Defining parameters
Level: | \( N \) | \(=\) | \( 6240 = 2^{5} \cdot 3 \cdot 5 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 6240.er (of order \(4\) and degree \(2\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 3120 \) |
Character field: | \(\Q(i)\) | ||
Newform subspaces: | \( 0 \) | ||
Sturm bound: | \(2688\) | ||
Trace bound: | \(0\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(6240, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 2720 | 0 | 2720 |
Cusp forms | 2656 | 0 | 2656 |
Eisenstein series | 64 | 0 | 64 |
Decomposition of \(S_{2}^{\mathrm{old}}(6240, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(6240, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(3120, [\chi])\)\(^{\oplus 2}\)