 |
| 1184.2.j |
\(\chi_{1184}(623, \cdot)\) |
1184.2.j.a |
8 |
2 |
| 1184.2.j.b |
64 |
| 1184.2.m |
\(\chi_{1184}(487, \cdot)\) |
None |
0 |
2 |
| 1184.2.n |
\(\chi_{1184}(73, \cdot)\) |
None |
0 |
2 |
| 1184.2.o |
\(\chi_{1184}(297, \cdot)\) |
None |
0 |
2 |
| 1184.2.s |
\(\chi_{1184}(327, \cdot)\) |
None |
0 |
2 |
| 1184.2.t |
\(\chi_{1184}(31, \cdot)\) |
1184.2.t.a |
4 |
2 |
| 1184.2.t.b |
4 |
| 1184.2.t.c |
6 |
| 1184.2.t.d |
6 |
| 1184.2.t.e |
14 |
| 1184.2.t.f |
14 |
| 1184.2.t.g |
14 |
| 1184.2.t.h |
14 |
| 1184.2.w |
\(\chi_{1184}(545, \cdot)\) |
1184.2.w.a |
4 |
2 |
| 1184.2.w.b |
4 |
| 1184.2.w.c |
32 |
| 1184.2.w.d |
36 |
| 1184.2.y |
\(\chi_{1184}(529, \cdot)\) |
1184.2.y.a |
72 |
2 |
| 1184.2.ba |
\(\chi_{1184}(433, \cdot)\) |
1184.2.ba.a |
72 |
2 |
| 1184.2.bc |
\(\chi_{1184}(149, \cdot)\) |
n/a |
576 |
4 |
| 1184.2.bf |
\(\chi_{1184}(43, \cdot)\) |
n/a |
600 |
4 |
| 1184.2.bh |
\(\chi_{1184}(339, \cdot)\) |
n/a |
600 |
4 |
| 1184.2.bj |
\(\chi_{1184}(221, \cdot)\) |
n/a |
600 |
4 |
| 1184.2.bk |
\(\chi_{1184}(33, \cdot)\) |
n/a |
228 |
6 |
| 1184.2.bm |
\(\chi_{1184}(319, \cdot)\) |
n/a |
152 |
4 |
| 1184.2.bn |
\(\chi_{1184}(23, \cdot)\) |
None |
0 |
4 |
| 1184.2.br |
\(\chi_{1184}(121, \cdot)\) |
None |
0 |
4 |
| 1184.2.bs |
\(\chi_{1184}(233, \cdot)\) |
None |
0 |
4 |
| 1184.2.bt |
\(\chi_{1184}(615, \cdot)\) |
None |
0 |
4 |
| 1184.2.bw |
\(\chi_{1184}(399, \cdot)\) |
n/a |
144 |
4 |
| 1184.2.by |
\(\chi_{1184}(65, \cdot)\) |
n/a |
228 |
6 |
| 1184.2.ca |
\(\chi_{1184}(49, \cdot)\) |
n/a |
216 |
6 |
| 1184.2.cd |
\(\chi_{1184}(337, \cdot)\) |
n/a |
216 |
6 |
| 1184.2.ce |
\(\chi_{1184}(85, \cdot)\) |
n/a |
1200 |
8 |
| 1184.2.ch |
\(\chi_{1184}(51, \cdot)\) |
n/a |
1200 |
8 |
| 1184.2.cj |
\(\chi_{1184}(251, \cdot)\) |
n/a |
1200 |
8 |
| 1184.2.cl |
\(\chi_{1184}(269, \cdot)\) |
n/a |
1200 |
8 |
| 1184.2.cn |
\(\chi_{1184}(351, \cdot)\) |
n/a |
456 |
12 |
| 1184.2.co |
\(\chi_{1184}(25, \cdot)\) |
None |
0 |
12 |
| 1184.2.cq |
\(\chi_{1184}(39, \cdot)\) |
None |
0 |
12 |
| 1184.2.ct |
\(\chi_{1184}(55, \cdot)\) |
None |
0 |
12 |
| 1184.2.cu |
\(\chi_{1184}(9, \cdot)\) |
None |
0 |
12 |
| 1184.2.cx |
\(\chi_{1184}(15, \cdot)\) |
n/a |
432 |
12 |
| 1184.2.cy |
\(\chi_{1184}(19, \cdot)\) |
n/a |
3600 |
24 |
| 1184.2.db |
\(\chi_{1184}(21, \cdot)\) |
n/a |
3600 |
24 |
| 1184.2.dd |
\(\chi_{1184}(53, \cdot)\) |
n/a |
3600 |
24 |
| 1184.2.de |
\(\chi_{1184}(59, \cdot)\) |
n/a |
3600 |
24 |
"n/a" means that newforms for that character have not been added to the database yet
