Defining parameters
Level: | \( N \) | \(=\) | \( 7440 = 2^{4} \cdot 3 \cdot 5 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 7440.ji (of order \(30\) and degree \(8\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 744 \) |
Character field: | \(\Q(\zeta_{30})\) | ||
Newform subspaces: | \( 0 \) | ||
Sturm bound: | \(3072\) | ||
Trace bound: | \(0\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(7440, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 12416 | 0 | 12416 |
Cusp forms | 12160 | 0 | 12160 |
Eisenstein series | 256 | 0 | 256 |
Decomposition of \(S_{2}^{\mathrm{old}}(7440, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(7440, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(744, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(3720, [\chi])\)\(^{\oplus 2}\)