Defining parameters
Level: | \( N \) | = | \( 5 \) |
Weight: | \( k \) | = | \( 33 \) |
Nonzero newspaces: | \( 1 \) | ||
Newform subspaces: | \( 1 \) | ||
Sturm bound: | \(66\) | ||
Trace bound: | \(0\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{33}(\Gamma_1(5))\).
Total | New | Old | |
---|---|---|---|
Modular forms | 34 | 34 | 0 |
Cusp forms | 30 | 30 | 0 |
Eisenstein series | 4 | 4 | 0 |
Trace form
Decomposition of \(S_{33}^{\mathrm{new}}(\Gamma_1(5))\)
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 |
---|---|---|---|---|
5.33.c | \(\chi_{5}(2, \cdot)\) | 5.33.c.a | 30 | 2 |