Defining parameters
Level: | \( N \) | = | \( 23 \) |
Weight: | \( k \) | = | \( 13 \) |
Nonzero newspaces: | \( 2 \) | ||
Newform subspaces: | \( 4 \) | ||
Sturm bound: | \(572\) | ||
Trace bound: | \(1\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{13}(\Gamma_1(23))\).
Total | New | Old | |
---|---|---|---|
Modular forms | 275 | 275 | 0 |
Cusp forms | 253 | 253 | 0 |
Eisenstein series | 22 | 22 | 0 |
Trace form
Decomposition of \(S_{13}^{\mathrm{new}}(\Gamma_1(23))\)
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 |
---|---|---|---|---|
23.13.b | \(\chi_{23}(22, \cdot)\) | 23.13.b.a | 1 | 1 |
23.13.b.b | 2 | |||
23.13.b.c | 20 | |||
23.13.d | \(\chi_{23}(5, \cdot)\) | 23.13.d.a | 230 | 10 |