Defining parameters
Level: | \( N \) | \(=\) | \( 7644 = 2^{2} \cdot 3 \cdot 7^{2} \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 7644.ix (of order \(84\) and degree \(24\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 1911 \) |
Character field: | \(\Q(\zeta_{84})\) | ||
Sturm bound: | \(3136\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(7644, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 37920 | 6264 | 31656 |
Cusp forms | 37344 | 6264 | 31080 |
Eisenstein series | 576 | 0 | 576 |
Decomposition of \(S_{2}^{\mathrm{new}}(7644, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(7644, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(7644, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(1911, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(3822, [\chi])\)\(^{\oplus 2}\)