Defining parameters
Level: | \( N \) | \(=\) | \( 2365 = 5 \cdot 11 \cdot 43 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 2365.de (of order \(140\) and degree \(48\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 2365 \) |
Character field: | \(\Q(\zeta_{140})\) | ||
Sturm bound: | \(528\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(2365, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 12864 | 12864 | 0 |
Cusp forms | 12480 | 12480 | 0 |
Eisenstein series | 384 | 384 | 0 |
Trace form
Decomposition of \(S_{2}^{\mathrm{new}}(2365, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.