Defining parameters
| Level: | \( N \) | \(=\) | \( 6012 = 2^{2} \cdot 3^{2} \cdot 167 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 6012.r (of order \(166\) and degree \(82\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 501 \) |
| Character field: | \(\Q(\zeta_{166})\) | ||
| Sturm bound: | \(2016\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(6012, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 83640 | 4592 | 79048 |
| Cusp forms | 81672 | 4592 | 77080 |
| Eisenstein series | 1968 | 0 | 1968 |
Decomposition of \(S_{2}^{\mathrm{new}}(6012, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(6012, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(6012, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(501, [\chi])\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1002, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1503, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(3006, [\chi])\)\(^{\oplus 2}\)