Defining parameters
Level: | \( N \) | \(=\) | \( 5077 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 5077.h (of order \(18\) and degree \(6\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 5077 \) |
Character field: | \(\Q(\zeta_{18})\) | ||
Sturm bound: | \(846\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(5077, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 2544 | 2544 | 0 |
Cusp forms | 2532 | 2532 | 0 |
Eisenstein series | 12 | 12 | 0 |
Decomposition of \(S_{2}^{\mathrm{new}}(5077, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.