Defining parameters
Level: | \( N \) | \(=\) | \( 6019 = 13 \cdot 463 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 6019.bo (of order \(22\) and degree \(10\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 6019 \) |
Character field: | \(\Q(\zeta_{22})\) | ||
Sturm bound: | \(1082\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(6019, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 5420 | 5420 | 0 |
Cusp forms | 5380 | 5380 | 0 |
Eisenstein series | 40 | 40 | 0 |
Decomposition of \(S_{2}^{\mathrm{new}}(6019, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.