Defining parameters
Level: | \( N \) | \(=\) | \( 8004 = 2^{2} \cdot 3 \cdot 23 \cdot 29 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 8004.dk (of order \(308\) and degree \(120\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 2668 \) |
Character field: | \(\Q(\zeta_{308})\) | ||
Sturm bound: | \(2880\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(8004, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 173760 | 86400 | 87360 |
Cusp forms | 171840 | 86400 | 85440 |
Eisenstein series | 1920 | 0 | 1920 |
Decomposition of \(S_{2}^{\mathrm{new}}(8004, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(8004, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(8004, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(2668, [\chi])\)\(^{\oplus 2}\)