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Properties

Label 1064.2.ch
Level $1064$
Weight $2$
Character orbit 1064.ch
Rep. character $\chi_{1064}(83,\cdot)$
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.ch (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

\( 312 q - 2 q^{2} - 2 q^{4} - 20 q^{8} + 144 q^{9} + O(q^{10}) \) \( 312 q - 2 q^{2} - 2 q^{4} - 20 q^{8} + 144 q^{9} - 16 q^{11} + 4 q^{14} - 2 q^{16} - 12 q^{18} - 6 q^{22} - 144 q^{25} + 16 q^{28} - 8 q^{30} + 8 q^{32} + 12 q^{35} - 38 q^{42} - 4 q^{43} + 12 q^{44} - 56 q^{46} - 24 q^{49} + 44 q^{50} - 28 q^{51} + 68 q^{56} - 36 q^{57} - 36 q^{58} + 2 q^{60} - 20 q^{64} + 24 q^{65} - 52 q^{67} - 12 q^{70} - 118 q^{72} + 16 q^{74} - 4 q^{78} - 116 q^{81} - 56 q^{84} + 28 q^{86} - 48 q^{88} - 16 q^{91} - 44 q^{92} - 34 q^{98} - 64 q^{99} + O(q^{100}) \)

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.