Properties

Label 3344.2.bk
Level $3344$
Weight $2$
Character orbit 3344.bk
Rep. character $\chi_{3344}(1759,\cdot)$
Character field $\Q(\zeta_{6})$
Dimension $240$
Sturm bound $960$

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Defining parameters

Level: \( N \) \(=\) \( 3344 = 2^{4} \cdot 11 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 3344.bk (of order \(6\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 836 \)
Character field: \(\Q(\zeta_{6})\)
Sturm bound: \(960\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(3344, [\chi])\).

Total New Old
Modular forms 984 240 744
Cusp forms 936 240 696
Eisenstein series 48 0 48

Trace form

\( 240 q + 108 q^{9} + O(q^{10}) \) \( 240 q + 108 q^{9} - 120 q^{25} + 6 q^{33} + 288 q^{49} + 24 q^{53} - 72 q^{81} - 36 q^{89} - 96 q^{93} + 24 q^{97} + O(q^{100}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(3344, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(3344, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(3344, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(836, [\chi])\)\(^{\oplus 3}\)