Defining parameters
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(\Gamma_1(2842))\).
|
Total |
New |
Old |
Modular forms
| 250320 |
78805 |
171515 |
Cusp forms
| 243601 |
78805 |
164796 |
Eisenstein series
| 6719 |
0 |
6719 |
Decomposition of \(S_{2}^{\mathrm{new}}(\Gamma_1(2842))\)
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 |
2842.2.a |
\(\chi_{2842}(1, \cdot)\) |
2842.2.a.a |
1 |
1 |
2842.2.a.b |
1 |
2842.2.a.c |
1 |
2842.2.a.d |
1 |
2842.2.a.e |
1 |
2842.2.a.f |
1 |
2842.2.a.g |
2 |
2842.2.a.h |
2 |
2842.2.a.i |
2 |
2842.2.a.j |
2 |
2842.2.a.k |
2 |
2842.2.a.l |
2 |
2842.2.a.m |
2 |
2842.2.a.n |
3 |
2842.2.a.o |
4 |
2842.2.a.p |
4 |
2842.2.a.q |
4 |
2842.2.a.r |
4 |
2842.2.a.s |
5 |
2842.2.a.t |
5 |
2842.2.a.u |
5 |
2842.2.a.v |
5 |
2842.2.a.w |
5 |
2842.2.a.x |
5 |
2842.2.a.y |
5 |
2842.2.a.z |
5 |
2842.2.a.ba |
6 |
2842.2.a.bb |
6 |
2842.2.a.bc |
6 |
2842.2.c |
\(\chi_{2842}(1275, \cdot)\) |
n/a |
102 |
1 |
2842.2.e |
\(\chi_{2842}(1451, \cdot)\) |
n/a |
184 |
2 |
2842.2.g |
\(\chi_{2842}(1665, \cdot)\) |
n/a |
200 |
2 |
2842.2.i |
\(\chi_{2842}(753, \cdot)\) |
n/a |
200 |
2 |
2842.2.k |
\(\chi_{2842}(1205, \cdot)\) |
n/a |
840 |
6 |
2842.2.l |
\(\chi_{2842}(575, \cdot)\) |
n/a |
840 |
6 |
2842.2.m |
\(\chi_{2842}(239, \cdot)\) |
n/a |
840 |
6 |
2842.2.n |
\(\chi_{2842}(407, \cdot)\) |
n/a |
768 |
6 |
2842.2.o |
\(\chi_{2842}(197, \cdot)\) |
n/a |
618 |
6 |
2842.2.p |
\(\chi_{2842}(1359, \cdot)\) |
n/a |
840 |
6 |
2842.2.q |
\(\chi_{2842}(1051, \cdot)\) |
n/a |
840 |
6 |
2842.2.r |
\(\chi_{2842}(141, \cdot)\) |
n/a |
840 |
6 |
2842.2.s |
\(\chi_{2842}(215, \cdot)\) |
n/a |
400 |
4 |
2842.2.u |
\(\chi_{2842}(477, \cdot)\) |
n/a |
840 |
6 |
2842.2.be |
\(\chi_{2842}(71, \cdot)\) |
n/a |
840 |
6 |
2842.2.bf |
\(\chi_{2842}(295, \cdot)\) |
n/a |
612 |
6 |
2842.2.bg |
\(\chi_{2842}(57, \cdot)\) |
n/a |
840 |
6 |
2842.2.bh |
\(\chi_{2842}(225, \cdot)\) |
n/a |
840 |
6 |
2842.2.bi |
\(\chi_{2842}(1695, \cdot)\) |
n/a |
840 |
6 |
2842.2.bj |
\(\chi_{2842}(183, \cdot)\) |
n/a |
840 |
6 |
2842.2.bq |
\(\chi_{2842}(323, \cdot)\) |
n/a |
840 |
6 |
2842.2.bs |
\(\chi_{2842}(53, \cdot)\) |
n/a |
1680 |
12 |
2842.2.bt |
\(\chi_{2842}(401, \cdot)\) |
n/a |
1680 |
12 |
2842.2.bu |
\(\chi_{2842}(165, \cdot)\) |
n/a |
1200 |
12 |
2842.2.bv |
\(\chi_{2842}(233, \cdot)\) |
n/a |
1584 |
12 |
2842.2.bw |
\(\chi_{2842}(23, \cdot)\) |
n/a |
1680 |
12 |
2842.2.bx |
\(\chi_{2842}(837, \cdot)\) |
n/a |
1680 |
12 |
2842.2.by |
\(\chi_{2842}(25, \cdot)\) |
n/a |
1680 |
12 |
2842.2.bz |
\(\chi_{2842}(123, \cdot)\) |
n/a |
1680 |
12 |
2842.2.cb |
\(\chi_{2842}(27, \cdot)\) |
n/a |
1680 |
12 |
2842.2.cc |
\(\chi_{2842}(461, \cdot)\) |
n/a |
1680 |
12 |
2842.2.cd |
\(\chi_{2842}(97, \cdot)\) |
n/a |
1200 |
12 |
2842.2.ce |
\(\chi_{2842}(41, \cdot)\) |
n/a |
1680 |
12 |
2842.2.cf |
\(\chi_{2842}(69, \cdot)\) |
n/a |
1680 |
12 |
2842.2.cg |
\(\chi_{2842}(503, \cdot)\) |
n/a |
1680 |
12 |
2842.2.ch |
\(\chi_{2842}(55, \cdot)\) |
n/a |
1680 |
12 |
2842.2.cp |
\(\chi_{2842}(153, \cdot)\) |
n/a |
1680 |
12 |
2842.2.cr |
\(\chi_{2842}(1173, \cdot)\) |
n/a |
1680 |
12 |
2842.2.cy |
\(\chi_{2842}(93, \cdot)\) |
n/a |
1680 |
12 |
2842.2.cz |
\(\chi_{2842}(151, \cdot)\) |
n/a |
1680 |
12 |
2842.2.da |
\(\chi_{2842}(51, \cdot)\) |
n/a |
1680 |
12 |
2842.2.db |
\(\chi_{2842}(499, \cdot)\) |
n/a |
1680 |
12 |
2842.2.dc |
\(\chi_{2842}(289, \cdot)\) |
n/a |
1680 |
12 |
2842.2.dd |
\(\chi_{2842}(67, \cdot)\) |
n/a |
1200 |
12 |
2842.2.dn |
\(\chi_{2842}(9, \cdot)\) |
n/a |
1680 |
12 |
2842.2.do |
\(\chi_{2842}(89, \cdot)\) |
n/a |
3360 |
24 |
2842.2.dw |
\(\chi_{2842}(229, \cdot)\) |
n/a |
3360 |
24 |
2842.2.dx |
\(\chi_{2842}(19, \cdot)\) |
n/a |
2400 |
24 |
2842.2.dy |
\(\chi_{2842}(101, \cdot)\) |
n/a |
3360 |
24 |
2842.2.dz |
\(\chi_{2842}(131, \cdot)\) |
n/a |
3360 |
24 |
2842.2.ea |
\(\chi_{2842}(17, \cdot)\) |
n/a |
3360 |
24 |
2842.2.eb |
\(\chi_{2842}(61, \cdot)\) |
n/a |
3360 |
24 |
2842.2.ec |
\(\chi_{2842}(3, \cdot)\) |
n/a |
3360 |
24 |
"n/a" means that newforms for that character have not been added to the database yet