Defining parameters
Level: | \( N \) | \(=\) | \( 7744 = 2^{6} \cdot 11^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 7744.bf (of order \(20\) and degree \(8\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 176 \) |
Character field: | \(\Q(\zeta_{20})\) | ||
Sturm bound: | \(2112\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(7744, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 8832 | 1792 | 7040 |
Cusp forms | 8064 | 1664 | 6400 |
Eisenstein series | 768 | 128 | 640 |
Decomposition of \(S_{2}^{\mathrm{new}}(7744, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(7744, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(7744, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(176, [\chi])\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(704, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1936, [\chi])\)\(^{\oplus 3}\)