Defining parameters
Level: | \( N \) | \(=\) | \( 3648 = 2^{6} \cdot 3 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 3648.bt (of order \(8\) and degree \(4\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 1824 \) |
Character field: | \(\Q(\zeta_{8})\) | ||
Newform subspaces: | \( 0 \) | ||
Sturm bound: | \(1280\) | ||
Trace bound: | \(0\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(3648, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 2592 | 0 | 2592 |
Cusp forms | 2528 | 0 | 2528 |
Eisenstein series | 64 | 0 | 64 |
Decomposition of \(S_{2}^{\mathrm{old}}(3648, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(3648, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(1824, [\chi])\)\(^{\oplus 2}\)