Defining parameters
Level: | \( N \) | = | \( 2011 \) |
Weight: | \( k \) | = | \( 1 \) |
Nonzero newspaces: | \( 1 \) | ||
Newform subspaces: | \( 1 \) | ||
Sturm bound: | \(337010\) | ||
Trace bound: | \(0\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{1}(\Gamma_1(2011))\).
Total | New | Old | |
---|---|---|---|
Modular forms | 1008 | 1008 | 0 |
Cusp forms | 3 | 3 | 0 |
Eisenstein series | 1005 | 1005 | 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 \(S_{1}^{\mathrm{new}}(\Gamma_1(2011))\)
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 |
---|---|---|---|---|
2011.1.b | \(\chi_{2011}(2010, \cdot)\) | 2011.1.b.a | 3 | 1 |
2011.1.e | \(\chi_{2011}(206, \cdot)\) | None | 0 | 2 |
2011.1.f | \(\chi_{2011}(53, \cdot)\) | None | 0 | 4 |
2011.1.h | \(\chi_{2011}(72, \cdot)\) | None | 0 | 8 |
2011.1.j | \(\chi_{2011}(8, \cdot)\) | None | 0 | 66 |
2011.1.m | \(\chi_{2011}(2, \cdot)\) | None | 0 | 132 |
2011.1.n | \(\chi_{2011}(10, \cdot)\) | None | 0 | 264 |
2011.1.p | \(\chi_{2011}(3, \cdot)\) | None | 0 | 528 |