Defining parameters
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(\Gamma_1(1110))\).
|
Total |
New |
Old |
Modular forms
| 33984 |
7509 |
26475 |
Cusp forms
| 31681 |
7509 |
24172 |
Eisenstein series
| 2303 |
0 |
2303 |
Decomposition of \(S_{2}^{\mathrm{new}}(\Gamma_1(1110))\)
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 available newforms together with their dimension.
Label |
\(\chi\) |
Newforms |
Dimension |
\(\chi\) degree |
1110.2.a |
\(\chi_{1110}(1, \cdot)\) |
1110.2.a.a |
1 |
1 |
1110.2.a.b |
1 |
1110.2.a.c |
1 |
1110.2.a.d |
1 |
1110.2.a.e |
1 |
1110.2.a.f |
1 |
1110.2.a.g |
1 |
1110.2.a.h |
1 |
1110.2.a.i |
1 |
1110.2.a.j |
1 |
1110.2.a.k |
1 |
1110.2.a.l |
1 |
1110.2.a.m |
1 |
1110.2.a.n |
1 |
1110.2.a.o |
1 |
1110.2.a.p |
2 |
1110.2.a.q |
2 |
1110.2.a.r |
2 |
1110.2.a.s |
4 |
1110.2.d |
\(\chi_{1110}(889, \cdot)\) |
1110.2.d.a |
2 |
1 |
1110.2.d.b |
2 |
1110.2.d.c |
2 |
1110.2.d.d |
2 |
1110.2.d.e |
2 |
1110.2.d.f |
4 |
1110.2.d.g |
4 |
1110.2.d.h |
4 |
1110.2.d.i |
6 |
1110.2.d.j |
8 |
1110.2.e |
\(\chi_{1110}(739, \cdot)\) |
1110.2.e.a |
2 |
1 |
1110.2.e.b |
2 |
1110.2.e.c |
16 |
1110.2.e.d |
16 |
1110.2.h |
\(\chi_{1110}(961, \cdot)\) |
1110.2.h.a |
2 |
1 |
1110.2.h.b |
2 |
1110.2.h.c |
2 |
1110.2.h.d |
4 |
1110.2.h.e |
4 |
1110.2.h.f |
6 |
1110.2.h.g |
8 |
1110.2.i |
\(\chi_{1110}(121, \cdot)\) |
1110.2.i.a |
2 |
2 |
1110.2.i.b |
2 |
1110.2.i.c |
2 |
1110.2.i.d |
2 |
1110.2.i.e |
2 |
1110.2.i.f |
2 |
1110.2.i.g |
2 |
1110.2.i.h |
2 |
1110.2.i.i |
4 |
1110.2.i.j |
4 |
1110.2.i.k |
4 |
1110.2.i.l |
4 |
1110.2.i.m |
4 |
1110.2.i.n |
4 |
1110.2.i.o |
6 |
1110.2.i.p |
10 |
1110.2.k |
\(\chi_{1110}(179, \cdot)\) |
n/a |
152 |
2 |
1110.2.l |
\(\chi_{1110}(43, \cdot)\) |
1110.2.l.a |
36 |
2 |
1110.2.l.b |
40 |
1110.2.m |
\(\chi_{1110}(593, \cdot)\) |
n/a |
144 |
2 |
1110.2.n |
\(\chi_{1110}(443, \cdot)\) |
n/a |
152 |
2 |
1110.2.o |
\(\chi_{1110}(253, \cdot)\) |
1110.2.o.a |
36 |
2 |
1110.2.o.b |
40 |
1110.2.u |
\(\chi_{1110}(191, \cdot)\) |
1110.2.u.a |
4 |
2 |
1110.2.u.b |
4 |
1110.2.u.c |
4 |
1110.2.u.d |
4 |
1110.2.u.e |
40 |
1110.2.u.f |
40 |
1110.2.x |
\(\chi_{1110}(751, \cdot)\) |
1110.2.x.a |
4 |
2 |
1110.2.x.b |
4 |
1110.2.x.c |
16 |
1110.2.x.d |
16 |
1110.2.x.e |
16 |
1110.2.ba |
\(\chi_{1110}(529, \cdot)\) |
1110.2.ba.a |
36 |
2 |
1110.2.ba.b |
36 |
1110.2.bb |
\(\chi_{1110}(1009, \cdot)\) |
1110.2.bb.a |
4 |
2 |
1110.2.bb.b |
4 |
1110.2.bb.c |
4 |
1110.2.bb.d |
28 |
1110.2.bb.e |
40 |
1110.2.bc |
\(\chi_{1110}(181, \cdot)\) |
n/a |
144 |
6 |
1110.2.be |
\(\chi_{1110}(251, \cdot)\) |
n/a |
192 |
4 |
1110.2.bf |
\(\chi_{1110}(97, \cdot)\) |
n/a |
152 |
4 |
1110.2.bg |
\(\chi_{1110}(233, \cdot)\) |
n/a |
304 |
4 |
1110.2.bh |
\(\chi_{1110}(47, \cdot)\) |
n/a |
304 |
4 |
1110.2.bi |
\(\chi_{1110}(193, \cdot)\) |
n/a |
152 |
4 |
1110.2.bo |
\(\chi_{1110}(29, \cdot)\) |
n/a |
304 |
4 |
1110.2.bp |
\(\chi_{1110}(139, \cdot)\) |
n/a |
216 |
6 |
1110.2.bq |
\(\chi_{1110}(49, \cdot)\) |
n/a |
240 |
6 |
1110.2.br |
\(\chi_{1110}(151, \cdot)\) |
n/a |
144 |
6 |
1110.2.by |
\(\chi_{1110}(59, \cdot)\) |
n/a |
912 |
12 |
1110.2.bz |
\(\chi_{1110}(131, \cdot)\) |
n/a |
624 |
12 |
1110.2.cc |
\(\chi_{1110}(163, \cdot)\) |
n/a |
456 |
12 |
1110.2.cd |
\(\chi_{1110}(53, \cdot)\) |
n/a |
912 |
12 |
1110.2.cg |
\(\chi_{1110}(77, \cdot)\) |
n/a |
912 |
12 |
1110.2.ch |
\(\chi_{1110}(13, \cdot)\) |
n/a |
456 |
12 |
"n/a" means that newforms for that character have not been added to the database yet