Defining parameters
Level: | \( N \) | \(=\) | \( 4592 = 2^{4} \cdot 7 \cdot 41 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 4592.ek (of order \(20\) and degree \(8\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 656 \) |
Character field: | \(\Q(\zeta_{20})\) | ||
Sturm bound: | \(1344\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(4592, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 5408 | 4032 | 1376 |
Cusp forms | 5344 | 4032 | 1312 |
Eisenstein series | 64 | 0 | 64 |
Decomposition of \(S_{2}^{\mathrm{new}}(4592, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(4592, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(4592, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(656, [\chi])\)\(^{\oplus 2}\)