Defining parameters
Level: | \( N \) | = | \( 124 = 2^{2} \cdot 31 \) |
Weight: | \( k \) | = | \( 4 \) |
Nonzero newspaces: | \( 8 \) | ||
Newform subspaces: | \( 13 \) | ||
Sturm bound: | \(3840\) | ||
Trace bound: | \(1\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{4}(\Gamma_1(124))\).
Total | New | Old | |
---|---|---|---|
Modular forms | 1515 | 870 | 645 |
Cusp forms | 1365 | 810 | 555 |
Eisenstein series | 150 | 60 | 90 |
Trace form
Decomposition of \(S_{4}^{\mathrm{new}}(\Gamma_1(124))\)
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 \(S_{4}^{\mathrm{old}}(\Gamma_1(124))\) into lower level spaces
\( S_{4}^{\mathrm{old}}(\Gamma_1(124)) \cong \) \(S_{4}^{\mathrm{new}}(\Gamma_1(31))\)\(^{\oplus 3}\)\(\oplus\)\(S_{4}^{\mathrm{new}}(\Gamma_1(62))\)\(^{\oplus 2}\)