Defining parameters
Level: | \( N \) | \(=\) | \( 1840 = 2^{4} \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 1840.cv (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 \(M_{4}(1840, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 17360 | 11520 | 5840 |
Cusp forms | 17200 | 11520 | 5680 |
Eisenstein series | 160 | 0 | 160 |
Trace form
Decomposition of \(S_{4}^{\mathrm{new}}(1840, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{4}^{\mathrm{old}}(1840, [\chi])\) into lower level spaces
\( S_{4}^{\mathrm{old}}(1840, [\chi]) \cong \) \(S_{4}^{\mathrm{new}}(368, [\chi])\)\(^{\oplus 2}\)