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Properties

Label 1441.2.m
Level $1441$
Weight $2$
Character orbit 1441.m
Rep. character $\chi_{1441}(864,\cdot)$
Character field $\Q(\zeta_{10})$
Dimension $520$
Sturm bound $264$

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Defining parameters

Level: \( N \) \(=\) \( 1441 = 11 \cdot 131 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 1441.m (of order \(10\) and degree \(4\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1441 \)
Character field: \(\Q(\zeta_{10})\)
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

\( 520 q - 5 q^{2} + 5 q^{3} - 129 q^{4} - 5 q^{6} + 5 q^{8} - 145 q^{9} + O(q^{10}) \) \( 520 q - 5 q^{2} + 5 q^{3} - 129 q^{4} - 5 q^{6} + 5 q^{8} - 145 q^{9} + 10 q^{10} - 8 q^{11} - 8 q^{12} + 5 q^{14} - 14 q^{15} - 127 q^{16} - 5 q^{18} + 15 q^{19} - 18 q^{20} + 20 q^{21} - 15 q^{22} + 10 q^{23} - 10 q^{24} - 132 q^{25} - 30 q^{26} - 22 q^{27} - 35 q^{28} - 10 q^{29} + 70 q^{30} - 15 q^{31} + 100 q^{32} + 87 q^{33} - 6 q^{34} + 95 q^{35} - 90 q^{36} + q^{38} - 15 q^{39} + 25 q^{40} - 5 q^{41} + 65 q^{42} - 15 q^{43} - 30 q^{44} - 38 q^{45} - 5 q^{46} - 15 q^{47} - 4 q^{48} - 516 q^{49} + 20 q^{50} + 50 q^{51} + 110 q^{52} - 3 q^{53} + 30 q^{54} - 66 q^{55} + 35 q^{56} + 35 q^{57} - 15 q^{58} - 32 q^{59} - 19 q^{60} + 20 q^{61} - 10 q^{62} + 50 q^{63} - 81 q^{64} + 65 q^{65} - 15 q^{66} - 35 q^{67} - 35 q^{68} - 25 q^{69} + 125 q^{70} + 30 q^{71} + 190 q^{72} + 25 q^{73} - 30 q^{74} - 57 q^{75} - 120 q^{76} + 62 q^{77} + 5 q^{78} - 40 q^{79} - 22 q^{80} - 120 q^{81} - 40 q^{83} + 130 q^{84} + 50 q^{85} + 105 q^{86} + 75 q^{87} + 5 q^{88} - 49 q^{89} - 45 q^{90} + 82 q^{91} + 5 q^{92} + 115 q^{93} - 15 q^{94} - 90 q^{95} - 40 q^{96} - 20 q^{97} - 15 q^{98} - 126 q^{99} + O(q^{100}) \)

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.