Defining parameters
Level: | \( N \) | \(=\) | \( 8018 = 2 \cdot 19 \cdot 211 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 8018.em (of order \(315\) and degree \(144\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 4009 \) |
Character field: | \(\Q(\zeta_{315})\) | ||
Sturm bound: | \(2120\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(8018, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 153216 | 50976 | 102240 |
Cusp forms | 152064 | 50976 | 101088 |
Eisenstein series | 1152 | 0 | 1152 |
Decomposition of \(S_{2}^{\mathrm{new}}(8018, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(8018, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(8018, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(4009, [\chi])\)\(^{\oplus 2}\)