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Properties

Label 1856.4.bv
Level $1856$
Weight $4$
Character orbit 1856.bv
Rep. character $\chi_{1856}(31,\cdot)$
Character field $\Q(\zeta_{28})$
Dimension $2160$
Sturm bound $960$

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Defining parameters

Level: \( N \) \(=\) \( 1856 = 2^{6} \cdot 29 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 1856.bv (of order \(28\) and degree \(12\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 232 \)
Character field: \(\Q(\zeta_{28})\)
Sturm bound: \(960\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{4}(1856, [\chi])\).

Total New Old
Modular forms 8784 2160 6624
Cusp forms 8496 2160 6336
Eisenstein series 288 0 288

Trace form

\( 2160 q + O(q^{10}) \) \( 2160 q - 312 q^{17} - 9528 q^{25} - 1416 q^{41} + 17640 q^{49} + 888 q^{73} + 14376 q^{81} + 5352 q^{89} + 41616 q^{97} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{4}^{\mathrm{new}}(1856, [\chi])\) into newform subspaces

The newforms in this space have not yet been added to the LMFDB.

Decomposition of \(S_{4}^{\mathrm{old}}(1856, [\chi])\) into lower level spaces

\( S_{4}^{\mathrm{old}}(1856, [\chi]) \cong \) \(S_{4}^{\mathrm{new}}(232, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{4}^{\mathrm{new}}(464, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{4}^{\mathrm{new}}(928, [\chi])\)\(^{\oplus 2}\)