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Properties

Label 1441.2.bj
Level $1441$
Weight $2$
Character orbit 1441.bj
Rep. character $\chi_{1441}(3,\cdot)$
Character field $\Q(\zeta_{65})$
Dimension $6240$
Sturm bound $264$

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Defining parameters

Level: \( N \) \(=\) \( 1441 = 11 \cdot 131 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 1441.bj (of order \(65\) and degree \(48\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1441 \)
Character field: \(\Q(\zeta_{65})\)
Sturm bound: \(264\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1441, [\chi])\).

Total New Old
Modular forms 6432 6432 0
Cusp forms 6240 6240 0
Eisenstein series 192 192 0

Trace form

\( 6240 q - 40 q^{2} - 32 q^{3} + 90 q^{4} - 37 q^{5} - 54 q^{6} - 35 q^{7} - 42 q^{8} + 106 q^{9} + O(q^{10}) \) \( 6240 q - 40 q^{2} - 32 q^{3} + 90 q^{4} - 37 q^{5} - 54 q^{6} - 35 q^{7} - 42 q^{8} + 106 q^{9} - 108 q^{10} - 52 q^{11} - 42 q^{12} - 41 q^{13} - 24 q^{14} - 41 q^{15} + 88 q^{16} + 21 q^{17} - 34 q^{18} - 34 q^{19} + 77 q^{20} - 88 q^{21} - 75 q^{22} - 240 q^{23} - 69 q^{24} + 93 q^{25} + 147 q^{26} - 53 q^{27} - 56 q^{28} + 15 q^{29} - 17 q^{30} - 56 q^{31} + 4 q^{32} + 140 q^{33} - 118 q^{34} + 2 q^{35} + 51 q^{36} - 45 q^{37} - 28 q^{38} - 36 q^{39} - 233 q^{40} - 114 q^{41} - 34 q^{42} - 240 q^{43} + 91 q^{44} - 44 q^{45} - 30 q^{46} - 42 q^{47} - 91 q^{48} - 467 q^{49} - 25 q^{50} - 55 q^{51} + 47 q^{52} + 108 q^{53} - 231 q^{54} + 120 q^{55} - 129 q^{56} - 64 q^{57} + 18 q^{58} - 53 q^{59} + 124 q^{60} - 23 q^{61} - 551 q^{62} - 107 q^{63} + 42 q^{64} - 59 q^{65} - 121 q^{66} - 139 q^{67} + 54 q^{68} - 494 q^{69} - 198 q^{70} - 23 q^{71} - 381 q^{72} + 18 q^{73} + 105 q^{74} - 62 q^{75} - 297 q^{76} + 72 q^{77} - 89 q^{78} - 333 q^{79} + 147 q^{80} + 97 q^{81} - 91 q^{82} - 47 q^{83} - 13 q^{84} - 87 q^{85} - 4 q^{86} - 119 q^{87} - 151 q^{88} + 49 q^{89} + 142 q^{90} - 85 q^{91} + 92 q^{92} - 10 q^{93} + 212 q^{94} + 63 q^{95} - 11 q^{96} + 151 q^{97} + 5 q^{98} - 98 q^{99} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{2}^{\mathrm{new}}(1441, [\chi])\) into newform subspaces

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