Defining parameters
Level: | \( N \) | = | \( 2023 = 7 \cdot 17^{2} \) |
Weight: | \( k \) | = | \( 2 \) |
Nonzero newspaces: | \( 20 \) | ||
Sturm bound: | \(665856\) | ||
Trace bound: | \(3\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(\Gamma_1(2023))\).
Total | New | Old | |
---|---|---|---|
Modular forms | 168864 | 160269 | 8595 |
Cusp forms | 164065 | 156585 | 7480 |
Eisenstein series | 4799 | 3684 | 1115 |
Trace form
Decomposition of \(S_{2}^{\mathrm{new}}(\Gamma_1(2023))\)
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 \(S_{2}^{\mathrm{old}}(\Gamma_1(2023))\) into lower level spaces
\( S_{2}^{\mathrm{old}}(\Gamma_1(2023)) \cong \) \(S_{2}^{\mathrm{new}}(\Gamma_1(17))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(119))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(289))\)\(^{\oplus 2}\)