Defining parameters
Level: | \( N \) | \(=\) | \( 6031 = 37 \cdot 163 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 6031.cw (of order \(18\) and degree \(6\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 6031 \) |
Character field: | \(\Q(\zeta_{18})\) | ||
Sturm bound: | \(1038\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(6031, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 3132 | 3132 | 0 |
Cusp forms | 3108 | 3108 | 0 |
Eisenstein series | 24 | 24 | 0 |
Decomposition of \(S_{2}^{\mathrm{new}}(6031, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.