Properties

Label 2151.2.e
Level $2151$
Weight $2$
Character orbit 2151.e
Rep. character $\chi_{2151}(718,\cdot)$
Character field $\Q(\zeta_{3})$
Dimension $476$
Sturm bound $480$

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Defining parameters

Level: \( N \) \(=\) \( 2151 = 3^{2} \cdot 239 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2151.e (of order \(3\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 9 \)
Character field: \(\Q(\zeta_{3})\)
Sturm bound: \(480\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2151, [\chi])\).

Total New Old
Modular forms 484 476 8
Cusp forms 476 476 0
Eisenstein series 8 0 8

Trace form

\( 476 q - 2 q^{2} - 4 q^{3} - 238 q^{4} - 2 q^{5} + 6 q^{6} - 2 q^{7} + 12 q^{8} - 12 q^{9} + O(q^{10}) \) \( 476 q - 2 q^{2} - 4 q^{3} - 238 q^{4} - 2 q^{5} + 6 q^{6} - 2 q^{7} + 12 q^{8} - 12 q^{9} - 6 q^{11} + 4 q^{12} - 2 q^{13} + 4 q^{14} - 4 q^{15} - 238 q^{16} + 4 q^{17} + 24 q^{18} - 8 q^{19} + 10 q^{20} - 6 q^{21} + 6 q^{22} + 2 q^{23} - 32 q^{24} - 232 q^{25} - 16 q^{26} + 14 q^{27} + 16 q^{28} - 30 q^{30} - 2 q^{31} - 14 q^{32} + 18 q^{33} - 6 q^{34} + 26 q^{36} - 8 q^{37} - 14 q^{38} - 8 q^{39} - 12 q^{40} + 14 q^{41} - 8 q^{42} - 2 q^{43} + 28 q^{44} + 18 q^{45} + 8 q^{47} + 12 q^{48} - 228 q^{49} - 14 q^{50} + 54 q^{51} - 8 q^{52} - 56 q^{53} + 6 q^{54} + 12 q^{55} + 12 q^{56} - 2 q^{57} - 12 q^{58} - 57 q^{60} - 2 q^{61} + 2 q^{62} + 6 q^{63} + 500 q^{64} + 26 q^{65} + 36 q^{66} - 2 q^{67} + 16 q^{68} + 16 q^{69} + 4 q^{71} - 43 q^{72} - 8 q^{73} + 42 q^{74} + 22 q^{75} - 2 q^{76} + 46 q^{77} - 42 q^{78} - 14 q^{79} - 56 q^{80} - 84 q^{81} + 36 q^{82} - 56 q^{83} + 8 q^{84} - 24 q^{85} - 10 q^{86} - 46 q^{87} + 18 q^{88} - 12 q^{89} + 15 q^{90} + 44 q^{91} - 10 q^{92} - 14 q^{93} + 12 q^{94} - 8 q^{95} + 24 q^{96} - 2 q^{97} + 120 q^{98} - 20 q^{99} + O(q^{100}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(2151, [\chi])\) into newform subspaces

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