Defining parameters
| Level: | \( N \) | \(=\) | \( 4256 = 2^{5} \cdot 7 \cdot 19 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 4256.b (of order \(2\) and degree \(1\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 8 \) |
| Character field: | \(\Q\) | ||
| Sturm bound: | \(1280\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(4256, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 656 | 108 | 548 |
| Cusp forms | 624 | 108 | 516 |
| Eisenstein series | 32 | 0 | 32 |
Decomposition of \(S_{2}^{\mathrm{new}}(4256, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(4256, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(4256, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(56, [\chi])\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(112, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(152, [\chi])\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(224, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(304, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(608, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1064, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2128, [\chi])\)\(^{\oplus 2}\)