Defining parameters
Level: | \( N \) | = | \( 29 \) |
Weight: | \( k \) | = | \( 9 \) |
Nonzero newspaces: | \( 2 \) | ||
Newform subspaces: | \( 2 \) | ||
Sturm bound: | \(630\) | ||
Trace bound: | \(1\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{9}(\Gamma_1(29))\).
Total | New | Old | |
---|---|---|---|
Modular forms | 294 | 294 | 0 |
Cusp forms | 266 | 266 | 0 |
Eisenstein series | 28 | 28 | 0 |
Trace form
Decomposition of \(S_{9}^{\mathrm{new}}(\Gamma_1(29))\)
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 available newforms together with their dimension.
Label | \(\chi\) | Newforms | Dimension | \(\chi\) degree |
---|---|---|---|---|
29.9.c | \(\chi_{29}(12, \cdot)\) | 29.9.c.a | 38 | 2 |
29.9.f | \(\chi_{29}(2, \cdot)\) | 29.9.f.a | 228 | 12 |