Defining parameters
Level: | \( N \) | \(=\) | \( 8001 = 3^{2} \cdot 7 \cdot 127 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 8001.bt (of order \(6\) and degree \(2\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 889 \) |
Character field: | \(\Q(\zeta_{6})\) | ||
Sturm bound: | \(2048\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(8001, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 2064 | 856 | 1208 |
Cusp forms | 2032 | 848 | 1184 |
Eisenstein series | 32 | 8 | 24 |
Decomposition of \(S_{2}^{\mathrm{new}}(8001, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(8001, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(8001, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(889, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2667, [\chi])\)\(^{\oplus 2}\)