Defining parameters
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(\Gamma_1(6017))\).
|
Total |
New |
Old |
Modular forms
| 1501500 |
1476001 |
25499 |
Cusp forms
| 1490581 |
1466189 |
24392 |
Eisenstein series
| 10919 |
9812 |
1107 |
Decomposition of \(S_{2}^{\mathrm{new}}(\Gamma_1(6017))\)
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 |
6017.2.a |
\(\chi_{6017}(1, \cdot)\) |
6017.2.a.a |
1 |
1 |
6017.2.a.b |
1 |
6017.2.a.c |
106 |
6017.2.a.d |
107 |
6017.2.a.e |
119 |
6017.2.a.f |
121 |
6017.2.d |
\(\chi_{6017}(6016, \cdot)\) |
n/a |
546 |
1 |
6017.2.e |
\(\chi_{6017}(1134, \cdot)\) |
n/a |
912 |
2 |
6017.2.f |
\(\chi_{6017}(548, \cdot)\) |
n/a |
2184 |
4 |
6017.2.g |
\(\chi_{6017}(1682, \cdot)\) |
n/a |
1092 |
2 |
6017.2.j |
\(\chi_{6017}(628, \cdot)\) |
n/a |
2748 |
6 |
6017.2.k |
\(\chi_{6017}(546, \cdot)\) |
n/a |
2184 |
4 |
6017.2.n |
\(\chi_{6017}(353, \cdot)\) |
n/a |
5496 |
12 |
6017.2.o |
\(\chi_{6017}(538, \cdot)\) |
n/a |
3276 |
6 |
6017.2.r |
\(\chi_{6017}(587, \cdot)\) |
n/a |
4368 |
8 |
6017.2.s |
\(\chi_{6017}(716, \cdot)\) |
n/a |
5472 |
12 |
6017.2.t |
\(\chi_{6017}(197, \cdot)\) |
n/a |
6552 |
12 |
6017.2.y |
\(\chi_{6017}(41, \cdot)\) |
n/a |
4368 |
8 |
6017.2.z |
\(\chi_{6017}(9, \cdot)\) |
n/a |
13104 |
24 |
6017.2.ba |
\(\chi_{6017}(199, \cdot)\) |
n/a |
10944 |
24 |
6017.2.bd |
\(\chi_{6017}(120, \cdot)\) |
n/a |
6552 |
12 |
6017.2.be |
\(\chi_{6017}(350, \cdot)\) |
n/a |
26208 |
48 |
6017.2.bh |
\(\chi_{6017}(365, \cdot)\) |
n/a |
13104 |
24 |
6017.2.bk |
\(\chi_{6017}(692, \cdot)\) |
n/a |
13104 |
24 |
6017.2.bl |
\(\chi_{6017}(100, \cdot)\) |
n/a |
32976 |
72 |
6017.2.bm |
\(\chi_{6017}(14, \cdot)\) |
n/a |
26208 |
48 |
6017.2.bp |
\(\chi_{6017}(28, \cdot)\) |
n/a |
26208 |
48 |
6017.2.bs |
\(\chi_{6017}(65, \cdot)\) |
n/a |
39312 |
72 |
6017.2.bt |
\(\chi_{6017}(47, \cdot)\) |
n/a |
52416 |
96 |
6017.2.bu |
\(\chi_{6017}(39, \cdot)\) |
n/a |
26208 |
48 |
6017.2.bx |
\(\chi_{6017}(34, \cdot)\) |
n/a |
65664 |
144 |
6017.2.by |
\(\chi_{6017}(83, \cdot)\) |
n/a |
52416 |
96 |
6017.2.cb |
\(\chi_{6017}(64, \cdot)\) |
n/a |
157248 |
288 |
6017.2.cc |
\(\chi_{6017}(32, \cdot)\) |
n/a |
78624 |
144 |
6017.2.cf |
\(\chi_{6017}(8, \cdot)\) |
n/a |
157248 |
288 |
6017.2.ci |
\(\chi_{6017}(4, \cdot)\) |
n/a |
314496 |
576 |
6017.2.cl |
\(\chi_{6017}(2, \cdot)\) |
n/a |
314496 |
576 |
"n/a" means that newforms for that character have not been added to the database yet