Properties

Label 1064.2.cr
Level $1064$
Weight $2$
Character orbit 1064.cr
Rep. character $\chi_{1064}(619,\cdot)$
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.cr (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

\( 312 q - 2 q^{2} - 6 q^{3} - 2 q^{4} - 12 q^{6} - 2 q^{8} + 150 q^{9} + O(q^{10}) \) \( 312 q - 2 q^{2} - 6 q^{3} - 2 q^{4} - 12 q^{6} - 2 q^{8} + 150 q^{9} - 4 q^{11} - 6 q^{12} + 4 q^{14} - 2 q^{16} - 6 q^{17} - 9 q^{18} - 6 q^{19} - 12 q^{24} + 276 q^{25} - 15 q^{26} + 7 q^{28} + 7 q^{30} + 8 q^{32} - 12 q^{34} - 60 q^{35} - 3 q^{36} + 6 q^{38} + 4 q^{42} - 4 q^{43} - 18 q^{44} - 8 q^{46} - 51 q^{48} - 34 q^{50} - 22 q^{51} + 21 q^{52} + 23 q^{56} + 6 q^{57} + 27 q^{58} - 6 q^{59} + 20 q^{60} + 51 q^{62} + 34 q^{64} + 6 q^{65} - 52 q^{67} + 9 q^{68} - 90 q^{70} + 20 q^{72} + 18 q^{73} + 19 q^{74} - 42 q^{75} - 36 q^{76} + 11 q^{78} - 128 q^{81} - 30 q^{82} - 65 q^{84} - 14 q^{86} - 30 q^{88} - 6 q^{89} + 135 q^{90} - 16 q^{91} + 40 q^{92} - 42 q^{94} + 96 q^{96} + 53 q^{98} + 26 q^{99} + O(q^{100}) \)

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

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