Defining parameters
Level: | \( N \) | \(=\) | \( 4592 = 2^{4} \cdot 7 \cdot 41 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 4592.gu (of order \(40\) and degree \(16\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 287 \) |
Character field: | \(\Q(\zeta_{40})\) | ||
Sturm bound: | \(1344\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(4592, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 10944 | 2720 | 8224 |
Cusp forms | 10560 | 2656 | 7904 |
Eisenstein series | 384 | 64 | 320 |
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
\( S_{2}^{\mathrm{old}}(4592, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(287, [\chi])\)\(^{\oplus 5}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(574, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1148, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2296, [\chi])\)\(^{\oplus 2}\)