Defining parameters
Level: | \( N \) | = | \( 6024 = 2^{3} \cdot 3 \cdot 251 \) |
Weight: | \( k \) | = | \( 2 \) |
Nonzero newspaces: | \( 24 \) | ||
Sturm bound: | \(4032000\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(\Gamma_1(6024))\).
Total | New | Old | |
---|---|---|---|
Modular forms | 1014000 | 426232 | 587768 |
Cusp forms | 1002001 | 424240 | 577761 |
Eisenstein series | 11999 | 1992 | 10007 |
Decomposition of \(S_{2}^{\mathrm{new}}(\Gamma_1(6024))\)
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.
"n/a" means that newforms for that character have not been added to the database yet
Decomposition of \(S_{2}^{\mathrm{old}}(\Gamma_1(6024))\) into lower level spaces
\( S_{2}^{\mathrm{old}}(\Gamma_1(6024)) \cong \) \(S_{2}^{\mathrm{new}}(\Gamma_1(24))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(251))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(502))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(753))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(1004))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(1506))\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(2008))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(3012))\)\(^{\oplus 2}\)