Defining parameters
Level: | \( N \) | \(=\) | \( 6004 = 2^{2} \cdot 19 \cdot 79 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 6004.dt (of order \(78\) and degree \(24\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 316 \) |
Character field: | \(\Q(\zeta_{78})\) | ||
Sturm bound: | \(1600\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(6004, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 19296 | 17280 | 2016 |
Cusp forms | 19104 | 17280 | 1824 |
Eisenstein series | 192 | 0 | 192 |
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
\( S_{2}^{\mathrm{old}}(6004, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(316, [\chi])\)\(^{\oplus 2}\)