Defining parameters
Dimensions
The following table gives the dimensions of various subspaces of \(M_{4}(\Gamma_0(2151))\).
|
Total |
New |
Old |
Modular forms
| 724 |
297 |
427 |
Cusp forms
| 716 |
297 |
419 |
Eisenstein series
| 8 |
0 |
8 |
The following table gives the dimensions of the cuspidal new subspaces with specified eigenvalues for the Atkin-Lehner operators and the Fricke involution.
Label |
Dim. |
\(A\) |
Field |
CM |
Traces |
|
A-L signs |
$q$-expansion |
\(a_2\) |
\(a_3\) |
\(a_5\) |
\(a_7\) |
3 |
239 |
2151.4.a.a |
\(22\) |
\(126.913\) |
|
None |
\(4\) |
\(0\) |
\(37\) |
\(-52\) |
|
\(-\) |
\(+\) |
|
2151.4.a.b |
\(28\) |
\(126.913\) |
|
None |
\(5\) |
\(0\) |
\(-6\) |
\(-68\) |
|
\(-\) |
\(+\) |
|
2151.4.a.c |
\(28\) |
\(126.913\) |
|
None |
\(13\) |
\(0\) |
\(74\) |
\(-82\) |
|
\(-\) |
\(-\) |
|
2151.4.a.d |
\(32\) |
\(126.913\) |
|
None |
\(-11\) |
\(0\) |
\(-66\) |
\(58\) |
|
\(-\) |
\(+\) |
|
2151.4.a.e |
\(32\) |
\(126.913\) |
|
None |
\(-3\) |
\(0\) |
\(14\) |
\(72\) |
|
\(-\) |
\(-\) |
|
2151.4.a.f |
\(37\) |
\(126.913\) |
|
None |
\(-4\) |
\(0\) |
\(-43\) |
\(60\) |
|
\(-\) |
\(-\) |
|
2151.4.a.g |
\(59\) |
\(126.913\) |
|
None |
\(-8\) |
\(0\) |
\(-80\) |
\(-10\) |
|
\(+\) |
\(-\) |
|
2151.4.a.h |
\(59\) |
\(126.913\) |
|
None |
\(8\) |
\(0\) |
\(80\) |
\(-10\) |
|
\(+\) |
\(+\) |
|