Defining parameters
Level: | \( N \) | \(=\) | \( 6041 = 7 \cdot 863 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 6041.m (of order \(1293\) and degree \(860\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 6041 \) |
Character field: | \(\Q(\zeta_{1293})\) | ||
Sturm bound: | \(1152\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(6041, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 497080 | 497080 | 0 |
Cusp forms | 493640 | 493640 | 0 |
Eisenstein series | 3440 | 3440 | 0 |
Decomposition of \(S_{2}^{\mathrm{new}}(6041, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.