Defining parameters
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(\Gamma_1(5054))\).
|
Total |
New |
Old |
| Modular forms
| 785808 |
247710 |
538098 |
| Cusp forms
| 773713 |
247710 |
526003 |
| Eisenstein series
| 12095 |
0 |
12095 |
Decomposition of \(S_{2}^{\mathrm{new}}(\Gamma_1(5054))\)
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 the newforms together with their dimension.
| Label |
\(\chi\) |
Newforms |
Dimension |
\(\chi\) degree |
| 5054.2.a |
\(\chi_{5054}(1, \cdot)\) |
5054.2.a.a |
1 |
1 |
| 5054.2.a.b |
1 |
| 5054.2.a.c |
1 |
| 5054.2.a.d |
2 |
| 5054.2.a.e |
2 |
| 5054.2.a.f |
2 |
| 5054.2.a.g |
2 |
| 5054.2.a.h |
2 |
| 5054.2.a.i |
2 |
| 5054.2.a.j |
2 |
| 5054.2.a.k |
2 |
| 5054.2.a.l |
2 |
| 5054.2.a.m |
2 |
| 5054.2.a.n |
2 |
| 5054.2.a.o |
2 |
| 5054.2.a.p |
2 |
| 5054.2.a.q |
3 |
| 5054.2.a.r |
3 |
| 5054.2.a.s |
3 |
| 5054.2.a.t |
3 |
| 5054.2.a.u |
3 |
| 5054.2.a.v |
4 |
| 5054.2.a.w |
4 |
| 5054.2.a.x |
4 |
| 5054.2.a.y |
4 |
| 5054.2.a.z |
6 |
| 5054.2.a.ba |
6 |
| 5054.2.a.bb |
6 |
| 5054.2.a.bc |
6 |
| 5054.2.a.bd |
6 |
| 5054.2.a.be |
6 |
| 5054.2.a.bf |
8 |
| 5054.2.a.bg |
8 |
| 5054.2.a.bh |
8 |
| 5054.2.a.bi |
8 |
| 5054.2.a.bj |
9 |
| 5054.2.a.bk |
9 |
| 5054.2.a.bl |
12 |
| 5054.2.a.bm |
12 |
| 5054.2.d |
\(\chi_{5054}(5053, \cdot)\) |
n/a |
224 |
1 |
| 5054.2.e |
\(\chi_{5054}(723, \cdot)\) |
n/a |
456 |
2 |
| 5054.2.f |
\(\chi_{5054}(4761, \cdot)\) |
n/a |
340 |
2 |
| 5054.2.g |
\(\chi_{5054}(653, \cdot)\) |
n/a |
456 |
2 |
| 5054.2.h |
\(\chi_{5054}(429, \cdot)\) |
n/a |
456 |
2 |
| 5054.2.k |
\(\chi_{5054}(3181, \cdot)\) |
n/a |
456 |
2 |
| 5054.2.l |
\(\chi_{5054}(2887, \cdot)\) |
n/a |
456 |
2 |
| 5054.2.m |
\(\chi_{5054}(69, \cdot)\) |
n/a |
448 |
2 |
| 5054.2.t |
\(\chi_{5054}(2957, \cdot)\) |
n/a |
456 |
2 |
| 5054.2.u |
\(\chi_{5054}(99, \cdot)\) |
n/a |
1020 |
6 |
| 5054.2.v |
\(\chi_{5054}(821, \cdot)\) |
n/a |
1356 |
6 |
| 5054.2.w |
\(\chi_{5054}(389, \cdot)\) |
n/a |
1356 |
6 |
| 5054.2.x |
\(\chi_{5054}(307, \cdot)\) |
n/a |
1368 |
6 |
| 5054.2.y |
\(\chi_{5054}(1055, \cdot)\) |
n/a |
1356 |
6 |
| 5054.2.bd |
\(\chi_{5054}(299, \cdot)\) |
n/a |
1356 |
6 |
| 5054.2.bg |
\(\chi_{5054}(267, \cdot)\) |
n/a |
3420 |
18 |
| 5054.2.bh |
\(\chi_{5054}(265, \cdot)\) |
n/a |
4608 |
18 |
| 5054.2.bk |
\(\chi_{5054}(163, \cdot)\) |
n/a |
9072 |
36 |
| 5054.2.bl |
\(\chi_{5054}(11, \cdot)\) |
n/a |
9072 |
36 |
| 5054.2.bm |
\(\chi_{5054}(197, \cdot)\) |
n/a |
6840 |
36 |
| 5054.2.bn |
\(\chi_{5054}(39, \cdot)\) |
n/a |
9072 |
36 |
| 5054.2.bo |
\(\chi_{5054}(31, \cdot)\) |
n/a |
9072 |
36 |
| 5054.2.bv |
\(\chi_{5054}(27, \cdot)\) |
n/a |
9216 |
36 |
| 5054.2.bw |
\(\chi_{5054}(75, \cdot)\) |
n/a |
9072 |
36 |
| 5054.2.bx |
\(\chi_{5054}(145, \cdot)\) |
n/a |
9072 |
36 |
| 5054.2.ca |
\(\chi_{5054}(25, \cdot)\) |
n/a |
27432 |
108 |
| 5054.2.cb |
\(\chi_{5054}(9, \cdot)\) |
n/a |
27432 |
108 |
| 5054.2.cc |
\(\chi_{5054}(43, \cdot)\) |
n/a |
20520 |
108 |
| 5054.2.cf |
\(\chi_{5054}(33, \cdot)\) |
n/a |
27432 |
108 |
| 5054.2.ck |
\(\chi_{5054}(3, \cdot)\) |
n/a |
27432 |
108 |
| 5054.2.cl |
\(\chi_{5054}(13, \cdot)\) |
n/a |
27216 |
108 |
"n/a" means that newforms for that character have not been added to the database yet
