Defining parameters
Level: | \( N \) | \(=\) | \( 3584 = 2^{9} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 3584.bh (of order \(24\) and degree \(8\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 224 \) |
Character field: | \(\Q(\zeta_{24})\) | ||
Sturm bound: | \(1024\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(3584, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 4352 | 1088 | 3264 |
Cusp forms | 3840 | 960 | 2880 |
Eisenstein series | 512 | 128 | 384 |
Trace form
Decomposition of \(S_{2}^{\mathrm{new}}(3584, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(3584, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(3584, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(224, [\chi])\)\(^{\oplus 5}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(448, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(896, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1792, [\chi])\)\(^{\oplus 2}\)