Defining parameters
Level: | \( N \) | = | \( 24 = 2^{3} \cdot 3 \) |
Weight: | \( k \) | = | \( 4 \) |
Nonzero newspaces: | \( 3 \) | ||
Newform subspaces: | \( 4 \) | ||
Sturm bound: | \(128\) | ||
Trace bound: | \(1\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{4}(\Gamma_1(24))\).
Total | New | Old | |
---|---|---|---|
Modular forms | 60 | 21 | 39 |
Cusp forms | 36 | 17 | 19 |
Eisenstein series | 24 | 4 | 20 |
Trace form
Decomposition of \(S_{4}^{\mathrm{new}}(\Gamma_1(24))\)
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.
Decomposition of \(S_{4}^{\mathrm{old}}(\Gamma_1(24))\) into lower level spaces
\( S_{4}^{\mathrm{old}}(\Gamma_1(24)) \cong \) \(S_{4}^{\mathrm{new}}(\Gamma_1(6))\)\(^{\oplus 3}\)\(\oplus\)\(S_{4}^{\mathrm{new}}(\Gamma_1(8))\)\(^{\oplus 2}\)\(\oplus\)\(S_{4}^{\mathrm{new}}(\Gamma_1(12))\)\(^{\oplus 2}\)