Defining parameters
Level: | \( N \) | \(=\) | \( 2005 = 5 \cdot 401 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 2005.bl (of order \(80\) and degree \(32\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 2005 \) |
Character field: | \(\Q(\zeta_{80})\) | ||
Sturm bound: | \(402\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(2005, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 6496 | 6496 | 0 |
Cusp forms | 6368 | 6368 | 0 |
Eisenstein series | 128 | 128 | 0 |
Trace form
Decomposition of \(S_{2}^{\mathrm{new}}(2005, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.