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Properties

Label 1441.2.bk
Level $1441$
Weight $2$
Character orbit 1441.bk
Rep. character $\chi_{1441}(60,\cdot)$
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.bk (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

\( 6240 q - 35 q^{2} - 37 q^{3} + 95 q^{4} - 37 q^{5} - 39 q^{6} - 35 q^{7} - 47 q^{8} + 81 q^{9} + O(q^{10}) \) \( 6240 q - 35 q^{2} - 37 q^{3} + 95 q^{4} - 37 q^{5} - 39 q^{6} - 35 q^{7} - 47 q^{8} + 81 q^{9} - 88 q^{10} - 52 q^{11} - 42 q^{12} - 41 q^{13} - 29 q^{14} - 41 q^{15} + 83 q^{16} + 31 q^{17} - 69 q^{18} - 39 q^{19} - 218 q^{20} - 128 q^{21} - 20 q^{22} - 100 q^{23} - 39 q^{24} + 73 q^{25} + 177 q^{26} - 13 q^{27} - 61 q^{28} - 45 q^{29} - 47 q^{30} - 41 q^{31} - 96 q^{32} - 140 q^{33} - 168 q^{34} - 38 q^{35} + 171 q^{36} - 45 q^{37} + 17 q^{38} - 71 q^{39} + 97 q^{40} - 19 q^{41} - 84 q^{42} - 10 q^{43} + 131 q^{44} - 44 q^{45} - 5 q^{46} - 27 q^{47} - 81 q^{48} + 123 q^{49} - 45 q^{50} - 95 q^{51} - 3 q^{52} + 68 q^{53} + 74 q^{54} + 90 q^{55} - 164 q^{56} - 59 q^{57} - 52 q^{58} - 23 q^{59} - 291 q^{60} - 58 q^{61} + 49 q^{62} - 57 q^{63} + 127 q^{64} - 124 q^{65} - 106 q^{66} - 84 q^{67} - 221 q^{68} + 291 q^{69} - 958 q^{70} - 13 q^{71} - 491 q^{72} + 28 q^{73} - 190 q^{74} - 17 q^{75} - 62 q^{76} - 158 q^{77} - 284 q^{78} + 147 q^{79} - 293 q^{80} + 167 q^{81} - 51 q^{82} - 7 q^{83} + 17 q^{84} - 422 q^{85} - 19 q^{86} - 64 q^{87} - 156 q^{88} - 96 q^{89} + 57 q^{90} - 15 q^{91} - 63 q^{92} - 25 q^{93} + 227 q^{94} - 67 q^{95} - 131 q^{96} - 414 q^{97} + 20 q^{98} - 148 q^{99} + O(q^{100}) \)

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.