Defining parameters
Level: | \( N \) | \(=\) | \( 9216 = 2^{10} \cdot 3^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 9216.ck (of order \(256\) and degree \(128\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 3072 \) |
Character field: | \(\Q(\zeta_{256})\) | ||
Sturm bound: | \(3072\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(9216, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 197120 | 65536 | 131584 |
Cusp forms | 196096 | 65536 | 130560 |
Eisenstein series | 1024 | 0 | 1024 |
Decomposition of \(S_{2}^{\mathrm{new}}(9216, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(9216, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(9216, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(3072, [\chi])\)\(^{\oplus 2}\)