Defining parameters
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(\Gamma_1(3025))\).
|
Total |
New |
Old |
Modular forms
| 367480 |
331938 |
35542 |
Cusp forms
| 358521 |
326177 |
32344 |
Eisenstein series
| 8959 |
5761 |
3198 |
Decomposition of \(S_{2}^{\mathrm{new}}(\Gamma_1(3025))\)
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 |
3025.2.a |
\(\chi_{3025}(1, \cdot)\) |
3025.2.a.a |
1 |
1 |
3025.2.a.b |
1 |
3025.2.a.c |
1 |
3025.2.a.d |
1 |
3025.2.a.e |
1 |
3025.2.a.f |
1 |
3025.2.a.g |
1 |
3025.2.a.h |
2 |
3025.2.a.i |
2 |
3025.2.a.j |
2 |
3025.2.a.k |
2 |
3025.2.a.l |
2 |
3025.2.a.m |
2 |
3025.2.a.n |
2 |
3025.2.a.o |
2 |
3025.2.a.p |
3 |
3025.2.a.q |
3 |
3025.2.a.r |
3 |
3025.2.a.s |
3 |
3025.2.a.t |
3 |
3025.2.a.u |
3 |
3025.2.a.v |
4 |
3025.2.a.w |
4 |
3025.2.a.x |
4 |
3025.2.a.y |
4 |
3025.2.a.z |
4 |
3025.2.a.ba |
4 |
3025.2.a.bb |
4 |
3025.2.a.bc |
4 |
3025.2.a.bd |
4 |
3025.2.a.be |
4 |
3025.2.a.bf |
6 |
3025.2.a.bg |
6 |
3025.2.a.bh |
6 |
3025.2.a.bi |
8 |
3025.2.a.bj |
8 |
3025.2.a.bk |
8 |
3025.2.a.bl |
8 |
3025.2.a.bm |
8 |
3025.2.a.bn |
8 |
3025.2.a.bo |
12 |
3025.2.b |
\(\chi_{3025}(1574, \cdot)\) |
n/a |
154 |
1 |
3025.2.e |
\(\chi_{3025}(1693, \cdot)\) |
n/a |
308 |
2 |
3025.2.g |
\(\chi_{3025}(1116, \cdot)\) |
n/a |
1048 |
4 |
3025.2.h |
\(\chi_{3025}(251, \cdot)\) |
n/a |
636 |
4 |
3025.2.i |
\(\chi_{3025}(606, \cdot)\) |
n/a |
1052 |
4 |
3025.2.j |
\(\chi_{3025}(81, \cdot)\) |
n/a |
1048 |
4 |
3025.2.k |
\(\chi_{3025}(1291, \cdot)\) |
n/a |
1048 |
4 |
3025.2.l |
\(\chi_{3025}(366, \cdot)\) |
n/a |
1048 |
4 |
3025.2.n |
\(\chi_{3025}(1219, \cdot)\) |
n/a |
1048 |
4 |
3025.2.t |
\(\chi_{3025}(269, \cdot)\) |
n/a |
1048 |
4 |
3025.2.y |
\(\chi_{3025}(364, \cdot)\) |
n/a |
1056 |
4 |
3025.2.z |
\(\chi_{3025}(124, \cdot)\) |
n/a |
616 |
4 |
3025.2.ba |
\(\chi_{3025}(614, \cdot)\) |
n/a |
1048 |
4 |
3025.2.bb |
\(\chi_{3025}(9, \cdot)\) |
n/a |
1048 |
4 |
3025.2.be |
\(\chi_{3025}(276, \cdot)\) |
n/a |
2060 |
10 |
3025.2.bg |
\(\chi_{3025}(233, \cdot)\) |
n/a |
2096 |
8 |
3025.2.bh |
\(\chi_{3025}(112, \cdot)\) |
n/a |
2096 |
8 |
3025.2.bm |
\(\chi_{3025}(602, \cdot)\) |
n/a |
2096 |
8 |
3025.2.bn |
\(\chi_{3025}(118, \cdot)\) |
n/a |
1232 |
8 |
3025.2.bo |
\(\chi_{3025}(403, \cdot)\) |
n/a |
2096 |
8 |
3025.2.bp |
\(\chi_{3025}(362, \cdot)\) |
n/a |
2096 |
8 |
3025.2.bs |
\(\chi_{3025}(199, \cdot)\) |
n/a |
1960 |
10 |
3025.2.bv |
\(\chi_{3025}(32, \cdot)\) |
n/a |
3920 |
20 |
3025.2.bw |
\(\chi_{3025}(31, \cdot)\) |
n/a |
13120 |
40 |
3025.2.bx |
\(\chi_{3025}(141, \cdot)\) |
n/a |
13120 |
40 |
3025.2.by |
\(\chi_{3025}(56, \cdot)\) |
n/a |
13120 |
40 |
3025.2.bz |
\(\chi_{3025}(26, \cdot)\) |
n/a |
8240 |
40 |
3025.2.ca |
\(\chi_{3025}(16, \cdot)\) |
n/a |
13120 |
40 |
3025.2.cb |
\(\chi_{3025}(36, \cdot)\) |
n/a |
13120 |
40 |
3025.2.cd |
\(\chi_{3025}(14, \cdot)\) |
n/a |
13120 |
40 |
3025.2.ci |
\(\chi_{3025}(169, \cdot)\) |
n/a |
13120 |
40 |
3025.2.cj |
\(\chi_{3025}(4, \cdot)\) |
n/a |
13120 |
40 |
3025.2.ck |
\(\chi_{3025}(49, \cdot)\) |
n/a |
7840 |
40 |
3025.2.cl |
\(\chi_{3025}(34, \cdot)\) |
n/a |
13120 |
40 |
3025.2.ct |
\(\chi_{3025}(104, \cdot)\) |
n/a |
13120 |
40 |
3025.2.cv |
\(\chi_{3025}(17, \cdot)\) |
n/a |
26240 |
80 |
3025.2.cw |
\(\chi_{3025}(87, \cdot)\) |
n/a |
26240 |
80 |
3025.2.cx |
\(\chi_{3025}(2, \cdot)\) |
n/a |
26240 |
80 |
3025.2.cy |
\(\chi_{3025}(7, \cdot)\) |
n/a |
15680 |
80 |
3025.2.dd |
\(\chi_{3025}(13, \cdot)\) |
n/a |
26240 |
80 |
3025.2.de |
\(\chi_{3025}(28, \cdot)\) |
n/a |
26240 |
80 |
"n/a" means that newforms for that character have not been added to the database yet