Defining parameters
| Level: | \( N \) | \(=\) | \( 5200 = 2^{4} \cdot 5^{2} \cdot 13 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 5200.fl (of order \(12\) and degree \(4\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 208 \) |
| Character field: | \(\Q(\zeta_{12})\) | ||
| Sturm bound: | \(1680\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(5200, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 3408 | 2152 | 1256 |
| Cusp forms | 3312 | 2104 | 1208 |
| Eisenstein series | 96 | 48 | 48 |
Decomposition of \(S_{2}^{\mathrm{new}}(5200, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(5200, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(5200, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(208, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1040, [\chi])\)\(^{\oplus 2}\)