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Properties

Label 3332.2.cy
Level $3332$
Weight $2$
Character orbit 3332.cy
Rep. character $\chi_{3332}(11,\cdot)$
Character field $\Q(\zeta_{336})$
Dimension $48000$
Sturm bound $1008$

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Defining parameters

Level: \( N \) \(=\) \( 3332 = 2^{2} \cdot 7^{2} \cdot 17 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 3332.cy (of order \(336\) and degree \(96\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 3332 \)
Character field: \(\Q(\zeta_{336})\)
Sturm bound: \(1008\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(3332, [\chi])\).

Total New Old
Modular forms 48768 48768 0
Cusp forms 48000 48000 0
Eisenstein series 768 768 0

Trace form

\( 48000 q - 104 q^{2} - 104 q^{4} - 208 q^{5} - 80 q^{6} - 80 q^{8} - 208 q^{9} + O(q^{10}) \) \( 48000 q - 104 q^{2} - 104 q^{4} - 208 q^{5} - 80 q^{6} - 80 q^{8} - 208 q^{9} - 104 q^{10} - 104 q^{12} - 160 q^{13} - 96 q^{14} - 208 q^{17} - 96 q^{18} - 80 q^{20} - 192 q^{21} - 80 q^{22} - 104 q^{24} - 208 q^{25} - 40 q^{26} - 384 q^{28} - 160 q^{29} - 112 q^{30} - 104 q^{32} - 80 q^{34} - 80 q^{36} - 208 q^{37} - 104 q^{38} - 424 q^{40} - 160 q^{41} - 48 q^{42} - 360 q^{44} - 208 q^{45} - 104 q^{46} - 240 q^{48} - 192 q^{49} - 208 q^{52} - 208 q^{53} - 184 q^{54} - 136 q^{56} - 160 q^{57} - 104 q^{58} - 104 q^{60} - 240 q^{61} - 192 q^{62} - 80 q^{64} - 208 q^{65} - 72 q^{66} + 40 q^{68} - 640 q^{69} - 168 q^{70} - 104 q^{72} - 208 q^{73} - 104 q^{74} - 192 q^{76} - 160 q^{77} - 80 q^{78} + 32 q^{80} - 208 q^{81} - 624 q^{82} - 160 q^{85} - 208 q^{86} - 104 q^{88} - 208 q^{89} + 120 q^{90} - 80 q^{92} - 208 q^{93} - 584 q^{94} - 104 q^{96} - 384 q^{97} + 40 q^{98} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{2}^{\mathrm{new}}(3332, [\chi])\) into newform subspaces

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