Defining parameters
| Level: | \( N \) | \(=\) | \( 4014 = 2 \cdot 3^{2} \cdot 223 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 4014.y (of order \(111\) and degree \(72\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 2007 \) |
| Character field: | \(\Q(\zeta_{111})\) | ||
| Sturm bound: | \(1344\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(4014, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 48672 | 16128 | 32544 |
| Cusp forms | 48096 | 16128 | 31968 |
| Eisenstein series | 576 | 0 | 576 |
Decomposition of \(S_{2}^{\mathrm{new}}(4014, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(4014, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(4014, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(2007, [\chi])\)\(^{\oplus 2}\)