Defining parameters
Level: | \( N \) | \(=\) | \( 3640 = 2^{3} \cdot 5 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 3640.ka (of order \(12\) and degree \(4\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 1820 \) |
Character field: | \(\Q(\zeta_{12})\) | ||
Newform subspaces: | \( 0 \) | ||
Sturm bound: | \(1344\) | ||
Trace bound: | \(0\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(3640, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 2752 | 0 | 2752 |
Cusp forms | 2624 | 0 | 2624 |
Eisenstein series | 128 | 0 | 128 |
Decomposition of \(S_{2}^{\mathrm{old}}(3640, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(3640, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(1820, [\chi])\)\(^{\oplus 2}\)