Properties

Label 4256.2.gd
Level $4256$
Weight $2$
Character orbit 4256.gd
Rep. character $\chi_{4256}(1279,\cdot)$
Character field $\Q(\zeta_{18})$
Dimension $960$
Sturm bound $1280$

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Defining parameters

Level: \( N \) \(=\) \( 4256 = 2^{5} \cdot 7 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 4256.gd (of order \(18\) and degree \(6\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 532 \)
Character field: \(\Q(\zeta_{18})\)
Sturm bound: \(1280\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(4256, [\chi])\).

Total New Old
Modular forms 3936 960 2976
Cusp forms 3744 960 2784
Eisenstein series 192 0 192

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

\( S_{2}^{\mathrm{old}}(4256, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(532, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1064, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2128, [\chi])\)\(^{\oplus 2}\)