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Properties

Label 1441.2.j
Level $1441$
Weight $2$
Character orbit 1441.j
Rep. character $\chi_{1441}(192,\cdot)$
Character field $\Q(\zeta_{5})$
Dimension $520$
Sturm bound $264$

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Defining parameters

Level: \( N \) \(=\) \( 1441 = 11 \cdot 131 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 1441.j (of order \(5\) and degree \(4\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1441 \)
Character field: \(\Q(\zeta_{5})\)
Sturm bound: \(264\)

Dimensions

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

Total New Old
Modular forms 536 536 0
Cusp forms 520 520 0
Eisenstein series 16 16 0

Trace form

\( 520 q - 14 q^{2} - 7 q^{3} + 506 q^{4} + 3 q^{5} - 5 q^{6} - 14 q^{7} - 42 q^{8} - 145 q^{9} + O(q^{10}) \) \( 520 q - 14 q^{2} - 7 q^{3} + 506 q^{4} + 3 q^{5} - 5 q^{6} - 14 q^{7} - 42 q^{8} - 145 q^{9} - 6 q^{10} - 44 q^{12} + 7 q^{13} - 15 q^{14} + 7 q^{15} + 478 q^{16} + 8 q^{17} - 25 q^{18} + 10 q^{19} + 4 q^{20} + 4 q^{21} - 12 q^{22} - 24 q^{23} + 20 q^{24} - 97 q^{25} - 8 q^{26} + 29 q^{27} - 73 q^{28} + 11 q^{29} + 63 q^{30} - 13 q^{31} - 68 q^{32} + 40 q^{33} + 4 q^{34} + 4 q^{35} - 125 q^{36} + 11 q^{37} - 6 q^{38} - 3 q^{39} + 14 q^{40} - 65 q^{41} + 81 q^{42} - 16 q^{43} - 24 q^{44} - 120 q^{45} + q^{46} - 2 q^{47} - 98 q^{48} - 162 q^{49} + q^{50} - 19 q^{51} + 14 q^{52} - 16 q^{53} - 95 q^{54} + 12 q^{55} - 45 q^{56} + 20 q^{57} - q^{58} + 54 q^{59} - 30 q^{60} + 10 q^{61} + 22 q^{62} + 13 q^{63} + 434 q^{64} - 25 q^{65} - 6 q^{66} - 25 q^{67} + 21 q^{68} + 7 q^{69} - 6 q^{70} + 14 q^{71} - 51 q^{72} - 2 q^{73} - 24 q^{74} + 28 q^{75} + 63 q^{76} - 19 q^{77} - 29 q^{78} - 18 q^{79} - 8 q^{80} - 121 q^{81} - 8 q^{82} + 28 q^{83} + 81 q^{84} + 32 q^{85} + 30 q^{86} + 10 q^{87} - 106 q^{88} + 8 q^{89} + 22 q^{90} - 9 q^{91} - 121 q^{92} + 46 q^{93} + q^{94} + 58 q^{95} - 88 q^{96} - 16 q^{97} + 15 q^{98} - 249 q^{99} + O(q^{100}) \)

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.