Defining parameters
Level: | \( N \) | = | \( 4527 = 3^{2} \cdot 503 \) |
Weight: | \( k \) | = | \( 2 \) |
Nonzero newspaces: | \( 8 \) | ||
Sturm bound: | \(3036096\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(\Gamma_1(4527))\).
Total | New | Old | |
---|---|---|---|
Modular forms | 763040 | 603143 | 159897 |
Cusp forms | 755009 | 598635 | 156374 |
Eisenstein series | 8031 | 4508 | 3523 |
Decomposition of \(S_{2}^{\mathrm{new}}(\Gamma_1(4527))\)
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 |
---|---|---|---|---|
4527.2.a | \(\chi_{4527}(1, \cdot)\) | 4527.2.a.a | 1 | 1 |
4527.2.a.b | 1 | |||
4527.2.a.c | 1 | |||
4527.2.a.d | 1 | |||
4527.2.a.e | 1 | |||
4527.2.a.f | 1 | |||
4527.2.a.g | 1 | |||
4527.2.a.h | 2 | |||
4527.2.a.i | 2 | |||
4527.2.a.j | 3 | |||
4527.2.a.k | 10 | |||
4527.2.a.l | 13 | |||
4527.2.a.m | 14 | |||
4527.2.a.n | 24 | |||
4527.2.a.o | 26 | |||
4527.2.a.p | 26 | |||
4527.2.a.q | 41 | |||
4527.2.a.r | 41 | |||
4527.2.c | \(\chi_{4527}(4526, \cdot)\) | n/a | 168 | 1 |
4527.2.e | \(\chi_{4527}(1510, \cdot)\) | n/a | 1004 | 2 |
4527.2.g | \(\chi_{4527}(1508, \cdot)\) | n/a | 1004 | 2 |
4527.2.i | \(\chi_{4527}(28, \cdot)\) | n/a | 52250 | 250 |
4527.2.k | \(\chi_{4527}(17, \cdot)\) | n/a | 42000 | 250 |
4527.2.m | \(\chi_{4527}(4, \cdot)\) | n/a | 251000 | 500 |
4527.2.o | \(\chi_{4527}(5, \cdot)\) | n/a | 251000 | 500 |
"n/a" means that newforms for that character have not been added to the database yet
Decomposition of \(S_{2}^{\mathrm{old}}(\Gamma_1(4527))\) into lower level spaces
\( S_{2}^{\mathrm{old}}(\Gamma_1(4527)) \cong \) \(S_{2}^{\mathrm{new}}(\Gamma_1(503))\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(1509))\)\(^{\oplus 2}\)