Defining parameters
Level: | \( N \) | = | \( 571 \) |
Weight: | \( k \) | = | \( 1 \) |
Nonzero newspaces: | \( 1 \) | ||
Newform subspaces: | \( 1 \) | ||
Sturm bound: | \(27170\) | ||
Trace bound: | \(0\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{1}(\Gamma_1(571))\).
Total | New | Old | |
---|---|---|---|
Modular forms | 287 | 287 | 0 |
Cusp forms | 2 | 2 | 0 |
Eisenstein series | 285 | 285 | 0 |
The following table gives the dimensions of subspaces with specified projective image type.
\(D_n\) | \(A_4\) | \(S_4\) | \(A_5\) | |
---|---|---|---|---|
Dimension | 2 | 0 | 0 | 0 |
Trace form
Decomposition of \(S_{1}^{\mathrm{new}}(\Gamma_1(571))\)
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 |
---|---|---|---|---|
571.1.b | \(\chi_{571}(570, \cdot)\) | 571.1.b.a | 2 | 1 |
571.1.e | \(\chi_{571}(110, \cdot)\) | None | 0 | 2 |
571.1.f | \(\chi_{571}(90, \cdot)\) | None | 0 | 4 |
571.1.i | \(\chi_{571}(69, \cdot)\) | None | 0 | 8 |
571.1.j | \(\chi_{571}(8, \cdot)\) | None | 0 | 18 |
571.1.m | \(\chi_{571}(2, \cdot)\) | None | 0 | 36 |
571.1.n | \(\chi_{571}(7, \cdot)\) | None | 0 | 72 |
571.1.p | \(\chi_{571}(3, \cdot)\) | None | 0 | 144 |