Defining parameters
Level: | \( N \) | \(=\) | \( 4864 = 2^{8} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 4864.bq (of order \(24\) and degree \(8\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 608 \) |
Character field: | \(\Q(\zeta_{24})\) | ||
Sturm bound: | \(1280\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(4864, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 5248 | 1312 | 3936 |
Cusp forms | 4992 | 1248 | 3744 |
Eisenstein series | 256 | 64 | 192 |
Decomposition of \(S_{2}^{\mathrm{new}}(4864, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(4864, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(4864, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(608, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1216, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2432, [\chi])\)\(^{\oplus 2}\)