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Properties

Label 1064.2.x
Level $1064$
Weight $2$
Character orbit 1064.x
Rep. character $\chi_{1064}(829,\cdot)$
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.x (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

\( 312 q - 3 q^{2} + q^{4} + 12 q^{6} - 8 q^{7} - 300 q^{9} + O(q^{10}) \) \( 312 q - 3 q^{2} + q^{4} + 12 q^{6} - 8 q^{7} - 300 q^{9} + 6 q^{10} - 3 q^{14} - 12 q^{15} + q^{16} - 3 q^{18} - 12 q^{22} - 4 q^{23} - 138 q^{25} + 3 q^{26} + 24 q^{28} + 7 q^{30} - 18 q^{32} - 6 q^{33} - 23 q^{36} - 24 q^{38} - 10 q^{39} - 18 q^{40} + 42 q^{42} + 4 q^{44} - 12 q^{46} - 33 q^{48} - 6 q^{52} - 33 q^{54} + 30 q^{55} - 45 q^{56} - 10 q^{57} + 31 q^{58} - 93 q^{62} + 8 q^{63} - 14 q^{64} + 30 q^{65} - 105 q^{66} - 21 q^{68} - 39 q^{70} - 12 q^{71} + 34 q^{74} + 12 q^{76} + 75 q^{78} - 6 q^{79} + 15 q^{80} + 256 q^{81} - 3 q^{84} + 6 q^{87} - 36 q^{88} - 12 q^{89} + 39 q^{90} - 16 q^{92} + 36 q^{94} + 30 q^{95} - 108 q^{96} - 30 q^{98} + O(q^{100}) \)

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.