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Properties

Label 3344.2.cm
Level $3344$
Weight $2$
Character orbit 3344.cm
Rep. character $\chi_{3344}(373,\cdot)$
Character field $\Q(\zeta_{12})$
Dimension $1904$
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.cm (of order \(12\) and degree \(4\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 3344 \)
Character field: \(\Q(\zeta_{12})\)
Sturm bound: \(960\)

Dimensions

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

Total New Old
Modular forms 1936 1936 0
Cusp forms 1904 1904 0
Eisenstein series 32 32 0

Trace form

\( 1904 q - 12 q^{3} - 4 q^{4} - 4 q^{5} + O(q^{10}) \) \( 1904 q - 12 q^{3} - 4 q^{4} - 4 q^{5} - 8 q^{11} - 36 q^{14} - 24 q^{15} - 4 q^{16} - 16 q^{20} - 6 q^{22} - 120 q^{26} - 12 q^{33} + 48 q^{34} - 36 q^{36} + 48 q^{38} - 8 q^{42} + 48 q^{44} - 80 q^{45} - 8 q^{47} - 12 q^{48} + 1776 q^{49} - 12 q^{53} - 16 q^{58} - 12 q^{59} - 12 q^{60} - 112 q^{64} + 38 q^{66} - 12 q^{67} - 168 q^{70} - 64 q^{77} + 36 q^{78} + 48 q^{80} + 880 q^{81} - 120 q^{82} - 12 q^{86} - 96 q^{91} - 36 q^{92} + 8 q^{93} - 24 q^{97} - 28 q^{99} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

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

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