Defining parameters
Level: | \( N \) | \(=\) | \( 1911 = 3 \cdot 7^{2} \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 1911.dr (of order \(42\) and degree \(12\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 1911 \) |
Character field: | \(\Q(\zeta_{42})\) | ||
Sturm bound: | \(1045\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{4}(1911, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 9456 | 9456 | 0 |
Cusp forms | 9360 | 9360 | 0 |
Eisenstein series | 96 | 96 | 0 |
Trace form
Decomposition of \(S_{4}^{\mathrm{new}}(1911, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.