Defining parameters
| Level: | \( N \) | \(=\) | \( 6004 = 2^{2} \cdot 19 \cdot 79 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 6004.ec (of order \(117\) and degree \(72\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 1501 \) |
| Character field: | \(\Q(\zeta_{117})\) | ||
| Sturm bound: | \(1600\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(6004, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 58032 | 9648 | 48384 |
| Cusp forms | 57168 | 9648 | 47520 |
| Eisenstein series | 864 | 0 | 864 |
Decomposition of \(S_{2}^{\mathrm{new}}(6004, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(6004, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(6004, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(1501, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(3002, [\chi])\)\(^{\oplus 2}\)