Defining parameters
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(\Gamma_1(3283))\).
|
Total |
New |
Old |
Modular forms
| 443784 |
425024 |
18760 |
Cusp forms
| 435865 |
418720 |
17145 |
Eisenstein series
| 7919 |
6304 |
1615 |
Decomposition of \(S_{2}^{\mathrm{new}}(\Gamma_1(3283))\)
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 |
3283.2.a |
\(\chi_{3283}(1, \cdot)\) |
3283.2.a.a |
1 |
1 |
3283.2.a.b |
1 |
3283.2.a.c |
1 |
3283.2.a.d |
1 |
3283.2.a.e |
1 |
3283.2.a.f |
2 |
3283.2.a.g |
2 |
3283.2.a.h |
2 |
3283.2.a.i |
2 |
3283.2.a.j |
2 |
3283.2.a.k |
2 |
3283.2.a.l |
2 |
3283.2.a.m |
3 |
3283.2.a.n |
3 |
3283.2.a.o |
4 |
3283.2.a.p |
4 |
3283.2.a.q |
4 |
3283.2.a.r |
4 |
3283.2.a.s |
5 |
3283.2.a.t |
7 |
3283.2.a.u |
9 |
3283.2.a.v |
10 |
3283.2.a.w |
14 |
3283.2.a.x |
14 |
3283.2.a.y |
18 |
3283.2.a.z |
18 |
3283.2.a.ba |
20 |
3283.2.a.bb |
22 |
3283.2.a.bc |
22 |
3283.2.a.bd |
26 |
3283.2.c |
\(\chi_{3283}(3282, \cdot)\) |
n/a |
224 |
1 |
3283.2.e |
\(\chi_{3283}(1243, \cdot)\) |
n/a |
446 |
2 |
3283.2.f |
\(\chi_{3283}(1341, \cdot)\) |
n/a |
440 |
2 |
3283.2.g |
\(\chi_{3283}(2843, \cdot)\) |
n/a |
454 |
2 |
3283.2.h |
\(\chi_{3283}(900, \cdot)\) |
n/a |
446 |
2 |
3283.2.i |
\(\chi_{3283}(901, \cdot)\) |
n/a |
446 |
2 |
3283.2.o |
\(\chi_{3283}(803, \cdot)\) |
n/a |
444 |
2 |
3283.2.p |
\(\chi_{3283}(1244, \cdot)\) |
n/a |
446 |
2 |
3283.2.s |
\(\chi_{3283}(97, \cdot)\) |
n/a |
444 |
2 |
3283.2.u |
\(\chi_{3283}(470, \cdot)\) |
n/a |
1848 |
6 |
3283.2.v |
\(\chi_{3283}(148, \cdot)\) |
n/a |
2280 |
10 |
3283.2.x |
\(\chi_{3283}(468, \cdot)\) |
n/a |
1884 |
6 |
3283.2.z |
\(\chi_{3283}(37, \cdot)\) |
n/a |
3780 |
12 |
3283.2.ba |
\(\chi_{3283}(29, \cdot)\) |
n/a |
3792 |
12 |
3283.2.bb |
\(\chi_{3283}(135, \cdot)\) |
n/a |
3696 |
12 |
3283.2.bc |
\(\chi_{3283}(163, \cdot)\) |
n/a |
3780 |
12 |
3283.2.be |
\(\chi_{3283}(244, \cdot)\) |
n/a |
2240 |
10 |
3283.2.bg |
\(\chi_{3283}(361, \cdot)\) |
n/a |
4460 |
20 |
3283.2.bh |
\(\chi_{3283}(540, \cdot)\) |
n/a |
4540 |
20 |
3283.2.bi |
\(\chi_{3283}(226, \cdot)\) |
n/a |
4440 |
20 |
3283.2.bj |
\(\chi_{3283}(116, \cdot)\) |
n/a |
4460 |
20 |
3283.2.bl |
\(\chi_{3283}(566, \cdot)\) |
n/a |
3792 |
12 |
3283.2.bo |
\(\chi_{3283}(164, \cdot)\) |
n/a |
3780 |
12 |
3283.2.bp |
\(\chi_{3283}(66, \cdot)\) |
n/a |
3792 |
12 |
3283.2.bv |
\(\chi_{3283}(38, \cdot)\) |
n/a |
3780 |
12 |
3283.2.bx |
\(\chi_{3283}(48, \cdot)\) |
n/a |
4440 |
20 |
3283.2.ca |
\(\chi_{3283}(80, \cdot)\) |
n/a |
4460 |
20 |
3283.2.cb |
\(\chi_{3283}(276, \cdot)\) |
n/a |
4440 |
20 |
3283.2.ch |
\(\chi_{3283}(31, \cdot)\) |
n/a |
4460 |
20 |
3283.2.ci |
\(\chi_{3283}(15, \cdot)\) |
n/a |
18840 |
60 |
3283.2.ck |
\(\chi_{3283}(27, \cdot)\) |
n/a |
18840 |
60 |
3283.2.cm |
\(\chi_{3283}(39, \cdot)\) |
n/a |
37800 |
120 |
3283.2.cn |
\(\chi_{3283}(9, \cdot)\) |
n/a |
37920 |
120 |
3283.2.co |
\(\chi_{3283}(36, \cdot)\) |
n/a |
37920 |
120 |
3283.2.cp |
\(\chi_{3283}(4, \cdot)\) |
n/a |
37800 |
120 |
3283.2.cq |
\(\chi_{3283}(61, \cdot)\) |
n/a |
37800 |
120 |
3283.2.cw |
\(\chi_{3283}(3, \cdot)\) |
n/a |
37920 |
120 |
3283.2.cx |
\(\chi_{3283}(12, \cdot)\) |
n/a |
37800 |
120 |
3283.2.da |
\(\chi_{3283}(13, \cdot)\) |
n/a |
37920 |
120 |
"n/a" means that newforms for that character have not been added to the database yet