Defining parameters
Level: | \( N \) | \(=\) | \( 6040 = 2^{3} \cdot 5 \cdot 151 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 6040.cw (of order \(30\) and degree \(8\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 6040 \) |
Character field: | \(\Q(\zeta_{30})\) | ||
Sturm bound: | \(1824\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(6040, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 7328 | 7328 | 0 |
Cusp forms | 7264 | 7264 | 0 |
Eisenstein series | 64 | 64 | 0 |
Decomposition of \(S_{2}^{\mathrm{new}}(6040, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.