Defining parameters
Level: | \( N \) | \(=\) | \( 3240 = 2^{3} \cdot 3^{4} \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 3240.dr (of order \(108\) and degree \(36\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 1620 \) |
Character field: | \(\Q(\zeta_{108})\) | ||
Newform subspaces: | \( 0 \) | ||
Sturm bound: | \(1296\) | ||
Trace bound: | \(0\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(3240, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 23616 | 0 | 23616 |
Cusp forms | 23040 | 0 | 23040 |
Eisenstein series | 576 | 0 | 576 |
Decomposition of \(S_{2}^{\mathrm{old}}(3240, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(3240, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(1620, [\chi])\)\(^{\oplus 2}\)