Defining parameters
Level: | \( N \) | \(=\) | \( 8041 = 11 \cdot 17 \cdot 43 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 8041.v (of order \(7\) and degree \(6\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 43 \) |
Character field: | \(\Q(\zeta_{7})\) | ||
Sturm bound: | \(1584\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(8041, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 4776 | 3504 | 1272 |
Cusp forms | 4728 | 3504 | 1224 |
Eisenstein series | 48 | 0 | 48 |
Decomposition of \(S_{2}^{\mathrm{new}}(8041, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(8041, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(8041, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(43, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(473, [\chi])\)\(^{\oplus 2}\)