Defining parameters
Level: | \( N \) | \(=\) | \( 1175 = 5^{2} \cdot 47 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 1175.i (of order \(10\) and degree \(4\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 25 \) |
Character field: | \(\Q(\zeta_{10})\) | ||
Sturm bound: | \(480\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{4}(1175, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 1448 | 1384 | 64 |
Cusp forms | 1432 | 1384 | 48 |
Eisenstein series | 16 | 0 | 16 |
Trace form
Decomposition of \(S_{4}^{\mathrm{new}}(1175, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{4}^{\mathrm{old}}(1175, [\chi])\) into lower level spaces
\( S_{4}^{\mathrm{old}}(1175, [\chi]) \cong \) \(S_{4}^{\mathrm{new}}(25, [\chi])\)\(^{\oplus 2}\)