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Properties

Label 1449.2.ce
Level $1449$
Weight $2$
Character orbit 1449.ce
Rep. character $\chi_{1449}(59,\cdot)$
Character field $\Q(\zeta_{66})$
Dimension $3760$
Sturm bound $384$

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Defining parameters

Level: \( N \) \(=\) \( 1449 = 3^{2} \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 1449.ce (of order \(66\) and degree \(20\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1449 \)
Character field: \(\Q(\zeta_{66})\)
Sturm bound: \(384\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1449, [\chi])\).

Total New Old
Modular forms 3920 3920 0
Cusp forms 3760 3760 0
Eisenstein series 160 160 0

Trace form

\( 3760 q - 27 q^{2} - 27 q^{3} - 175 q^{4} - 54 q^{5} + 12 q^{6} - 9 q^{7} - 13 q^{9} + O(q^{10}) \) \( 3760 q - 27 q^{2} - 27 q^{3} - 175 q^{4} - 54 q^{5} + 12 q^{6} - 9 q^{7} - 13 q^{9} - 54 q^{10} - 27 q^{12} - 39 q^{14} - 46 q^{15} + 189 q^{16} - 65 q^{18} - 54 q^{19} + 12 q^{20} - 31 q^{21} - 48 q^{22} - 114 q^{24} - 362 q^{25} - 12 q^{26} + 81 q^{27} - 32 q^{28} - 18 q^{29} + 85 q^{30} - 27 q^{31} - 51 q^{32} - 51 q^{33} + 12 q^{34} + 30 q^{35} - 16 q^{36} - 18 q^{37} - 174 q^{38} - 13 q^{39} + 12 q^{41} + 4 q^{42} - 18 q^{43} - 102 q^{44} - 96 q^{45} - 18 q^{46} - 96 q^{47} - 96 q^{48} - 117 q^{49} - 23 q^{51} + 48 q^{53} + 9 q^{54} - 69 q^{56} + 6 q^{57} - 2 q^{58} + 3 q^{59} - 7 q^{60} - 63 q^{61} + 24 q^{62} - 76 q^{63} + 256 q^{64} - 288 q^{65} - 63 q^{66} + 9 q^{67} - 120 q^{68} + 12 q^{69} + 26 q^{70} + 71 q^{72} - 54 q^{73} + 3 q^{75} - 81 q^{77} - 130 q^{78} + 9 q^{79} - 24 q^{80} - 73 q^{81} - 66 q^{82} - 174 q^{84} - 28 q^{85} + 285 q^{87} + 110 q^{88} - 84 q^{89} - 96 q^{90} - 52 q^{91} - 96 q^{92} - 46 q^{93} - 27 q^{94} + 33 q^{95} - 57 q^{96} - 90 q^{98} + 172 q^{99} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{2}^{\mathrm{new}}(1449, [\chi])\) into newform subspaces

The newforms in this space have not yet been added to the LMFDB.