Defining parameters
Level: | \( N \) | \(=\) | \( 1815 = 3 \cdot 5 \cdot 11^{2} \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 1815.x (of order \(20\) and degree \(8\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 55 \) |
Character field: | \(\Q(\zeta_{20})\) | ||
Sturm bound: | \(1056\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{4}(1815, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 6528 | 2592 | 3936 |
Cusp forms | 6144 | 2592 | 3552 |
Eisenstein series | 384 | 0 | 384 |
Trace form
Decomposition of \(S_{4}^{\mathrm{new}}(1815, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{4}^{\mathrm{old}}(1815, [\chi])\) into lower level spaces
\( S_{4}^{\mathrm{old}}(1815, [\chi]) \cong \) \(S_{4}^{\mathrm{new}}(55, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{4}^{\mathrm{new}}(165, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{4}^{\mathrm{new}}(605, [\chi])\)\(^{\oplus 2}\)