Defining parameters
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(\Gamma_1(1064))\).
|
Total |
New |
Old |
Modular forms
| 35856 |
18866 |
16990 |
Cusp forms
| 33265 |
18186 |
15079 |
Eisenstein series
| 2591 |
680 |
1911 |
Decomposition of \(S_{2}^{\mathrm{new}}(\Gamma_1(1064))\)
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 |
1064.2.a |
\(\chi_{1064}(1, \cdot)\) |
1064.2.a.a |
2 |
1 |
1064.2.a.b |
2 |
1064.2.a.c |
2 |
1064.2.a.d |
2 |
1064.2.a.e |
2 |
1064.2.a.f |
3 |
1064.2.a.g |
4 |
1064.2.a.h |
4 |
1064.2.a.i |
5 |
1064.2.b |
\(\chi_{1064}(533, \cdot)\) |
n/a |
108 |
1 |
1064.2.e |
\(\chi_{1064}(379, \cdot)\) |
n/a |
120 |
1 |
1064.2.f |
\(\chi_{1064}(797, \cdot)\) |
n/a |
156 |
1 |
1064.2.i |
\(\chi_{1064}(419, \cdot)\) |
n/a |
144 |
1 |
1064.2.j |
\(\chi_{1064}(951, \cdot)\) |
None |
0 |
1 |
1064.2.m |
\(\chi_{1064}(265, \cdot)\) |
1064.2.m.a |
16 |
1 |
1064.2.m.b |
24 |
1064.2.n |
\(\chi_{1064}(911, \cdot)\) |
None |
0 |
1 |
1064.2.q |
\(\chi_{1064}(305, \cdot)\) |
1064.2.q.a |
2 |
2 |
1064.2.q.b |
2 |
1064.2.q.c |
2 |
1064.2.q.d |
2 |
1064.2.q.e |
2 |
1064.2.q.f |
2 |
1064.2.q.g |
2 |
1064.2.q.h |
2 |
1064.2.q.i |
2 |
1064.2.q.j |
2 |
1064.2.q.k |
4 |
1064.2.q.l |
4 |
1064.2.q.m |
6 |
1064.2.q.n |
16 |
1064.2.q.o |
22 |
1064.2.r |
\(\chi_{1064}(505, \cdot)\) |
1064.2.r.a |
2 |
2 |
1064.2.r.b |
2 |
1064.2.r.c |
2 |
1064.2.r.d |
2 |
1064.2.r.e |
2 |
1064.2.r.f |
4 |
1064.2.r.g |
8 |
1064.2.r.h |
8 |
1064.2.r.i |
14 |
1064.2.r.j |
16 |
1064.2.s |
\(\chi_{1064}(121, \cdot)\) |
1064.2.s.a |
2 |
2 |
1064.2.s.b |
2 |
1064.2.s.c |
4 |
1064.2.s.d |
32 |
1064.2.s.e |
40 |
1064.2.t |
\(\chi_{1064}(961, \cdot)\) |
1064.2.t.a |
2 |
2 |
1064.2.t.b |
2 |
1064.2.t.c |
4 |
1064.2.t.d |
32 |
1064.2.t.e |
40 |
1064.2.u |
\(\chi_{1064}(467, \cdot)\) |
n/a |
312 |
2 |
1064.2.x |
\(\chi_{1064}(829, \cdot)\) |
n/a |
312 |
2 |
1064.2.y |
\(\chi_{1064}(331, \cdot)\) |
n/a |
312 |
2 |
1064.2.bb |
\(\chi_{1064}(429, \cdot)\) |
n/a |
312 |
2 |
1064.2.bc |
\(\chi_{1064}(145, \cdot)\) |
1064.2.bc.a |
80 |
2 |
1064.2.bf |
\(\chi_{1064}(87, \cdot)\) |
None |
0 |
2 |
1064.2.bh |
\(\chi_{1064}(183, \cdot)\) |
None |
0 |
2 |
1064.2.bj |
\(\chi_{1064}(151, \cdot)\) |
None |
0 |
2 |
1064.2.bn |
\(\chi_{1064}(391, \cdot)\) |
None |
0 |
2 |
1064.2.bp |
\(\chi_{1064}(873, \cdot)\) |
1064.2.bp.a |
80 |
2 |
1064.2.bq |
\(\chi_{1064}(495, \cdot)\) |
None |
0 |
2 |
1064.2.bs |
\(\chi_{1064}(601, \cdot)\) |
