↑

Properties

Label 1441.2.bb
Level $1441$
Weight $2$
Character orbit 1441.bb
Rep. character $\chi_{1441}(304,\cdot)$
Character field $\Q(\zeta_{10})$
Dimension $520$
Sturm bound $264$

Related objects

Downloads

Learn more

Defining parameters

Level: \( N \) \(=\) \( 1441 = 11 \cdot 131 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 1441.bb (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

\( 520 q - 10 q^{2} + 5 q^{3} + 506 q^{4} - 5 q^{5} - 15 q^{6} - 20 q^{7} - 30 q^{8} - 145 q^{9} + O(q^{10}) \) \( 520 q - 10 q^{2} + 5 q^{3} + 506 q^{4} - 5 q^{5} - 15 q^{6} - 20 q^{7} - 30 q^{8} - 145 q^{9} - 8 q^{11} - 8 q^{12} - 5 q^{13} - 15 q^{14} + 11 q^{15} + 478 q^{16} + 10 q^{17} + 35 q^{18} - 28 q^{20} - 10 q^{22} - 30 q^{23} - 30 q^{24} - 97 q^{25} - 100 q^{26} - 7 q^{27} - 25 q^{28} - 5 q^{29} + 15 q^{30} - 25 q^{31} - 60 q^{32} - 28 q^{33} - 26 q^{34} - 125 q^{36} - 5 q^{37} + 6 q^{38} - 5 q^{39} - 30 q^{40} + 105 q^{41} - 15 q^{42} - 50 q^{43} - 8 q^{45} + 5 q^{46} - 20 q^{47} - 14 q^{48} + 74 q^{49} - 15 q^{50} + 45 q^{51} + 10 q^{52} + 12 q^{53} + 75 q^{54} + 34 q^{55} - 85 q^{56} - 80 q^{57} + 15 q^{58} - 42 q^{59} - 14 q^{60} + 20 q^{61} - 10 q^{62} - 45 q^{63} + 434 q^{64} - 35 q^{65} - 40 q^{66} - 5 q^{67} + 5 q^{68} + 75 q^{69} - 70 q^{70} + 45 q^{72} + 50 q^{73} - 80 q^{74} - 12 q^{75} - 55 q^{76} - 83 q^{77} - 65 q^{78} - 40 q^{79} - 72 q^{80} - 105 q^{81} - 40 q^{82} + 40 q^{83} - 75 q^{84} - 20 q^{85} - 40 q^{86} + 30 q^{87} - 70 q^{88} + 6 q^{89} - 110 q^{90} + 57 q^{91} - 185 q^{92} + 40 q^{93} - 95 q^{94} + 40 q^{95} - 120 q^{96} - 25 q^{98} + 9 q^{99} + O(q^{100}) \)

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.