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Properties

Label 1064.2.ea
Level $1064$
Weight $2$
Character orbit 1064.ea
Rep. character $\chi_{1064}(283,\cdot)$
Character field $\Q(\zeta_{18})$
Dimension $936$
Sturm bound $320$

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Defining parameters

Level: \( N \) \(=\) \( 1064 = 2^{3} \cdot 7 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 1064.ea (of order \(18\) and degree \(6\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1064 \)
Character field: \(\Q(\zeta_{18})\)
Sturm bound: \(320\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1064, [\chi])\).

Total New Old
Modular forms 984 984 0
Cusp forms 936 936 0
Eisenstein series 48 48 0

Trace form

\( 936 q - 3 q^{2} - 18 q^{3} - 3 q^{4} - 6 q^{8} - 6 q^{9} + O(q^{10}) \) \( 936 q - 3 q^{2} - 18 q^{3} - 3 q^{4} - 6 q^{8} - 6 q^{9} - 36 q^{10} + 6 q^{11} - 9 q^{12} + 6 q^{14} - 3 q^{16} - 18 q^{17} - 6 q^{18} - 18 q^{19} - 18 q^{22} - 9 q^{24} - 6 q^{25} - 9 q^{26} + 9 q^{28} - 6 q^{30} + 12 q^{32} - 18 q^{33} + 18 q^{35} + 57 q^{36} - 9 q^{38} - 54 q^{40} + 75 q^{42} - 24 q^{43} - 45 q^{44} + 18 q^{46} + 99 q^{48} - 6 q^{49} - 15 q^{50} - 6 q^{51} - 9 q^{52} - 27 q^{54} - 54 q^{56} - 24 q^{57} - 42 q^{58} - 18 q^{59} + 36 q^{60} + 45 q^{62} - 6 q^{64} - 12 q^{65} + 81 q^{66} - 6 q^{67} - 84 q^{70} - 156 q^{72} - 18 q^{73} + 69 q^{74} - 36 q^{75} - 81 q^{78} - 9 q^{80} - 42 q^{81} + 36 q^{82} + 75 q^{84} - 132 q^{86} + 90 q^{88} - 18 q^{89} - 18 q^{90} + 30 q^{91} - 54 q^{92} - 18 q^{94} - 171 q^{96} + 99 q^{98} - 78 q^{99} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{2}^{\mathrm{new}}(1064, [\chi])\) into newform subspaces

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