Defining parameters
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(\Gamma_1(5577))\).
|
Total |
New |
Old |
Modular forms
| 1144800 |
831362 |
313438 |
Cusp forms
| 1126561 |
823998 |
302563 |
Eisenstein series
| 18239 |
7364 |
10875 |
Decomposition of \(S_{2}^{\mathrm{new}}(\Gamma_1(5577))\)
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 |
5577.2.a |
\(\chi_{5577}(1, \cdot)\) |
5577.2.a.a |
1 |
1 |
5577.2.a.b |
1 |
5577.2.a.c |
1 |
5577.2.a.d |
1 |
5577.2.a.e |
1 |
5577.2.a.f |
1 |
5577.2.a.g |
1 |
5577.2.a.h |
2 |
5577.2.a.i |
2 |
5577.2.a.j |
3 |
5577.2.a.k |
3 |
5577.2.a.l |
3 |
5577.2.a.m |
4 |
5577.2.a.n |
5 |
5577.2.a.o |
5 |
5577.2.a.p |
5 |
5577.2.a.q |
5 |
5577.2.a.r |
5 |
5577.2.a.s |
5 |
5577.2.a.t |
5 |
5577.2.a.u |
5 |
5577.2.a.v |
5 |
5577.2.a.w |
5 |
5577.2.a.x |
7 |
5577.2.a.y |
7 |
5577.2.a.z |
12 |
5577.2.a.ba |
12 |
5577.2.a.bb |
12 |
5577.2.a.bc |
12 |
5577.2.a.bd |
12 |
5577.2.a.be |
12 |
5577.2.a.bf |
14 |
5577.2.a.bg |
14 |
5577.2.a.bh |
18 |
5577.2.a.bi |
18 |
5577.2.a.bj |
18 |
5577.2.a.bk |
18 |
5577.2.b |
\(\chi_{5577}(2872, \cdot)\) |
n/a |
256 |
1 |
5577.2.e |
\(\chi_{5577}(5576, \cdot)\) |
n/a |
596 |
1 |
5577.2.f |
\(\chi_{5577}(2705, \cdot)\) |
n/a |
598 |
1 |
5577.2.i |
\(\chi_{5577}(529, \cdot)\) |
n/a |
516 |
2 |
5577.2.j |
\(\chi_{5577}(2267, \cdot)\) |
n/a |
1024 |
2 |
5577.2.m |
\(\chi_{5577}(3112, \cdot)\) |
n/a |
616 |
2 |
5577.2.n |
\(\chi_{5577}(1015, \cdot)\) |
n/a |
1240 |
4 |
5577.2.p |
\(\chi_{5577}(3233, \cdot)\) |
n/a |
1192 |
2 |
5577.2.s |
\(\chi_{5577}(1882, \cdot)\) |
n/a |
508 |
2 |
5577.2.t |
\(\chi_{5577}(4586, \cdot)\) |
n/a |
1192 |
2 |
5577.2.x |
\(\chi_{5577}(677, \cdot)\) |
n/a |
2392 |
4 |
5577.2.y |
\(\chi_{5577}(1520, \cdot)\) |
n/a |
2384 |
4 |
5577.2.bb |
\(\chi_{5577}(1351, \cdot)\) |
n/a |
1232 |
4 |
5577.2.bd |
\(\chi_{5577}(934, \cdot)\) |
n/a |
1232 |
4 |
5577.2.be |
\(\chi_{5577}(89, \cdot)\) |
n/a |
2056 |
4 |
5577.2.bg |
\(\chi_{5577}(430, \cdot)\) |
n/a |
3600 |
12 |
5577.2.bh |
\(\chi_{5577}(1543, \cdot)\) |
n/a |
2464 |
8 |
5577.2.bj |
\(\chi_{5577}(746, \cdot)\) |
n/a |
4768 |
8 |
5577.2.bk |
\(\chi_{5577}(1084, \cdot)\) |
n/a |
2464 |
8 |
5577.2.bo |
\(\chi_{5577}(131, \cdot)\) |
n/a |
8688 |
12 |
5577.2.bp |
\(\chi_{5577}(428, \cdot)\) |
n/a |
8688 |
12 |
5577.2.bs |
\(\chi_{5577}(298, \cdot)\) |
n/a |
3648 |
12 |
5577.2.bu |
\(\chi_{5577}(530, \cdot)\) |
n/a |
4768 |
8 |
5577.2.bv |
\(\chi_{5577}(361, \cdot)\) |
n/a |
2464 |
8 |
5577.2.by |
\(\chi_{5577}(1205, \cdot)\) |
n/a |
4768 |
8 |
5577.2.ca |
\(\chi_{5577}(100, \cdot)\) |
n/a |
7248 |
24 |
5577.2.cb |
\(\chi_{5577}(109, \cdot)\) |
n/a |
8736 |
24 |
5577.2.ce |
\(\chi_{5577}(122, \cdot)\) |
n/a |
14592 |
24 |
5577.2.cf |
\(\chi_{5577}(19, \cdot)\) |
n/a |
4928 |
16 |
5577.2.ci |
\(\chi_{5577}(80, \cdot)\) |
n/a |
9536 |
16 |
5577.2.cj |
\(\chi_{5577}(157, \cdot)\) |
n/a |
17472 |
48 |
5577.2.cl |
\(\chi_{5577}(296, \cdot)\) |
n/a |
17376 |
24 |
5577.2.cm |
\(\chi_{5577}(166, \cdot)\) |
n/a |
7344 |
24 |
5577.2.cp |
\(\chi_{5577}(230, \cdot)\) |
n/a |
17376 |
24 |
5577.2.cr |
\(\chi_{5577}(25, \cdot)\) |
n/a |
17472 |
48 |
5577.2.cu |
\(\chi_{5577}(116, \cdot)\) |
n/a |
34752 |
48 |
5577.2.cv |
\(\chi_{5577}(248, \cdot)\) |
n/a |
34752 |
48 |
5577.2.cz |
\(\chi_{5577}(254, \cdot)\) |
n/a |
29088 |
48 |
5577.2.da |
\(\chi_{5577}(76, \cdot)\) |
n/a |
17472 |
48 |
5577.2.dc |
\(\chi_{5577}(16, \cdot)\) |
n/a |
34944 |
96 |
5577.2.de |
\(\chi_{5577}(73, \cdot)\) |
n/a |
34944 |
96 |
5577.2.df |
\(\chi_{5577}(5, \cdot)\) |
n/a |
69504 |
96 |
5577.2.di |
\(\chi_{5577}(29, \cdot)\) |
n/a |
69504 |
96 |
5577.2.dl |
\(\chi_{5577}(4, \cdot)\) |
n/a |
34944 |
96 |
5577.2.dm |
\(\chi_{5577}(17, \cdot)\) |
n/a |
69504 |
96 |
5577.2.do |
\(\chi_{5577}(20, \cdot)\) |
n/a |
139008 |
192 |
5577.2.dr |
\(\chi_{5577}(7, \cdot)\) |
n/a |
69888 |
192 |
"n/a" means that newforms for that character have not been added to the database yet