Defining parameters
Level: | \( N \) | \(=\) | \( 3520 = 2^{6} \cdot 5 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 3520.fm (of order \(80\) and degree \(32\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 3520 \) |
Character field: | \(\Q(\zeta_{80})\) | ||
Sturm bound: | \(1152\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(3520, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 18560 | 18560 | 0 |
Cusp forms | 18304 | 18304 | 0 |
Eisenstein series | 256 | 256 | 0 |
Trace form
Decomposition of \(S_{2}^{\mathrm{new}}(3520, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.