Defining parameters
Level: | \( N \) | = | \( 6003 = 3^{2} \cdot 23 \cdot 29 \) |
Weight: | \( k \) | = | \( 2 \) |
Nonzero newspaces: | \( 48 \) | ||
Sturm bound: | \(5322240\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(\Gamma_1(6003))\).
Total | New | Old | |
---|---|---|---|
Modular forms | 1340416 | 1051976 | 288440 |
Cusp forms | 1320705 | 1041768 | 278937 |
Eisenstein series | 19711 | 10208 | 9503 |
Decomposition of \(S_{2}^{\mathrm{new}}(\Gamma_1(6003))\)
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 \(S_{2}^{\mathrm{old}}(\Gamma_1(6003))\) into lower level spaces
\( S_{2}^{\mathrm{old}}(\Gamma_1(6003)) \cong \) \(S_{2}^{\mathrm{new}}(\Gamma_1(23))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(29))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(69))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(87))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(207))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(261))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(667))\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(2001))\)\(^{\oplus 2}\)