1064.2.bs.a |
80 |
2 |
1064.2.bw |
\(\chi_{1064}(639, \cdot)\) |
None |
0 |
2 |
1064.2.bx |
\(\chi_{1064}(107, \cdot)\) |
n/a |
312 |
2 |
1064.2.ca |
\(\chi_{1064}(277, \cdot)\) |
n/a |
312 |
2 |
1064.2.cc |
\(\chi_{1064}(69, \cdot)\) |
n/a |
312 |
2 |
1064.2.ce |
\(\chi_{1064}(115, \cdot)\) |
n/a |
288 |
2 |
1064.2.cf |
\(\chi_{1064}(341, \cdot)\) |
n/a |
312 |
2 |
1064.2.ch |
\(\chi_{1064}(83, \cdot)\) |
n/a |
312 |
2 |
1064.2.ck |
\(\chi_{1064}(197, \cdot)\) |
n/a |
240 |
2 |
1064.2.cm |
\(\chi_{1064}(683, \cdot)\) |
n/a |
312 |
2 |
1064.2.cn |
\(\chi_{1064}(837, \cdot)\) |
n/a |
288 |
2 |
1064.2.cp |
\(\chi_{1064}(715, \cdot)\) |
n/a |
240 |
2 |
1064.2.cr |
\(\chi_{1064}(619, \cdot)\) |
n/a |
312 |
2 |
1064.2.cu |
\(\chi_{1064}(677, \cdot)\) |
n/a |
312 |
2 |
1064.2.cx |
\(\chi_{1064}(487, \cdot)\) |
None |
0 |
2 |
1064.2.cy |
\(\chi_{1064}(297, \cdot)\) |
1064.2.cy.a |
80 |
2 |
1064.2.db |
\(\chi_{1064}(311, \cdot)\) |
None |
0 |
2 |
1064.2.dc |
\(\chi_{1064}(169, \cdot)\) |
n/a |
180 |
6 |
1064.2.dd |
\(\chi_{1064}(9, \cdot)\) |
n/a |
240 |
6 |
1064.2.de |
\(\chi_{1064}(25, \cdot)\) |
n/a |
240 |
6 |
1064.2.df |
\(\chi_{1064}(199, \cdot)\) |
None |
0 |
6 |
1064.2.dg |
\(\chi_{1064}(79, \cdot)\) |
None |
0 |
6 |
1064.2.dj |
\(\chi_{1064}(117, \cdot)\) |
n/a |
936 |
6 |
1064.2.dk |
\(\chi_{1064}(93, \cdot)\) |
n/a |
936 |
6 |
1064.2.dp |
\(\chi_{1064}(41, \cdot)\) |
n/a |
240 |
6 |
1064.2.ds |
\(\chi_{1064}(89, \cdot)\) |
n/a |
240 |
6 |
1064.2.dv |
\(\chi_{1064}(139, \cdot)\) |
n/a |
936 |
6 |
1064.2.dw |
\(\chi_{1064}(155, \cdot)\) |
n/a |
720 |
6 |
1064.2.dz |
\(\chi_{1064}(51, \cdot)\) |
n/a |
936 |
6 |
1064.2.ea |
\(\chi_{1064}(283, \cdot)\) |
n/a |
936 |
6 |
1064.2.ed |
\(\chi_{1064}(15, \cdot)\) |
None |
0 |
6 |
1064.2.ee |
\(\chi_{1064}(55, \cdot)\) |
None |
0 |
6 |
1064.2.eh |
\(\chi_{1064}(47, \cdot)\) |
None |
0 |
6 |
1064.2.ei |
\(\chi_{1064}(375, \cdot)\) |
None |
0 |
6 |
1064.2.el |
\(\chi_{1064}(85, \cdot)\) |
n/a |
720 |
6 |
1064.2.em |
\(\chi_{1064}(13, \cdot)\) |
n/a |
936 |
6 |
1064.2.ep |
\(\chi_{1064}(269, \cdot)\) |
n/a |
936 |
6 |
1064.2.eq |
\(\chi_{1064}(541, \cdot)\) |
n/a |
936 |
6 |
1064.2.er |
\(\chi_{1064}(33, \cdot)\) |
n/a |
240 |
6 |
1064.2.eu |
\(\chi_{1064}(67, \cdot)\) |
n/a |
936 |
6 |
1064.2.ev |
\(\chi_{1064}(131, \cdot)\) |
n/a |
936 |
6 |
"n/a" means that newforms for that character have not been added to the database yet