Defining parameters
Level: | \( N \) | \(=\) | \( 3312 = 2^{4} \cdot 3^{2} \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 3312.cu (of order \(44\) and degree \(20\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 368 \) |
Character field: | \(\Q(\zeta_{44})\) | ||
Sturm bound: | \(1152\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(3312, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 11680 | 4840 | 6840 |
Cusp forms | 11360 | 4760 | 6600 |
Eisenstein series | 320 | 80 | 240 |
Trace form
Decomposition of \(S_{2}^{\mathrm{new}}(3312, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(3312, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(3312, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(368, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1104, [\chi])\)\(^{\oplus 2}\)