Defining parameters
Level: | \( N \) | \(=\) | \( 8712 = 2^{3} \cdot 3^{2} \cdot 11^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 8712.do (of order \(66\) and degree \(20\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 8712 \) |
Character field: | \(\Q(\zeta_{66})\) | ||
Sturm bound: | \(3168\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(8712, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 31760 | 31760 | 0 |
Cusp forms | 31600 | 31600 | 0 |
Eisenstein series | 160 | 160 | 0 |
Decomposition of \(S_{2}^{\mathrm{new}}(8712, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.