Defining parameters
| Level: | \( N \) | \(=\) | \( 5148 = 2^{2} \cdot 3^{2} \cdot 11 \cdot 13 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 5148.dy (of order \(10\) and degree \(4\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 572 \) |
| Character field: | \(\Q(\zeta_{10})\) | ||
| Sturm bound: | \(2016\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(5148, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 4096 | 1696 | 2400 |
| Cusp forms | 3968 | 1664 | 2304 |
| Eisenstein series | 128 | 32 | 96 |
Decomposition of \(S_{2}^{\mathrm{new}}(5148, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(5148, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(5148, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(572, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1716, [\chi])\)\(^{\oplus 2}\)