Defining parameters
| Level: | \( N \) | \(=\) | \( 3675 = 3 \cdot 5^{2} \cdot 7^{2} \) |
| Weight: | \( k \) | \(=\) | \( 1 \) |
| Character orbit: | \([\chi]\) | \(=\) | 3675.s (of order \(6\) and degree \(2\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 35 \) |
| Character field: | \(\Q(\zeta_{6})\) | ||
| Newform subspaces: | \( 0 \) | ||
| Sturm bound: | \(560\) | ||
| Trace bound: | \(0\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{1}(3675, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 104 | 0 | 104 |
| Cusp forms | 8 | 0 | 8 |
| Eisenstein series | 96 | 0 | 96 |
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 |
Decomposition of \(S_{1}^{\mathrm{old}}(3675, [\chi])\) into lower level spaces
\( S_{1}^{\mathrm{old}}(3675, [\chi]) \simeq \) \(S_{1}^{\mathrm{new}}(1225, [\chi])\)\(^{\oplus 2}\)