Defining parameters
Level: | \( N \) | = | \( 235 = 5 \cdot 47 \) |
Weight: | \( k \) | = | \( 4 \) |
Nonzero newspaces: | \( 6 \) | ||
Newform subspaces: | \( 10 \) | ||
Sturm bound: | \(17664\) | ||
Trace bound: | \(1\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{4}(\Gamma_1(235))\).
Total | New | Old | |
---|---|---|---|
Modular forms | 6808 | 6204 | 604 |
Cusp forms | 6440 | 5932 | 508 |
Eisenstein series | 368 | 272 | 96 |
Trace form
Decomposition of \(S_{4}^{\mathrm{new}}(\Gamma_1(235))\)
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 \(S_{4}^{\mathrm{old}}(\Gamma_1(235))\) into lower level spaces
\( S_{4}^{\mathrm{old}}(\Gamma_1(235)) \cong \) \(S_{4}^{\mathrm{new}}(\Gamma_1(5))\)\(^{\oplus 2}\)\(\oplus\)\(S_{4}^{\mathrm{new}}(\Gamma_1(47))\)\(^{\oplus 2}\)