Defining parameters
Level: | \( N \) | = | \( 483 = 3 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | = | \( 2 \) |
Nonzero newspaces: | \( 16 \) | ||
Newform subspaces: | \( 43 \) | ||
Sturm bound: | \(33792\) | ||
Trace bound: | \(3\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(\Gamma_1(483))\).
Total | New | Old | |
---|---|---|---|
Modular forms | 8976 | 6259 | 2717 |
Cusp forms | 7921 | 5843 | 2078 |
Eisenstein series | 1055 | 416 | 639 |
Trace form
Decomposition of \(S_{2}^{\mathrm{new}}(\Gamma_1(483))\)
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 \(S_{2}^{\mathrm{old}}(\Gamma_1(483))\) into lower level spaces
\( S_{2}^{\mathrm{old}}(\Gamma_1(483)) \cong \) \(S_{2}^{\mathrm{new}}(\Gamma_1(21))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(23))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(69))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(161))\)\(^{\oplus 2}\)