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Properties

Label 1441.2.bx
Level $1441$
Weight $2$
Character orbit 1441.bx
Rep. character $\chi_{1441}(29,\cdot)$
Character field $\Q(\zeta_{130})$
Dimension $6240$
Sturm bound $264$

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Defining parameters

Level: \( N \) \(=\) \( 1441 = 11 \cdot 131 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 1441.bx (of order \(130\) and degree \(48\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1441 \)
Character field: \(\Q(\zeta_{130})\)
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

\( 6240 q - 60 q^{2} - 29 q^{3} + 90 q^{4} - 39 q^{5} - 50 q^{6} - 65 q^{7} - 60 q^{8} - 549 q^{9} + O(q^{10}) \) \( 6240 q - 60 q^{2} - 29 q^{3} + 90 q^{4} - 39 q^{5} - 50 q^{6} - 65 q^{7} - 60 q^{8} - 549 q^{9} - 59 q^{11} + 21 q^{12} - 70 q^{13} - 39 q^{14} + 5 q^{15} + 78 q^{16} - 70 q^{17} - 30 q^{18} - 65 q^{19} + 64 q^{20} - 22 q^{22} - 204 q^{23} - 95 q^{24} - 487 q^{25} + 119 q^{26} + 13 q^{27} - 50 q^{28} - 60 q^{29} - 40 q^{30} - 39 q^{31} - 60 q^{32} - 15 q^{33} - 78 q^{34} + 10 q^{35} + 61 q^{36} - 19 q^{37} - 45 q^{38} - 60 q^{39} - 330 q^{40} - 40 q^{41} - 50 q^{43} - 411 q^{44} + 99 q^{45} - 65 q^{46} - 59 q^{47} - 55 q^{48} - 163 q^{49} - 25 q^{50} - 20 q^{51} - 75 q^{52} + 160 q^{53} + 75 q^{54} + 85 q^{55} - 19 q^{56} - 28 q^{58} - 42 q^{59} - 233 q^{60} - 65 q^{61} - 55 q^{62} - 20 q^{63} + 52 q^{64} - 35 q^{65} - 92 q^{66} - 99 q^{67} - 60 q^{68} - 432 q^{69} - 39 q^{71} - 65 q^{72} - 110 q^{73} + 260 q^{74} + 23 q^{75} - 55 q^{76} - 4 q^{77} - 65 q^{78} + 415 q^{79} - 175 q^{80} - 519 q^{81} - 89 q^{82} - 5 q^{83} + 10 q^{84} - 120 q^{85} - 79 q^{86} + 30 q^{87} - 157 q^{88} - 279 q^{89} - 75 q^{90} - 56 q^{91} - 224 q^{92} - 39 q^{93} - 65 q^{94} - 75 q^{95} - 145 q^{96} + 312 q^{97} - 285 q^{98} - 61 q^{99} + O(q^{100}) \)

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.