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Properties

Label 2151.2.r
Level $2151$
Weight $2$
Character orbit 2151.r
Rep. character $\chi_{2151}(38,\cdot)$
Character field $\Q(\zeta_{42})$
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.r (of order \(42\) and degree \(12\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 2151 \)
Character field: \(\Q(\zeta_{42})\)
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

\( 2856 q - 15 q^{2} - 10 q^{3} - 241 q^{4} - 15 q^{5} - 26 q^{6} - 7 q^{7} - 18 q^{9} + O(q^{10}) \) \( 2856 q - 15 q^{2} - 10 q^{3} - 241 q^{4} - 15 q^{5} - 26 q^{6} - 7 q^{7} - 18 q^{9} - 12 q^{10} - 3 q^{11} - 66 q^{12} - 7 q^{13} + 84 q^{14} - 22 q^{15} + 223 q^{16} + 2 q^{18} - 28 q^{19} - 3 q^{20} - 14 q^{21} - 4 q^{22} - 26 q^{24} - 235 q^{25} - 7 q^{27} - 33 q^{29} + 9 q^{30} - 5 q^{31} + 57 q^{32} - 23 q^{33} - 9 q^{34} + 226 q^{36} - 28 q^{37} - 21 q^{38} + 7 q^{39} - 6 q^{40} - 21 q^{41} + 28 q^{42} - 7 q^{43} - 24 q^{45} - 21 q^{47} - 36 q^{48} - 231 q^{49} - 3 q^{50} - 6 q^{51} + 56 q^{54} - 189 q^{56} + 42 q^{57} - 42 q^{58} - 147 q^{59} + 187 q^{60} - 5 q^{61} - 126 q^{63} + 510 q^{64} - 21 q^{65} - 17 q^{66} - 12 q^{67} - 36 q^{68} - 35 q^{69} - 7 q^{70} - 140 q^{72} + 147 q^{74} + 70 q^{75} - 21 q^{77} + 42 q^{78} + 35 q^{79} - 14 q^{81} + 98 q^{82} + 69 q^{83} - 14 q^{84} - 27 q^{85} - 21 q^{86} - 26 q^{87} - 9 q^{88} - 59 q^{90} + 32 q^{91} - 273 q^{92} - 128 q^{93} + 77 q^{94} - 231 q^{95} + 214 q^{96} - 7 q^{97} + 62 q^{99} + O(q^{100}) \)

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.