Defining parameters
Level: | \( N \) | \(=\) | \( 6017 = 11 \cdot 547 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 6017.e (of order \(3\) and degree \(2\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 547 \) |
Character field: | \(\Q(\zeta_{3})\) | ||
Sturm bound: | \(1096\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(6017, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 1100 | 912 | 188 |
Cusp forms | 1092 | 912 | 180 |
Eisenstein series | 8 | 0 | 8 |
Decomposition of \(S_{2}^{\mathrm{new}}(6017, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(6017, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(6017, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(547, [\chi])\)\(^{\oplus 2}\)