Defining parameters
Level: | \( N \) | \(=\) | \( 1343 = 17 \cdot 79 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 1343.bi (of order \(208\) and degree \(96\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 1343 \) |
Character field: | \(\Q(\zeta_{208})\) | ||
Sturm bound: | \(240\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(1343, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 11712 | 11712 | 0 |
Cusp forms | 11328 | 11328 | 0 |
Eisenstein series | 384 | 384 | 0 |
Trace form
Decomposition of \(S_{2}^{\mathrm{new}}(1343, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.