Defining parameters
Level: | \( N \) | \(=\) | \( 8712 = 2^{3} \cdot 3^{2} \cdot 11^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 8712.bm (of order \(10\) and degree \(4\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 264 \) |
Character field: | \(\Q(\zeta_{10})\) | ||
Sturm bound: | \(3168\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(8712, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 6528 | 1728 | 4800 |
Cusp forms | 6144 | 1728 | 4416 |
Eisenstein series | 384 | 0 | 384 |
Decomposition of \(S_{2}^{\mathrm{new}}(8712, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(8712, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(8712, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(264, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(792, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2904, [\chi])\)\(^{\oplus 2}\)