Defining parameters
Level: | \( N \) | \(=\) | \( 4021 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 4021.o (of order \(201\) and degree \(132\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 4021 \) |
Character field: | \(\Q(\zeta_{201})\) | ||
Sturm bound: | \(670\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(4021, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 44352 | 44352 | 0 |
Cusp forms | 44088 | 44088 | 0 |
Eisenstein series | 264 | 264 | 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.