Defining parameters
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(\Gamma_1(5746))\).
|
Total |
New |
Old |
| Modular forms
| 1029408 |
334344 |
695064 |
| Cusp forms
| 1014817 |
334344 |
680473 |
| Eisenstein series
| 14591 |
0 |
14591 |
Decomposition of \(S_{2}^{\mathrm{new}}(\Gamma_1(5746))\)
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 |
| 5746.2.a |
\(\chi_{5746}(1, \cdot)\) |
5746.2.a.a |
1 |
1 |
| 5746.2.a.b |
1 |
| 5746.2.a.c |
1 |
| 5746.2.a.d |
1 |
| 5746.2.a.e |
1 |
| 5746.2.a.f |
1 |
| 5746.2.a.g |
1 |
| 5746.2.a.h |
1 |
| 5746.2.a.i |
1 |
| 5746.2.a.j |
1 |
| 5746.2.a.k |
2 |
| 5746.2.a.l |
2 |
| 5746.2.a.m |
2 |
| 5746.2.a.n |
2 |
| 5746.2.a.o |
3 |
| 5746.2.a.p |
3 |
| 5746.2.a.q |
3 |
| 5746.2.a.r |
3 |
| 5746.2.a.s |
3 |
| 5746.2.a.t |
3 |
| 5746.2.a.u |
3 |
| 5746.2.a.v |
3 |
| 5746.2.a.w |
3 |
| 5746.2.a.x |
3 |
| 5746.2.a.y |
3 |
| 5746.2.a.z |
3 |
| 5746.2.a.ba |
3 |
| 5746.2.a.bb |
3 |
| 5746.2.a.bc |
3 |
| 5746.2.a.bd |
3 |
| 5746.2.a.be |
4 |
| 5746.2.a.bf |
4 |
| 5746.2.a.bg |
4 |
| 5746.2.a.bh |
4 |
| 5746.2.a.bi |
4 |
| 5746.2.a.bj |
4 |
| 5746.2.a.bk |
6 |
| 5746.2.a.bl |
6 |
| 5746.2.a.bm |
6 |
| 5746.2.a.bn |
6 |
| 5746.2.a.bo |
8 |
| 5746.2.a.bp |
8 |
| 5746.2.a.bq |
12 |
| 5746.2.a.br |
12 |
| 5746.2.a.bs |
12 |
| 5746.2.a.bt |
12 |
| 5746.2.a.bu |
15 |
| 5746.2.a.bv |
15 |
| 5746.2.b |
\(\chi_{5746}(339, \cdot)\) |
n/a |
232 |
1 |
| 5746.2.c |
\(\chi_{5746}(5745, \cdot)\) |
n/a |
232 |
1 |
| 5746.2.d |
\(\chi_{5746}(5407, \cdot)\) |
n/a |
208 |
1 |
| 5746.2.e |
\(\chi_{5746}(1667, \cdot)\) |
n/a |
408 |
2 |
| 5746.2.h |
\(\chi_{5746}(2367, \cdot)\) |
n/a |
464 |
2 |
| 5746.2.i |
\(\chi_{5746}(2027, \cdot)\) |
n/a |
464 |
2 |
| 5746.2.l |
\(\chi_{5746}(1837, \cdot)\) |
n/a |
408 |
2 |
| 5746.2.m |
\(\chi_{5746}(2005, \cdot)\) |
n/a |
460 |
2 |
| 5746.2.n |
\(\chi_{5746}(2175, \cdot)\) |
n/a |
464 |
2 |
| 5746.2.p |
\(\chi_{5746}(1691, \cdot)\) |
n/a |
932 |
4 |
| 5746.2.q |
\(\chi_{5746}(1351, \cdot)\) |
n/a |
920 |
4 |
| 5746.2.u |
\(\chi_{5746}(361, \cdot)\) |
n/a |
928 |
4 |
| 5746.2.v |
\(\chi_{5746}(191, \cdot)\) |
n/a |
920 |
4 |
| 5746.2.y |
\(\chi_{5746}(443, \cdot)\) |
n/a |
2880 |
12 |
| 5746.2.z |
\(\chi_{5746}(99, \cdot)\) |
n/a |
1848 |
8 |
| 5746.2.bc |
\(\chi_{5746}(775, \cdot)\) |
n/a |
1848 |
8 |
| 5746.2.be |
\(\chi_{5746}(315, \cdot)\) |
n/a |
1856 |
8 |
| 5746.2.bf |
\(\chi_{5746}(485, \cdot)\) |
n/a |
1840 |
8 |
| 5746.2.bh |
\(\chi_{5746}(103, \cdot)\) |
n/a |
2880 |
12 |
| 5746.2.bi |
\(\chi_{5746}(441, \cdot)\) |
n/a |
3264 |
12 |
| 5746.2.bj |
\(\chi_{5746}(781, \cdot)\) |
n/a |
3288 |
12 |
| 5746.2.bk |
\(\chi_{5746}(35, \cdot)\) |
n/a |
5856 |
24 |
| 5746.2.bl |
\(\chi_{5746}(249, \cdot)\) |
n/a |
3696 |
16 |
| 5746.2.bo |
\(\chi_{5746}(657, \cdot)\) |
n/a |
3696 |
16 |
| 5746.2.br |
\(\chi_{5746}(259, \cdot)\) |
n/a |
6528 |
24 |
| 5746.2.bs |
\(\chi_{5746}(157, \cdot)\) |
n/a |
6576 |
24 |
| 5746.2.bv |
\(\chi_{5746}(101, \cdot)\) |
n/a |
6528 |
24 |
| 5746.2.bw |
\(\chi_{5746}(237, \cdot)\) |
n/a |
6576 |
24 |
| 5746.2.bx |
\(\chi_{5746}(69, \cdot)\) |
n/a |
5856 |
24 |
| 5746.2.bz |
\(\chi_{5746}(25, \cdot)\) |
n/a |
13152 |
48 |
| 5746.2.ca |
\(\chi_{5746}(53, \cdot)\) |
n/a |
13056 |
48 |
| 5746.2.ce |
\(\chi_{5746}(55, \cdot)\) |
n/a |
13152 |
48 |
| 5746.2.cf |
\(\chi_{5746}(225, \cdot)\) |
n/a |
13056 |
48 |
| 5746.2.ci |
\(\chi_{5746}(5, \cdot)\) |
n/a |
26208 |
96 |
| 5746.2.cl |
\(\chi_{5746}(57, \cdot)\) |
n/a |
26208 |
96 |
| 5746.2.cn |
\(\chi_{5746}(43, \cdot)\) |
n/a |
26304 |
96 |
| 5746.2.co |
\(\chi_{5746}(9, \cdot)\) |
n/a |
26112 |
96 |
| 5746.2.cq |
\(\chi_{5746}(7, \cdot)\) |
n/a |
52416 |
192 |
| 5746.2.ct |
\(\chi_{5746}(37, \cdot)\) |
n/a |
52416 |
192 |
"n/a" means that newforms for that character have not been added to the database yet
