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Properties

Label 1441.2.h
Level $1441$
Weight $2$
Character orbit 1441.h
Rep. character $\chi_{1441}(53,\cdot)$
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.h (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

\( 520 q + q^{2} + 3 q^{3} - 129 q^{4} - 2 q^{5} - 30 q^{6} - 14 q^{7} + 3 q^{8} - 115 q^{9} + O(q^{10}) \) \( 520 q + q^{2} + 3 q^{3} - 129 q^{4} - 2 q^{5} - 30 q^{6} - 14 q^{7} + 3 q^{8} - 115 q^{9} + 4 q^{10} - 15 q^{11} + 16 q^{12} - 3 q^{13} + 15 q^{14} - 8 q^{15} - 127 q^{16} - 52 q^{17} - 5 q^{18} - 5 q^{19} + 4 q^{20} - 16 q^{21} + 33 q^{22} + 6 q^{23} + 30 q^{24} - 122 q^{25} - 68 q^{26} - 36 q^{27} + 22 q^{28} + 11 q^{29} - 17 q^{30} - 3 q^{31} - 108 q^{32} - 20 q^{33} + 14 q^{34} + 4 q^{35} + 530 q^{36} - 4 q^{37} - 11 q^{38} - 3 q^{39} - 16 q^{40} - 30 q^{41} - 29 q^{42} + 19 q^{43} - 4 q^{44} + 70 q^{45} + 21 q^{46} + 3 q^{47} - 63 q^{48} - 172 q^{49} - 34 q^{50} + 16 q^{51} - 86 q^{52} - 26 q^{53} + 10 q^{54} + 7 q^{55} + 25 q^{56} - 30 q^{57} + 39 q^{58} + 24 q^{59} + 45 q^{60} - 20 q^{61} - 8 q^{62} + 68 q^{63} - 141 q^{64} - 45 q^{65} - 11 q^{66} + 35 q^{67} + 11 q^{68} - 13 q^{69} + 64 q^{70} - 16 q^{71} + 14 q^{72} - 87 q^{73} - 4 q^{74} - 22 q^{75} - 2 q^{76} + 86 q^{77} + 11 q^{78} - 18 q^{79} + 22 q^{80} - 96 q^{81} - 38 q^{82} + 58 q^{83} + 26 q^{84} - 18 q^{85} - 35 q^{86} + 15 q^{87} - 26 q^{88} + 3 q^{89} + 72 q^{90} + 16 q^{91} - 131 q^{92} - 39 q^{93} + 91 q^{94} + 113 q^{95} + 12 q^{96} - 16 q^{97} - 5 q^{98} + 46 q^{99} + O(q^{100}) \)

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.