Defining parameters
Level: | \( N \) | \(=\) | \( 4021 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 4021.u (of order \(1005\) and degree \(528\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 4021 \) |
Character field: | \(\Q(\zeta_{1005})\) | ||
Sturm bound: | \(670\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(4021, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 177408 | 177408 | 0 |
Cusp forms | 176352 | 176352 | 0 |
Eisenstein series | 1056 | 1056 | 0 |
Decomposition of \(S_{2}^{\mathrm{new}}(4021, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.