Defining parameters
Level: | \( N \) | \(=\) | \( 6019 = 13 \cdot 463 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 6019.c (of order \(2\) and degree \(1\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 13 \) |
Character field: | \(\Q\) | ||
Sturm bound: | \(1082\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(6019, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 542 | 538 | 4 |
Cusp forms | 538 | 538 | 0 |
Eisenstein series | 4 | 0 | 4 |
Decomposition of \(S_{2}^{\mathrm{new}}(6019, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.