Defining parameters
Level: | \( N \) | \(=\) | \( 2240 = 2^{6} \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 2240.dp (of order \(12\) and degree \(4\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 560 \) |
Character field: | \(\Q(\zeta_{12})\) | ||
Sturm bound: | \(1536\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{4}(2240, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 4672 | 1168 | 3504 |
Cusp forms | 4544 | 1136 | 3408 |
Eisenstein series | 128 | 32 | 96 |
Trace form
Decomposition of \(S_{4}^{\mathrm{new}}(2240, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{4}^{\mathrm{old}}(2240, [\chi])\) into lower level spaces
\( S_{4}^{\mathrm{old}}(2240, [\chi]) \cong \) \(S_{4}^{\mathrm{new}}(560, [\chi])\)\(^{\oplus 3}\)