Defining parameters
Level: | \( N \) | = | \( 197 \) |
Weight: | \( k \) | = | \( 4 \) |
Nonzero newspaces: | \( 6 \) | ||
Newform subspaces: | \( 7 \) | ||
Sturm bound: | \(12936\) | ||
Trace bound: | \(1\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{4}(\Gamma_1(197))\).
Total | New | Old | |
---|---|---|---|
Modular forms | 4949 | 4947 | 2 |
Cusp forms | 4753 | 4753 | 0 |
Eisenstein series | 196 | 194 | 2 |
Trace form
Decomposition of \(S_{4}^{\mathrm{new}}(\Gamma_1(197))\)
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.