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Properties

Label 1064.2.dw
Level $1064$
Weight $2$
Character orbit 1064.dw
Rep. character $\chi_{1064}(155,\cdot)$
Character field $\Q(\zeta_{18})$
Dimension $720$
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.dw (of order \(18\) and degree \(6\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 152 \)
Character field: \(\Q(\zeta_{18})\)
Sturm bound: \(320\)

Dimensions

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

Total New Old
Modular forms 984 720 264
Cusp forms 936 720 216
Eisenstein series 48 0 48

Trace form

\( 720 q + 12 q^{4} - 12 q^{6} + O(q^{10}) \) \( 720 q + 12 q^{4} - 12 q^{6} + 12 q^{10} - 12 q^{16} - 60 q^{20} + 42 q^{24} - 48 q^{26} + 6 q^{30} + 30 q^{32} - 108 q^{34} - 48 q^{36} - 84 q^{38} + 114 q^{40} + 24 q^{41} + 60 q^{44} + 36 q^{48} + 360 q^{49} - 48 q^{51} + 78 q^{52} + 48 q^{54} + 72 q^{58} - 66 q^{60} - 90 q^{62} - 84 q^{64} - 96 q^{66} + 36 q^{68} - 36 q^{70} - 42 q^{72} - 96 q^{74} - 72 q^{76} - 156 q^{78} - 114 q^{80} - 24 q^{81} + 60 q^{82} - 60 q^{86} - 144 q^{88} - 96 q^{90} + 42 q^{92} - 96 q^{96} + O(q^{100}) \)

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.

Decomposition of \(S_{2}^{\mathrm{old}}(1064, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(1064, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(152, [\chi])\)\(^{\oplus 2}\)