Defining parameters
Level: | \( N \) | = | \( 2023 = 7 \cdot 17^{2} \) |
Weight: | \( k \) | = | \( 4 \) |
Nonzero newspaces: | \( 20 \) | ||
Sturm bound: | \(1331712\) | ||
Trace bound: | \(3\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{4}(\Gamma_1(2023))\).
Total | New | Old | |
---|---|---|---|
Modular forms | 501792 | 477119 | 24673 |
Cusp forms | 496992 | 473435 | 23557 |
Eisenstein series | 4800 | 3684 | 1116 |
Trace form
Decomposition of \(S_{4}^{\mathrm{new}}(\Gamma_1(2023))\)
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 \(S_{4}^{\mathrm{old}}(\Gamma_1(2023))\) into lower level spaces
\( S_{4}^{\mathrm{old}}(\Gamma_1(2023)) \cong \) \(S_{4}^{\mathrm{new}}(\Gamma_1(7))\)\(^{\oplus 3}\)\(\oplus\)\(S_{4}^{\mathrm{new}}(\Gamma_1(17))\)\(^{\oplus 4}\)\(\oplus\)\(S_{4}^{\mathrm{new}}(\Gamma_1(119))\)\(^{\oplus 2}\)\(\oplus\)\(S_{4}^{\mathrm{new}}(\Gamma_1(289))\)\(^{\oplus 2}\)