Defining parameters
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(\Gamma_1(1183))\).
|
Total |
New |
Old |
Modular forms
| 58152 |
54799 |
3353 |
Cusp forms
| 55417 |
52755 |
2662 |
Eisenstein series
| 2735 |
2044 |
691 |
Decomposition of \(S_{2}^{\mathrm{new}}(\Gamma_1(1183))\)
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 |
1183.2.a |
\(\chi_{1183}(1, \cdot)\) |
1183.2.a.a |
1 |
1 |
1183.2.a.b |
1 |
1183.2.a.c |
2 |
1183.2.a.d |
2 |
1183.2.a.e |
2 |
1183.2.a.f |
2 |
1183.2.a.g |
2 |
1183.2.a.h |
3 |
1183.2.a.i |
3 |
1183.2.a.j |
3 |
1183.2.a.k |
4 |
1183.2.a.l |
4 |
1183.2.a.m |
6 |
1183.2.a.n |
6 |
1183.2.a.o |
6 |
1183.2.a.p |
6 |
1183.2.a.q |
12 |
1183.2.a.r |
12 |
1183.2.c |
\(\chi_{1183}(337, \cdot)\) |
1183.2.c.a |
2 |
1 |
1183.2.c.b |
2 |
1183.2.c.c |
4 |
1183.2.c.d |
4 |
1183.2.c.e |
4 |
1183.2.c.f |
6 |
1183.2.c.g |
8 |
1183.2.c.h |
12 |
1183.2.c.i |
12 |
1183.2.c.j |
24 |
1183.2.e |
\(\chi_{1183}(170, \cdot)\) |
1183.2.e.a |
2 |
2 |
1183.2.e.b |
2 |
1183.2.e.c |
2 |
1183.2.e.d |
4 |
1183.2.e.e |
4 |
1183.2.e.f |
10 |
1183.2.e.g |
12 |
1183.2.e.h |
12 |
1183.2.e.i |
16 |
1183.2.e.j |
24 |
1183.2.e.k |
48 |
1183.2.e.l |
48 |
1183.2.f |
\(\chi_{1183}(22, \cdot)\) |
n/a |
152 |
2 |
1183.2.g |
\(\chi_{1183}(191, \cdot)\) |
n/a |
186 |
2 |
1183.2.h |
\(\chi_{1183}(529, \cdot)\) |
n/a |
186 |
2 |
1183.2.i |
\(\chi_{1183}(944, \cdot)\) |
n/a |
188 |
2 |
1183.2.k |
\(\chi_{1183}(23, \cdot)\) |
n/a |
186 |
2 |
1183.2.q |
\(\chi_{1183}(316, \cdot)\) |
n/a |
156 |
2 |
1183.2.r |
\(\chi_{1183}(506, \cdot)\) |
n/a |
184 |
2 |
1183.2.u |
\(\chi_{1183}(361, \cdot)\) |
n/a |
186 |
2 |
1183.2.w |
\(\chi_{1183}(19, \cdot)\) |
n/a |
372 |
4 |
1183.2.ba |
\(\chi_{1183}(89, \cdot)\) |
n/a |
372 |
4 |
1183.2.bb |
\(\chi_{1183}(437, \cdot)\) |
n/a |
368 |
4 |
1183.2.bc |
\(\chi_{1183}(188, \cdot)\) |
n/a |
368 |
4 |
1183.2.be |
\(\chi_{1183}(92, \cdot)\) |
n/a |
1104 |
12 |
1183.2.bg |
\(\chi_{1183}(64, \cdot)\) |
n/a |
1080 |
12 |
1183.2.bi |
\(\chi_{1183}(16, \cdot)\) |
n/a |
2856 |
24 |
1183.2.bj |
\(\chi_{1183}(9, \cdot)\) |
n/a |
2856 |
24 |
1183.2.bk |
\(\chi_{1183}(29, \cdot)\) |
n/a |
2208 |
24 |
1183.2.bl |
\(\chi_{1183}(53, \cdot)\) |
n/a |
2880 |
24 |
1183.2.bn |
\(\chi_{1183}(34, \cdot)\) |
n/a |
2832 |
24 |
1183.2.bp |
\(\chi_{1183}(30, \cdot)\) |
n/a |
2856 |
24 |
1183.2.bs |
\(\chi_{1183}(25, \cdot)\) |
n/a |
2880 |
24 |
1183.2.bt |
\(\chi_{1183}(36, \cdot)\) |
n/a |
2160 |
24 |
1183.2.bz |
\(\chi_{1183}(4, \cdot)\) |
n/a |
2856 |
24 |
1183.2.cb |
\(\chi_{1183}(6, \cdot)\) |
n/a |
5760 |
48 |
1183.2.cc |
\(\chi_{1183}(5, \cdot)\) |
n/a |
5760 |
48 |
1183.2.cd |
\(\chi_{1183}(45, \cdot)\) |
n/a |
5712 |
48 |
1183.2.ch |
\(\chi_{1183}(24, \cdot)\) |
n/a |
5712 |
48 |
"n/a" means that newforms for that character have not been added to the database yet