Defining parameters
Level: | \( N \) | \(=\) | \( 9408 = 2^{6} \cdot 3 \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 9408.cz (of order \(16\) and degree \(8\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 1344 \) |
Character field: | \(\Q(\zeta_{16})\) | ||
Sturm bound: | \(3584\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(9408, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 14464 | 10304 | 4160 |
Cusp forms | 14208 | 10176 | 4032 |
Eisenstein series | 256 | 128 | 128 |
Decomposition of \(S_{2}^{\mathrm{new}}(9408, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(9408, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(9408, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(1344, [\chi])\)\(^{\oplus 2}\)