Properties

Label 3344.2.dp
Level $3344$
Weight $2$
Character orbit 3344.dp
Rep. character $\chi_{3344}(239,\cdot)$
Character field $\Q(\zeta_{30})$
Dimension $960$
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.dp (of order \(30\) and degree \(8\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 836 \)
Character field: \(\Q(\zeta_{30})\)
Sturm bound: \(960\)

Dimensions

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

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

Trace form

\( 960 q - 108 q^{9} + O(q^{10}) \) \( 960 q - 108 q^{9} + 120 q^{25} - 36 q^{33} - 60 q^{41} - 168 q^{49} - 24 q^{53} + 30 q^{57} - 120 q^{77} + 162 q^{81} + 120 q^{85} + 96 q^{89} - 144 q^{93} + 66 q^{97} + O(q^{100}) \)

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

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