Defining parameters
| Level: | \( N \) | = | \( 42 = 2 \cdot 3 \cdot 7 \) |
| Weight: | \( k \) | = | \( 1 \) |
| Nonzero newspaces: | \( 0 \) | ||
| Newform subspaces: | \( 0 \) | ||
| Sturm bound: | \(96\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{1}(\Gamma_1(42))\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 24 | 0 | 24 |
| Cusp forms | 0 | 0 | 0 |
| Eisenstein series | 24 | 0 | 24 |
The following table gives the dimensions of subspaces with specified projective image type.
| \(D_n\) | \(A_4\) | \(S_4\) | \(A_5\) | |
|---|---|---|---|---|
| Dimension | 0 | 0 | 0 | 0 |