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Properties

Label 1441.2.q
Level $1441$
Weight $2$
Character orbit 1441.q
Rep. character $\chi_{1441}(173,\cdot)$
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.q (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

\( 520 q - 5 q^{2} - 10 q^{3} - 129 q^{4} - 15 q^{6} - 5 q^{8} + 510 q^{9} + O(q^{10}) \) \( 520 q - 5 q^{2} - 10 q^{3} - 129 q^{4} - 15 q^{6} - 5 q^{8} + 510 q^{9} + 7 q^{11} - 8 q^{12} + 5 q^{13} - 44 q^{15} - 117 q^{16} + 5 q^{17} - 35 q^{18} + 27 q^{20} - 30 q^{22} - 30 q^{23} + 30 q^{24} + 448 q^{25} + 50 q^{26} - 52 q^{27} - 15 q^{28} - 5 q^{29} - 25 q^{30} + 60 q^{32} + 2 q^{33} - 26 q^{34} - 75 q^{35} - 100 q^{36} - 20 q^{37} + 6 q^{38} - 5 q^{39} - 60 q^{40} - 25 q^{41} + 50 q^{43} - 5 q^{44} - 8 q^{45} + 20 q^{47} + 16 q^{48} + 124 q^{49} - 40 q^{50} - 45 q^{51} + 10 q^{52} + 22 q^{53} - 75 q^{54} - 46 q^{55} - 85 q^{56} - 65 q^{57} - 50 q^{58} + 3 q^{59} - 14 q^{60} - 10 q^{62} - 45 q^{63} - 91 q^{64} + 35 q^{65} + 40 q^{66} - 5 q^{67} - 5 q^{68} - 75 q^{69} + 45 q^{73} - 62 q^{75} + 55 q^{76} - 48 q^{77} - 65 q^{78} + 40 q^{79} - 72 q^{80} + 480 q^{81} + 50 q^{82} - 60 q^{83} - 75 q^{84} + 55 q^{85} + 40 q^{86} - 30 q^{87} + 105 q^{88} + 6 q^{89} + 10 q^{90} + 17 q^{91} + 185 q^{92} + 10 q^{95} + 80 q^{96} + 25 q^{98} + 9 q^{99} + O(q^{100}) \)

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.