Properties

Label 1064.2.f
Level $1064$
Weight $2$
Character orbit 1064.f
Rep. character $\chi_{1064}(797,\cdot)$
Character field $\Q$
Dimension $156$
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.f (of order \(2\) and degree \(1\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1064 \)
Character field: \(\Q\)
Sturm bound: \(320\)

Dimensions

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

Total New Old
Modular forms 164 164 0
Cusp forms 156 156 0
Eisenstein series 8 8 0

Trace form

\( 156 q - 4 q^{4} - 4 q^{7} - 156 q^{9} + O(q^{10}) \) \( 156 q - 4 q^{4} - 4 q^{7} - 156 q^{9} - 4 q^{16} - 8 q^{23} + 132 q^{25} - 6 q^{28} - 4 q^{30} + 32 q^{36} + 16 q^{39} + 54 q^{42} + 56 q^{44} + 12 q^{49} - 8 q^{57} - 64 q^{58} - 20 q^{63} + 56 q^{64} - 40 q^{74} + 140 q^{81} - 32 q^{92} + O(q^{100}) \)

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

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