Defining parameters
Level: | \( N \) | \(=\) | \( 4704 = 2^{5} \cdot 3 \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 4704.dc (of order \(24\) and degree \(8\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 672 \) |
Character field: | \(\Q(\zeta_{24})\) | ||
Sturm bound: | \(1792\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(4704, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 7296 | 5184 | 2112 |
Cusp forms | 7040 | 5056 | 1984 |
Eisenstein series | 256 | 128 | 128 |
Decomposition of \(S_{2}^{\mathrm{new}}(4704, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(4704, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(4704, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(672, [\chi])\)\(^{\oplus 2}\)