Defining parameters
Level: | \( N \) | \(=\) | \( 8640 = 2^{6} \cdot 3^{3} \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 8640.ho (of order \(72\) and degree \(24\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 4320 \) |
Character field: | \(\Q(\zeta_{72})\) | ||
Newform subspaces: | \( 0 \) | ||
Sturm bound: | \(3456\) | ||
Trace bound: | \(0\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(8640, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 41664 | 0 | 41664 |
Cusp forms | 41280 | 0 | 41280 |
Eisenstein series | 384 | 0 | 384 |
Decomposition of \(S_{2}^{\mathrm{old}}(8640, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(8640, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(4320, [\chi])\)\(^{\oplus 2}\)