Defining parameters
| Level: | \( N \) | \(=\) | \( 1332 = 2^{2} \cdot 3^{2} \cdot 37 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 1332.ci (of order \(12\) and degree \(4\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 148 \) |
| Character field: | \(\Q(\zeta_{12})\) | ||
| Sturm bound: | \(456\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(1332, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 944 | 388 | 556 |
| Cusp forms | 880 | 372 | 508 |
| Eisenstein series | 64 | 16 | 48 |
Trace form
Decomposition of \(S_{2}^{\mathrm{new}}(1332, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(1332, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(1332, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(148, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(444, [\chi])\)\(^{\oplus 2}\)