Defining parameters
Level: | \( N \) | \(=\) | \( 3648 = 2^{6} \cdot 3 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 3648.ep (of order \(144\) and degree \(48\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 1216 \) |
Character field: | \(\Q(\zeta_{144})\) | ||
Sturm bound: | \(1280\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(3648, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 30912 | 15360 | 15552 |
Cusp forms | 30528 | 15360 | 15168 |
Eisenstein series | 384 | 0 | 384 |
Trace form
Decomposition of \(S_{2}^{\mathrm{new}}(3648, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(3648, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(3648, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(1216, [\chi])\)\(^{\oplus 2}\)