Defining parameters
Level: | \( N \) | \(=\) | \( 7600 = 2^{4} \cdot 5^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 7600.hd (of order \(60\) and degree \(16\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 3800 \) |
Character field: | \(\Q(\zeta_{60})\) | ||
Newform subspaces: | \( 0 \) | ||
Sturm bound: | \(2400\) | ||
Trace bound: | \(0\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(7600, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 19328 | 0 | 19328 |
Cusp forms | 19072 | 0 | 19072 |
Eisenstein series | 256 | 0 | 256 |
Decomposition of \(S_{2}^{\mathrm{old}}(7600, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(7600, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(3800, [\chi])\)\(^{\oplus 2}\)