Defining parameters
Level: | \( N \) | \(=\) | \( 1216 = 2^{6} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 1216.bu (of order \(36\) and degree \(12\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 304 \) |
Character field: | \(\Q(\zeta_{36})\) | ||
Sturm bound: | \(320\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(1216, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 2016 | 504 | 1512 |
Cusp forms | 1824 | 456 | 1368 |
Eisenstein series | 192 | 48 | 144 |
Trace form
Decomposition of \(S_{2}^{\mathrm{new}}(1216, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(1216, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(1216, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(304, [\chi])\)\(^{\oplus 3}\)