Defining parameters
Dimensions
The following table gives the dimensions of various subspaces of \(M_{3}(\Gamma_1(1143))\).
|
Total |
New |
Old |
Modular forms
| 97776 |
77163 |
20613 |
Cusp forms
| 95760 |
76037 |
19723 |
Eisenstein series
| 2016 |
1126 |
890 |
Decomposition of \(S_{3}^{\mathrm{new}}(\Gamma_1(1143))\)
We only show spaces with odd 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 |
1143.3.b |
\(\chi_{1143}(890, \cdot)\) |
1143.3.b.a |
84 |
1 |
1143.3.d |
\(\chi_{1143}(253, \cdot)\) |
n/a |
105 |
1 |
1143.3.i |
\(\chi_{1143}(107, \cdot)\) |
n/a |
168 |
2 |
1143.3.k |
\(\chi_{1143}(616, \cdot)\) |
n/a |
508 |
2 |
1143.3.l |
\(\chi_{1143}(634, \cdot)\) |
n/a |
508 |
2 |
1143.3.m |
\(\chi_{1143}(274, \cdot)\) |
n/a |
508 |
2 |
1143.3.q |
\(\chi_{1143}(146, \cdot)\) |
n/a |
508 |
2 |
1143.3.r |
\(\chi_{1143}(128, \cdot)\) |
n/a |
504 |
2 |
1143.3.s |
\(\chi_{1143}(488, \cdot)\) |
n/a |
508 |
2 |
1143.3.t |
\(\chi_{1143}(235, \cdot)\) |
n/a |
210 |
2 |
1143.3.y |
\(\chi_{1143}(190, \cdot)\) |
n/a |
630 |
6 |
1143.3.ba |
\(\chi_{1143}(8, \cdot)\) |
n/a |
504 |
6 |
1143.3.bc |
\(\chi_{1143}(179, \cdot)\) |
n/a |
516 |
6 |
1143.3.bd |
\(\chi_{1143}(202, \cdot)\) |
n/a |
1524 |
6 |
1143.3.be |
\(\chi_{1143}(151, \cdot)\) |
n/a |
1524 |
6 |
1143.3.bf |
\(\chi_{1143}(164, \cdot)\) |
n/a |
1524 |
6 |
1143.3.bh |
\(\chi_{1143}(68, \cdot)\) |
n/a |
1524 |
6 |
1143.3.bj |
\(\chi_{1143}(28, \cdot)\) |
n/a |
636 |
6 |
1143.3.bo |
\(\chi_{1143}(10, \cdot)\) |
n/a |
1260 |
12 |
1143.3.bp |
\(\chi_{1143}(47, \cdot)\) |
n/a |
3048 |
12 |
1143.3.bq |
\(\chi_{1143}(2, \cdot)\) |
n/a |
3048 |
12 |
1143.3.br |
\(\chi_{1143}(38, \cdot)\) |
n/a |
3048 |
12 |
1143.3.bv |
\(\chi_{1143}(40, \cdot)\) |
n/a |
3048 |
12 |
1143.3.bw |
\(\chi_{1143}(238, \cdot)\) |
n/a |
3048 |
12 |
1143.3.bx |
\(\chi_{1143}(160, \cdot)\) |
n/a |
3048 |
12 |
1143.3.bz |
\(\chi_{1143}(152, \cdot)\) |
n/a |
1008 |
12 |
1143.3.cd |
\(\chi_{1143}(46, \cdot)\) |
n/a |
3816 |
36 |
1143.3.cf |
\(\chi_{1143}(41, \cdot)\) |
n/a |
9144 |
36 |
1143.3.ch |
\(\chi_{1143}(11, \cdot)\) |
n/a |
9144 |
36 |
1143.3.ci |
\(\chi_{1143}(7, \cdot)\) |
n/a |
9144 |
36 |
1143.3.cj |
\(\chi_{1143}(43, \cdot)\) |
n/a |
9144 |
36 |
1143.3.ck |
\(\chi_{1143}(17, \cdot)\) |
n/a |
3096 |
36 |
"n/a" means that newforms for that character have not been added to the database yet