Defining parameters
Level: | \( N \) | \(=\) | \( 8112 = 2^{4} \cdot 3 \cdot 13^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 8112.fi (of order \(156\) and degree \(48\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 2704 \) |
Character field: | \(\Q(\zeta_{156})\) | ||
Sturm bound: | \(2912\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(8112, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 70080 | 34944 | 35136 |
Cusp forms | 69696 | 34944 | 34752 |
Eisenstein series | 384 | 0 | 384 |
Decomposition of \(S_{2}^{\mathrm{new}}(8112, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(8112, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(8112, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(2704, [\chi])\)\(^{\oplus 2}\)