Defining parameters
| Level: | \( N \) | \(=\) | \( 1332 = 2^{2} \cdot 3^{2} \cdot 37 \) |
| Weight: | \( k \) | \(=\) | \( 1 \) |
| Character orbit: | \([\chi]\) | \(=\) | 1332.h (of order \(2\) and degree \(1\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 111 \) |
| Character field: | \(\Q\) | ||
| Newform subspaces: | \( 0 \) | ||
| Sturm bound: | \(228\) | ||
| Trace bound: | \(0\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{1}(1332, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 34 | 0 | 34 |
| Cusp forms | 22 | 0 | 22 |
| Eisenstein series | 12 | 0 | 12 |
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 \(S_{1}^{\mathrm{old}}(1332, [\chi])\) into lower level spaces
\( S_{1}^{\mathrm{old}}(1332, [\chi]) \simeq \) \(S_{1}^{\mathrm{new}}(111, [\chi])\)\(^{\oplus 6}\)\(\oplus\)\(S_{1}^{\mathrm{new}}(222, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{1}^{\mathrm{new}}(333, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{1}^{\mathrm{new}}(444, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{1}^{\mathrm{new}}(666, [\chi])\)\(^{\oplus 2}\)