Defining parameters
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(\Gamma_1(1145))\).
|
Total |
New |
Old |
Modular forms
| 53352 |
48749 |
4603 |
Cusp forms
| 51529 |
47385 |
4144 |
Eisenstein series
| 1823 |
1364 |
459 |
Decomposition of \(S_{2}^{\mathrm{new}}(\Gamma_1(1145))\)
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 |
1145.2.a |
\(\chi_{1145}(1, \cdot)\) |
1145.2.a.a |
1 |
1 |
1145.2.a.b |
2 |
1145.2.a.c |
15 |
1145.2.a.d |
17 |
1145.2.a.e |
20 |
1145.2.a.f |
22 |
1145.2.b |
\(\chi_{1145}(459, \cdot)\) |
1145.2.b.a |
4 |
1 |
1145.2.b.b |
4 |
1145.2.b.c |
44 |
1145.2.b.d |
62 |
1145.2.c |
\(\chi_{1145}(686, \cdot)\) |
1145.2.c.a |
38 |
1 |
1145.2.c.b |
40 |
1145.2.d |
\(\chi_{1145}(1144, \cdot)\) |
n/a |
112 |
1 |
1145.2.e |
\(\chi_{1145}(781, \cdot)\) |
n/a |
152 |
2 |
1145.2.f |
\(\chi_{1145}(122, \cdot)\) |
n/a |
226 |
2 |
1145.2.k |
\(\chi_{1145}(107, \cdot)\) |
n/a |
226 |
2 |
1145.2.l |
\(\chi_{1145}(1011, \cdot)\) |
n/a |
152 |
2 |
1145.2.m |
\(\chi_{1145}(94, \cdot)\) |
n/a |
228 |
2 |
1145.2.n |
\(\chi_{1145}(324, \cdot)\) |
n/a |
224 |
2 |
1145.2.o |
\(\chi_{1145}(247, \cdot)\) |
n/a |
452 |
4 |
1145.2.t |
\(\chi_{1145}(18, \cdot)\) |
n/a |
452 |
4 |
1145.2.u |
\(\chi_{1145}(16, \cdot)\) |
n/a |
1404 |
18 |
1145.2.v |
\(\chi_{1145}(4, \cdot)\) |
n/a |
2016 |
18 |
1145.2.w |
\(\chi_{1145}(11, \cdot)\) |
n/a |
1404 |
18 |
1145.2.x |
\(\chi_{1145}(44, \cdot)\) |
n/a |
2052 |
18 |
1145.2.y |
\(\chi_{1145}(51, \cdot)\) |
n/a |
2736 |
36 |
1145.2.z |
\(\chi_{1145}(13, \cdot)\) |
n/a |
4068 |
36 |
1145.2.be |
\(\chi_{1145}(2, \cdot)\) |
n/a |
4068 |
36 |
1145.2.bf |
\(\chi_{1145}(49, \cdot)\) |
n/a |
4032 |
36 |
1145.2.bg |
\(\chi_{1145}(9, \cdot)\) |
n/a |
4104 |
36 |
1145.2.bh |
\(\chi_{1145}(36, \cdot)\) |
n/a |
2736 |
36 |
1145.2.bi |
\(\chi_{1145}(7, \cdot)\) |
n/a |
8136 |
72 |
1145.2.bn |
\(\chi_{1145}(63, \cdot)\) |
n/a |
8136 |
72 |
"n/a" means that newforms for that character have not been added to the database yet