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Properties

Label 1064.2.bx
Level $1064$
Weight $2$
Character orbit 1064.bx
Rep. character $\chi_{1064}(107,\cdot)$
Character field $\Q(\zeta_{6})$
Dimension $312$
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.bx (of order \(6\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1064 \)
Character field: \(\Q(\zeta_{6})\)
Sturm bound: \(320\)

Dimensions

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

Total New Old
Modular forms 328 328 0
Cusp forms 312 312 0
Eisenstein series 16 16 0

Trace form

\( 312 q - 6 q^{3} - 2 q^{4} + 2 q^{6} + 150 q^{9} + O(q^{10}) \) \( 312 q - 6 q^{3} - 2 q^{4} + 2 q^{6} + 150 q^{9} - 4 q^{11} - 18 q^{12} - 18 q^{14} - 2 q^{16} + 2 q^{17} + 3 q^{18} - 2 q^{19} + 12 q^{20} - 2 q^{24} - 284 q^{25} + 5 q^{26} - q^{28} + q^{30} - 6 q^{34} + 56 q^{35} - 3 q^{36} + 40 q^{38} - 12 q^{41} - 40 q^{42} - 4 q^{43} + 4 q^{44} - 12 q^{46} - 39 q^{48} - 6 q^{51} - 3 q^{52} - 30 q^{54} + 15 q^{56} + 6 q^{57} - 17 q^{58} - 6 q^{59} + 18 q^{60} - 15 q^{62} - 14 q^{64} + 30 q^{65} + 18 q^{66} - 43 q^{68} - 24 q^{70} + 108 q^{72} - 6 q^{73} + 11 q^{74} - 6 q^{75} - 64 q^{76} - 69 q^{78} + 26 q^{80} - 128 q^{81} + 30 q^{82} - 16 q^{83} + 3 q^{84} + 72 q^{86} - 36 q^{88} - 6 q^{89} + 111 q^{90} + 36 q^{91} + 24 q^{94} + 74 q^{96} - 12 q^{97} - 9 q^{98} + 26 q^{99} + O(q^{100}) \)

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.