Defining parameters
Level: | \( N \) | \(=\) | \( 8004 = 2^{2} \cdot 3 \cdot 23 \cdot 29 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 8004.cl (of order \(28\) and degree \(12\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 116 \) |
Character field: | \(\Q(\zeta_{28})\) | ||
Sturm bound: | \(2880\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(8004, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 17376 | 7920 | 9456 |
Cusp forms | 17184 | 7920 | 9264 |
Eisenstein series | 192 | 0 | 192 |
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
\( S_{2}^{\mathrm{old}}(8004, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(116, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(348, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2668, [\chi])\)\(^{\oplus 2}\)