Defining parameters
Level: | \( N \) | = | \( 4023 = 3^{3} \cdot 149 \) |
Weight: | \( k \) | = | \( 2 \) |
Nonzero newspaces: | \( 18 \) | ||
Sturm bound: | \(2397600\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(\Gamma_1(4023))\).
Total | New | Old | |
---|---|---|---|
Modular forms | 603840 | 475910 | 127930 |
Cusp forms | 594961 | 471206 | 123755 |
Eisenstein series | 8879 | 4704 | 4175 |
Decomposition of \(S_{2}^{\mathrm{new}}(\Gamma_1(4023))\)
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 \(S_{2}^{\mathrm{old}}(\Gamma_1(4023))\) into lower level spaces
\( S_{2}^{\mathrm{old}}(\Gamma_1(4023)) \cong \) \(S_{2}^{\mathrm{new}}(\Gamma_1(27))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(149))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(447))\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(1341))\)\(^{\oplus 2}\)