Defining parameters
Level: | \( N \) | = | \( 1151 \) |
Weight: | \( k \) | = | \( 1 \) |
Nonzero newspaces: | \( 1 \) | ||
Newform subspaces: | \( 1 \) | ||
Sturm bound: | \(110400\) | ||
Trace bound: | \(0\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{1}(\Gamma_1(1151))\).
Total | New | Old | |
---|---|---|---|
Modular forms | 595 | 595 | 0 |
Cusp forms | 20 | 20 | 0 |
Eisenstein series | 575 | 575 | 0 |
The following table gives the dimensions of subspaces with specified projective image type.
\(D_n\) | \(A_4\) | \(S_4\) | \(A_5\) | |
---|---|---|---|---|
Dimension | 20 | 0 | 0 | 0 |
Trace form
Decomposition of \(S_{1}^{\mathrm{new}}(\Gamma_1(1151))\)
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 |
---|---|---|---|---|
1151.1.b | \(\chi_{1151}(1150, \cdot)\) | 1151.1.b.a | 20 | 1 |
1151.1.d | \(\chi_{1151}(91, \cdot)\) | None | 0 | 4 |
1151.1.g | \(\chi_{1151}(13, \cdot)\) | None | 0 | 22 |
1151.1.h | \(\chi_{1151}(92, \cdot)\) | None | 0 | 20 |
1151.1.j | \(\chi_{1151}(19, \cdot)\) | None | 0 | 88 |
1151.1.l | \(\chi_{1151}(17, \cdot)\) | None | 0 | 440 |