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Properties

Label 2151.2.v
Level $2151$
Weight $2$
Character orbit 2151.v
Rep. character $\chi_{2151}(23,\cdot)$
Character field $\Q(\zeta_{102})$
Dimension $7616$
Sturm bound $480$

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Defining parameters

Level: \( N \) \(=\) \( 2151 = 3^{2} \cdot 239 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2151.v (of order \(102\) and degree \(32\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 2151 \)
Character field: \(\Q(\zeta_{102})\)
Sturm bound: \(480\)

Dimensions

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

Total New Old
Modular forms 7744 7744 0
Cusp forms 7616 7616 0
Eisenstein series 128 128 0

Trace form

\( 7616 q - 45 q^{2} - 30 q^{3} - 251 q^{4} - 45 q^{5} - 32 q^{6} - 17 q^{7} - 38 q^{9} + O(q^{10}) \) \( 7616 q - 45 q^{2} - 30 q^{3} - 251 q^{4} - 45 q^{5} - 32 q^{6} - 17 q^{7} - 38 q^{9} - 120 q^{10} - 135 q^{11} - 30 q^{12} - 17 q^{13} - 51 q^{14} - 42 q^{15} + 213 q^{16} - 18 q^{18} - 68 q^{19} - 135 q^{20} - 102 q^{21} - 7 q^{22} - 51 q^{23} - 108 q^{24} - 245 q^{25} - 48 q^{27} - 68 q^{28} - 63 q^{29} - 190 q^{30} - 15 q^{31} + 27 q^{32} - 8 q^{33} - 19 q^{34} - 60 q^{36} - 68 q^{37} + 340 q^{39} - 77 q^{40} - 51 q^{41} - 136 q^{42} - 17 q^{43} - 39 q^{45} - 68 q^{46} - 51 q^{47} - 104 q^{48} - 241 q^{49} - 120 q^{50} - 12 q^{51} - 17 q^{52} - 440 q^{54} - 40 q^{55} - 51 q^{56} - 34 q^{57} + 11 q^{58} - 51 q^{59} - 499 q^{60} - 15 q^{61} - 34 q^{63} + 344 q^{64} - 51 q^{65} + 78 q^{66} - 15 q^{67} - 171 q^{68} + 136 q^{69} - 136 q^{70} + 33 q^{72} - 68 q^{73} - 51 q^{74} - 76 q^{75} + 51 q^{76} - 51 q^{77} + 408 q^{78} - 17 q^{79} - 62 q^{81} - 68 q^{82} + 33 q^{83} - 34 q^{84} - 37 q^{85} - 51 q^{86} - 88 q^{87} - 41 q^{88} - 227 q^{90} - 8 q^{91} + 561 q^{92} + 56 q^{93} - 17 q^{94} - 51 q^{95} + 15 q^{96} - 17 q^{97} - 234 q^{99} + O(q^{100}) \)

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.