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Properties

Label 2151.2.n
Level $2151$
Weight $2$
Character orbit 2151.n
Rep. character $\chi_{2151}(283,\cdot)$
Character field $\Q(\zeta_{21})$
Dimension $2856$
Sturm bound $480$

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Defining parameters

Level: \( N \) \(=\) \( 2151 = 3^{2} \cdot 239 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2151.n (of order \(21\) and degree \(12\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 2151 \)
Character field: \(\Q(\zeta_{21})\)
Sturm bound: \(480\)

Dimensions

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

Total New Old
Modular forms 2904 2904 0
Cusp forms 2856 2856 0
Eisenstein series 48 48 0

Trace form

\( 2856 q - 5 q^{2} - 10 q^{3} + 231 q^{4} - 5 q^{5} - 34 q^{6} - 5 q^{7} + 2 q^{8} - 2 q^{9} + O(q^{10}) \) \( 2856 q - 5 q^{2} - 10 q^{3} + 231 q^{4} - 5 q^{5} - 34 q^{6} - 5 q^{7} + 2 q^{8} - 2 q^{9} - 28 q^{10} - q^{11} - 46 q^{12} - 5 q^{13} - 46 q^{14} - 10 q^{15} + 231 q^{16} + 10 q^{17} - 38 q^{18} - 20 q^{19} - 17 q^{20} - 8 q^{21} - 20 q^{22} + 68 q^{23} + 46 q^{24} + 225 q^{25} - 12 q^{26} - 7 q^{27} - 72 q^{28} + 21 q^{29} - 61 q^{30} - 5 q^{31} + 7 q^{32} + 3 q^{33} - q^{34} - 112 q^{35} - 334 q^{36} - 20 q^{37} + 7 q^{38} + 99 q^{39} - 2 q^{40} - 21 q^{41} + 36 q^{42} - 5 q^{43} - 28 q^{44} + 24 q^{45} + 27 q^{47} - 40 q^{48} + 221 q^{49} - 49 q^{50} - 82 q^{51} - 6 q^{52} - 112 q^{53} - 20 q^{54} - 40 q^{55} + 37 q^{56} + 44 q^{57} - 58 q^{58} - 49 q^{59} - 69 q^{60} - 5 q^{61} - 30 q^{62} + 92 q^{63} - 402 q^{64} - 33 q^{65} + 55 q^{66} - 12 q^{67} - 58 q^{68} + 33 q^{69} - 7 q^{70} + 164 q^{71} + 120 q^{72} - 48 q^{73} - 105 q^{74} + 90 q^{75} - 12 q^{76} - 53 q^{77} + 56 q^{78} - 35 q^{79} + 56 q^{80} + 154 q^{81} + 62 q^{82} - 21 q^{83} - 22 q^{84} + 17 q^{85} + 3 q^{86} + 74 q^{87} + 31 q^{88} - 16 q^{89} - 85 q^{90} - 72 q^{91} - 25 q^{92} + 65 q^{94} - 13 q^{95} + 158 q^{96} - 5 q^{97} + 20 q^{98} - 134 q^{99} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

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

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