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Properties

Label 1064.2.u
Level $1064$
Weight $2$
Character orbit 1064.u
Rep. character $\chi_{1064}(467,\cdot)$
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.u (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

\( 312 q + q^{2} + q^{4} + 12 q^{6} - 2 q^{8} - 300 q^{9} + O(q^{10}) \) \( 312 q + q^{2} + q^{4} + 12 q^{6} - 2 q^{8} - 300 q^{9} + 6 q^{10} - 4 q^{11} - 6 q^{12} - 11 q^{14} + q^{16} - 9 q^{18} - 6 q^{19} - 138 q^{25} - 15 q^{26} - 26 q^{28} + 7 q^{30} - 4 q^{32} - 6 q^{33} + 12 q^{34} + 42 q^{35} - 3 q^{36} + 36 q^{38} + 12 q^{40} - 20 q^{42} - 4 q^{43} + 36 q^{44} - 8 q^{46} + 51 q^{48} - 34 q^{50} + 44 q^{51} - 33 q^{54} + 23 q^{56} + 6 q^{57} + 27 q^{58} - 40 q^{60} - 51 q^{62} + 34 q^{64} + 6 q^{65} - 69 q^{66} + 26 q^{67} + 9 q^{68} + 9 q^{70} - 40 q^{72} - 38 q^{74} - 42 q^{75} + 36 q^{76} + 11 q^{78} - 21 q^{80} + 256 q^{81} - 65 q^{84} + 28 q^{86} - 30 q^{88} - 135 q^{90} - 16 q^{91} + 40 q^{92} - 42 q^{94} + 96 q^{96} - 10 q^{98} + 26 q^{99} + O(q^{100}) \)

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.