Defining parameters
Level: | \( N \) | \(=\) | \( 4004 = 2^{2} \cdot 7 \cdot 11 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 4004.fn (of order \(20\) and degree \(8\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 4004 \) |
Character field: | \(\Q(\zeta_{20})\) | ||
Sturm bound: | \(1344\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(4004, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 5440 | 5440 | 0 |
Cusp forms | 5312 | 5312 | 0 |
Eisenstein series | 128 | 128 | 0 |
Decomposition of \(S_{2}^{\mathrm{new}}(4004, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.