Defining parameters
Level: | \( N \) | \(=\) | \( 2240 = 2^{6} \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 2240.ev (of order \(24\) and degree \(8\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 224 \) |
Character field: | \(\Q(\zeta_{24})\) | ||
Newform subspaces: | \( 0 \) | ||
Sturm bound: | \(1536\) | ||
Trace bound: | \(0\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{4}(2240, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 9280 | 0 | 9280 |
Cusp forms | 9152 | 0 | 9152 |
Eisenstein series | 128 | 0 | 128 |
Decomposition of \(S_{4}^{\mathrm{old}}(2240, [\chi])\) into lower level spaces
\( S_{4}^{\mathrm{old}}(2240, [\chi]) \cong \) \(S_{4}^{\mathrm{new}}(224, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{4}^{\mathrm{new}}(448, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{4}^{\mathrm{new}}(1120, [\chi])\)\(^{\oplus 2}\)