Defining parameters
Level: | \( N \) | \(=\) | \( 2448 = 2^{4} \cdot 3^{2} \cdot 17 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 2448.ex (of order \(24\) and degree \(8\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 612 \) |
Character field: | \(\Q(\zeta_{24})\) | ||
Sturm bound: | \(864\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(2448, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 3552 | 864 | 2688 |
Cusp forms | 3360 | 864 | 2496 |
Eisenstein series | 192 | 0 | 192 |
Trace form
Decomposition of \(S_{2}^{\mathrm{new}}(2448, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(2448, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(2448, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(612, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1224, [\chi])\)\(^{\oplus 2}\)