Defining parameters
Level: | \( N \) | = | \( 151 \) |
Weight: | \( k \) | = | \( 1 \) |
Nonzero newspaces: | \( 1 \) | ||
Newform subspaces: | \( 1 \) | ||
Sturm bound: | \(1900\) | ||
Trace bound: | \(0\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{1}(\Gamma_1(151))\).
Total | New | Old | |
---|---|---|---|
Modular forms | 78 | 78 | 0 |
Cusp forms | 3 | 3 | 0 |
Eisenstein series | 75 | 75 | 0 |
The following table gives the dimensions of subspaces with specified projective image type.
\(D_n\) | \(A_4\) | \(S_4\) | \(A_5\) | |
---|---|---|---|---|
Dimension | 3 | 0 | 0 | 0 |
Trace form
Decomposition of \(S_{1}^{\mathrm{new}}(\Gamma_1(151))\)
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 |
---|---|---|---|---|
151.1.b | \(\chi_{151}(150, \cdot)\) | 151.1.b.a | 3 | 1 |
151.1.e | \(\chi_{151}(33, \cdot)\) | None | 0 | 2 |
151.1.f | \(\chi_{151}(87, \cdot)\) | None | 0 | 4 |
151.1.i | \(\chi_{151}(23, \cdot)\) | None | 0 | 8 |
151.1.j | \(\chi_{151}(3, \cdot)\) | None | 0 | 20 |
151.1.l | \(\chi_{151}(6, \cdot)\) | None | 0 | 40 |