Defining parameters
Level: | \( N \) | \(=\) | \( 8046 = 2 \cdot 3^{3} \cdot 149 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 8046.bh (of order \(666\) and degree \(216\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 4023 \) |
Character field: | \(\Q(\zeta_{666})\) | ||
Sturm bound: | \(2700\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(8046, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 292464 | 97200 | 195264 |
Cusp forms | 290736 | 97200 | 193536 |
Eisenstein series | 1728 | 0 | 1728 |
Decomposition of \(S_{2}^{\mathrm{new}}(8046, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(8046, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(8046, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(4023, [\chi])\)\(^{\oplus 2}\)