Defining parameters
Level: | \( N \) | \(=\) | \( 7168 = 2^{10} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 7168.br (of order \(48\) and degree \(16\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 448 \) |
Character field: | \(\Q(\zeta_{48})\) | ||
Sturm bound: | \(2048\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(7168, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 16896 | 4224 | 12672 |
Cusp forms | 15872 | 3968 | 11904 |
Eisenstein series | 1024 | 256 | 768 |
Decomposition of \(S_{2}^{\mathrm{new}}(7168, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(7168, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(7168, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(448, [\chi])\)\(^{\oplus 5}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1792, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(3584, [\chi])\)\(^{\oplus 2}\)