Defining parameters
Level: | \( N \) | \(=\) | \( 4680 = 2^{3} \cdot 3^{2} \cdot 5 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 4680.in (of order \(12\) and degree \(4\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 2340 \) |
Character field: | \(\Q(\zeta_{12})\) | ||
Newform subspaces: | \( 0 \) | ||
Sturm bound: | \(2016\) | ||
Trace bound: | \(0\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(4680, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 4096 | 0 | 4096 |
Cusp forms | 3968 | 0 | 3968 |
Eisenstein series | 128 | 0 | 128 |
Decomposition of \(S_{2}^{\mathrm{old}}(4680, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(4680, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(2340, [\chi])\)\(^{\oplus 2}\)