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Properties

Label 3344.2.eq
Level $3344$
Weight $2$
Character orbit 3344.eq
Rep. character $\chi_{3344}(125,\cdot)$
Character field $\Q(\zeta_{60})$
Dimension $7616$
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.eq (of order \(60\) and degree \(16\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 3344 \)
Character field: \(\Q(\zeta_{60})\)
Sturm bound: \(960\)

Dimensions

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

Total New Old
Modular forms 7744 7744 0
Cusp forms 7616 7616 0
Eisenstein series 128 128 0

Trace form

\( 7616 q - 6 q^{2} - 6 q^{3} - 6 q^{4} - 6 q^{5} - 6 q^{6} - 24 q^{8} + O(q^{10}) \) \( 7616 q - 6 q^{2} - 6 q^{3} - 6 q^{4} - 6 q^{5} - 6 q^{6} - 24 q^{8} - 16 q^{10} - 32 q^{11} - 64 q^{12} - 6 q^{13} - 14 q^{14} - 12 q^{15} - 6 q^{16} - 12 q^{17} - 8 q^{18} - 12 q^{19} - 24 q^{20} - 28 q^{21} - 8 q^{22} + 26 q^{24} - 28 q^{26} - 22 q^{28} - 6 q^{29} - 40 q^{30} - 48 q^{31} - 76 q^{32} - 16 q^{33} - 12 q^{34} - 26 q^{35} + 26 q^{36} - 24 q^{37} - 68 q^{38} + 14 q^{40} - 10 q^{42} - 16 q^{43} + 42 q^{44} - 48 q^{45} - 112 q^{46} - 12 q^{47} + 34 q^{48} + 1760 q^{49} + 32 q^{50} - 30 q^{51} + 26 q^{52} - 6 q^{53} + 76 q^{54} - 16 q^{56} - 24 q^{58} - 6 q^{59} - 86 q^{60} - 6 q^{61} + 90 q^{62} - 68 q^{63} + 120 q^{64} - 128 q^{65} - 80 q^{66} - 16 q^{67} - 112 q^{68} - 60 q^{69} + 60 q^{70} - 38 q^{72} - 66 q^{74} - 40 q^{75} + 224 q^{76} - 88 q^{77} + 72 q^{78} + 68 q^{79} + 62 q^{80} - 900 q^{81} - 90 q^{82} - 144 q^{83} + 232 q^{84} - 46 q^{85} - 6 q^{86} - 52 q^{88} - 162 q^{90} - 34 q^{91} - 54 q^{92} + 6 q^{93} - 208 q^{94} - 24 q^{95} - 80 q^{96} - 12 q^{97} - 36 q^{98} - 70 q^{99} + O(q^{100}) \)

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.