Defining parameters
Level: | \( N \) | = | \( 4 = 2^{2} \) |
Weight: | \( k \) | = | \( 17 \) |
Nonzero newspaces: | \( 1 \) | ||
Newform subspaces: | \( 2 \) | ||
Sturm bound: | \(17\) | ||
Trace bound: | \(0\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{17}(\Gamma_1(4))\).
Total | New | Old | |
---|---|---|---|
Modular forms | 9 | 9 | 0 |
Cusp forms | 7 | 7 | 0 |
Eisenstein series | 2 | 2 | 0 |
Trace form
Decomposition of \(S_{17}^{\mathrm{new}}(\Gamma_1(4))\)
We only show spaces with odd 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.
Label | \(\chi\) | Newforms | Dimension | \(\chi\) degree |
---|---|---|---|---|
4.17.b | \(\chi_{4}(3, \cdot)\) | 4.17.b.a | 1 | 1 |
4.17.b.b | 6 |