Defining parameters
Level: | \( N \) | \(=\) | \( 1911 = 3 \cdot 7^{2} \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 1911.cd (of order \(12\) and degree \(4\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 39 \) |
Character field: | \(\Q(\zeta_{12})\) | ||
Sturm bound: | \(1045\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{4}(1911, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 3200 | 2336 | 864 |
Cusp forms | 3072 | 2256 | 816 |
Eisenstein series | 128 | 80 | 48 |
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.
Decomposition of \(S_{4}^{\mathrm{old}}(1911, [\chi])\) into lower level spaces
\( S_{4}^{\mathrm{old}}(1911, [\chi]) \cong \) \(S_{4}^{\mathrm{new}}(39, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{4}^{\mathrm{new}}(273, [\chi])\)\(^{\oplus 2}\)