Defining parameters
Level: | \( N \) | \(=\) | \( 2624 = 2^{6} \cdot 41 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 2624.x (of order \(8\) and degree \(4\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 656 \) |
Character field: | \(\Q(\zeta_{8})\) | ||
Sturm bound: | \(672\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(2624, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 1376 | 344 | 1032 |
Cusp forms | 1312 | 328 | 984 |
Eisenstein series | 64 | 16 | 48 |
Trace form
Decomposition of \(S_{2}^{\mathrm{new}}(2624, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(2624, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(2624, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(656, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1312, [\chi])\)\(^{\oplus 2}\)