Defining parameters
Level: | \( N \) | \(=\) | \( 1216 = 2^{6} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 1216.m (of order \(4\) and degree \(2\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 304 \) |
Character field: | \(\Q(i)\) | ||
Sturm bound: | \(640\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{4}(1216, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 976 | 244 | 732 |
Cusp forms | 944 | 236 | 708 |
Eisenstein series | 32 | 8 | 24 |
Trace form
Decomposition of \(S_{4}^{\mathrm{new}}(1216, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{4}^{\mathrm{old}}(1216, [\chi])\) into lower level spaces
\( S_{4}^{\mathrm{old}}(1216, [\chi]) \cong \) \(S_{4}^{\mathrm{new}}(304, [\chi])\)\(^{\oplus 3}\)