Defining parameters
Level: | \( N \) | \(=\) | \( 4009 = 19 \cdot 211 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 4009.eu (of order \(630\) and degree \(144\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 4009 \) |
Character field: | \(\Q(\zeta_{630})\) | ||
Sturm bound: | \(706\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(4009, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 51264 | 51264 | 0 |
Cusp forms | 50688 | 50688 | 0 |
Eisenstein series | 576 | 576 | 0 |
Decomposition of \(S_{2}^{\mathrm{new}}(4009, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.