Defining parameters
Level: | \( N \) | \(=\) | \( 7744 = 2^{6} \cdot 11^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 7744.cz (of order \(880\) and degree \(320\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 7744 \) |
Character field: | \(\Q(\zeta_{880})\) | ||
Sturm bound: | \(2112\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(7744, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 338560 | 338560 | 0 |
Cusp forms | 337280 | 337280 | 0 |
Eisenstein series | 1280 | 1280 | 0 |
Decomposition of \(S_{2}^{\mathrm{new}}(7744, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.