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Properties

Label 3332.2.cu
Level $3332$
Weight $2$
Character orbit 3332.cu
Rep. character $\chi_{3332}(59,\cdot)$
Character field $\Q(\zeta_{168})$
Dimension $24000$
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.cu (of order \(168\) and degree \(48\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 3332 \)
Character field: \(\Q(\zeta_{168})\)
Sturm bound: \(1008\)

Dimensions

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

Total New Old
Modular forms 24384 24384 0
Cusp forms 24000 24000 0
Eisenstein series 384 384 0

Trace form

\( 24000 q - 52 q^{2} - 88 q^{5} - 56 q^{6} - 40 q^{8} - 104 q^{9} + O(q^{10}) \) \( 24000 q - 52 q^{2} - 88 q^{5} - 56 q^{6} - 40 q^{8} - 104 q^{9} - 44 q^{10} - 44 q^{12} - 16 q^{14} - 104 q^{16} - 88 q^{17} - 48 q^{18} - 56 q^{20} + 8 q^{22} - 44 q^{24} - 104 q^{25} - 20 q^{26} - 208 q^{28} - 80 q^{29} - 72 q^{32} - 176 q^{33} - 56 q^{34} - 8 q^{36} - 104 q^{37} + 180 q^{40} - 112 q^{41} + 4 q^{42} + 44 q^{44} - 88 q^{45} - 52 q^{46} - 96 q^{49} - 192 q^{50} + 8 q^{52} - 104 q^{53} - 188 q^{54} - 84 q^{56} - 80 q^{57} - 52 q^{58} - 36 q^{60} - 40 q^{61} - 56 q^{62} - 64 q^{65} - 44 q^{66} - 264 q^{68} - 60 q^{70} - 88 q^{73} - 52 q^{74} - 168 q^{76} - 160 q^{77} + 8 q^{78} - 72 q^{80} + 32 q^{82} + 24 q^{84} - 80 q^{85} - 72 q^{86} - 624 q^{88} + 168 q^{90} - 72 q^{92} - 104 q^{93} + 292 q^{94} - 44 q^{96} + O(q^{100}) \)

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.