Defining parameters
Level: | \( N \) | \(=\) | \( 6001 = 17 \cdot 353 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 6001.bw (of order \(22\) and degree \(10\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 353 \) |
Character field: | \(\Q(\zeta_{22})\) | ||
Sturm bound: | \(1062\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(6001, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 5320 | 4720 | 600 |
Cusp forms | 5280 | 4720 | 560 |
Eisenstein series | 40 | 0 | 40 |
Decomposition of \(S_{2}^{\mathrm{new}}(6001, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(6001, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(6001, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(353, [\chi])\)\(^{\oplus 2}\)