Defining parameters
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(\Gamma_1(3626))\).
|
Total |
New |
Old |
Modular forms
| 406512 |
128459 |
278053 |
Cusp forms
| 397873 |
128459 |
269414 |
Eisenstein series
| 8639 |
0 |
8639 |
Decomposition of \(S_{2}^{\mathrm{new}}(\Gamma_1(3626))\)
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 |
3626.2.a |
\(\chi_{3626}(1, \cdot)\) |
3626.2.a.a |
2 |
1 |
3626.2.a.b |
2 |
3626.2.a.c |
2 |
3626.2.a.d |
2 |
3626.2.a.e |
2 |
3626.2.a.f |
2 |
3626.2.a.g |
2 |
3626.2.a.h |
2 |
3626.2.a.i |
2 |
3626.2.a.j |
2 |
3626.2.a.k |
2 |
3626.2.a.l |
2 |
3626.2.a.m |
2 |
3626.2.a.n |
2 |
3626.2.a.o |
2 |
3626.2.a.p |
2 |
3626.2.a.q |
2 |
3626.2.a.r |
2 |
3626.2.a.s |
2 |
3626.2.a.t |
2 |
3626.2.a.u |
2 |
3626.2.a.v |
3 |
3626.2.a.w |
3 |
3626.2.a.x |
4 |
3626.2.a.y |
4 |
3626.2.a.z |
4 |
3626.2.a.ba |
4 |
3626.2.a.bb |
4 |
3626.2.a.bc |
5 |
3626.2.a.bd |
6 |
3626.2.a.be |
6 |
3626.2.a.bf |
6 |
3626.2.a.bg |
8 |
3626.2.a.bh |
10 |
3626.2.a.bi |
14 |
3626.2.d |
\(\chi_{3626}(295, \cdot)\) |
n/a |
128 |
1 |
3626.2.e |
\(\chi_{3626}(667, \cdot)\) |
n/a |
240 |
2 |
3626.2.f |
\(\chi_{3626}(491, \cdot)\) |
n/a |
258 |
2 |
3626.2.g |
\(\chi_{3626}(655, \cdot)\) |
n/a |
256 |
2 |
3626.2.h |
\(\chi_{3626}(2431, \cdot)\) |
n/a |
256 |
2 |
3626.2.j |
\(\chi_{3626}(783, \cdot)\) |
n/a |
248 |
2 |
3626.2.m |
\(\chi_{3626}(471, \cdot)\) |
n/a |
256 |
2 |
3626.2.n |
\(\chi_{3626}(961, \cdot)\) |
n/a |
256 |
2 |
3626.2.o |
\(\chi_{3626}(2157, \cdot)\) |
n/a |
256 |
2 |
3626.2.v |
\(\chi_{3626}(2321, \cdot)\) |
n/a |
256 |
2 |
3626.2.w |
\(\chi_{3626}(519, \cdot)\) |
n/a |
1008 |
6 |
3626.2.x |
\(\chi_{3626}(275, \cdot)\) |
n/a |
756 |
6 |
3626.2.y |
\(\chi_{3626}(197, \cdot)\) |
n/a |
786 |
6 |
3626.2.z |
\(\chi_{3626}(1255, \cdot)\) |
n/a |
756 |
6 |
3626.2.bb |
\(\chi_{3626}(97, \cdot)\) |
n/a |
496 |
4 |
3626.2.bc |
\(\chi_{3626}(325, \cdot)\) |
n/a |
512 |
4 |
3626.2.bd |
\(\chi_{3626}(31, \cdot)\) |
n/a |
512 |
4 |
3626.2.bh |
\(\chi_{3626}(717, \cdot)\) |
n/a |
512 |
4 |
3626.2.bi |
\(\chi_{3626}(813, \cdot)\) |
n/a |
1080 |
6 |
3626.2.bn |
\(\chi_{3626}(99, \cdot)\) |
n/a |
780 |
6 |
3626.2.bo |
\(\chi_{3626}(67, \cdot)\) |
n/a |
756 |
6 |
3626.2.br |
\(\chi_{3626}(361, \cdot)\) |
n/a |
756 |
6 |
3626.2.bu |
\(\chi_{3626}(359, \cdot)\) |
n/a |
2112 |
12 |
3626.2.bv |
\(\chi_{3626}(121, \cdot)\) |
n/a |
2112 |
12 |
3626.2.bw |
\(\chi_{3626}(211, \cdot)\) |
n/a |
2160 |
12 |
3626.2.bx |
\(\chi_{3626}(149, \cdot)\) |
n/a |
2016 |
12 |
3626.2.by |
\(\chi_{3626}(265, \cdot)\) |
n/a |
2160 |
12 |
3626.2.ca |
\(\chi_{3626}(19, \cdot)\) |
n/a |
1512 |
12 |
3626.2.cc |
\(\chi_{3626}(129, \cdot)\) |
n/a |
1512 |
12 |
3626.2.cd |
\(\chi_{3626}(587, \cdot)\) |
n/a |
1536 |
12 |
3626.2.cg |
\(\chi_{3626}(233, \cdot)\) |
n/a |
2112 |
12 |
3626.2.cn |
\(\chi_{3626}(85, \cdot)\) |
n/a |
2160 |
12 |
3626.2.co |
\(\chi_{3626}(221, \cdot)\) |
n/a |
2112 |
12 |
3626.2.cp |
\(\chi_{3626}(11, \cdot)\) |
n/a |
2112 |
12 |
3626.2.cs |
\(\chi_{3626}(53, \cdot)\) |
n/a |
6408 |
36 |
3626.2.ct |
\(\chi_{3626}(9, \cdot)\) |
n/a |
6408 |
36 |
3626.2.cu |
\(\chi_{3626}(71, \cdot)\) |
n/a |
6336 |
36 |
3626.2.cv |
\(\chi_{3626}(103, \cdot)\) |
n/a |
4224 |
24 |
3626.2.cz |
\(\chi_{3626}(327, \cdot)\) |
n/a |
4224 |
24 |
3626.2.da |
\(\chi_{3626}(45, \cdot)\) |
n/a |
4224 |
24 |
3626.2.db |
\(\chi_{3626}(125, \cdot)\) |
n/a |
4320 |
24 |
3626.2.df |
\(\chi_{3626}(25, \cdot)\) |
n/a |
6408 |
36 |
3626.2.di |
\(\chi_{3626}(141, \cdot)\) |
n/a |
6336 |
36 |
3626.2.dj |
\(\chi_{3626}(65, \cdot)\) |
n/a |
6408 |
36 |
3626.2.do |
\(\chi_{3626}(13, \cdot)\) |
n/a |
12672 |
72 |
3626.2.dp |
\(\chi_{3626}(87, \cdot)\) |
n/a |
12816 |
72 |
3626.2.dr |
\(\chi_{3626}(5, \cdot)\) |
n/a |
12816 |
72 |
"n/a" means that newforms for that character have not been added to the database yet