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Properties

Label 1456.2.gv
Level $1456$
Weight $2$
Character orbit 1456.gv
Rep. character $\chi_{1456}(5,\cdot)$
Character field $\Q(\zeta_{12})$
Dimension $880$
Sturm bound $448$

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Defining parameters

Level: \( N \) \(=\) \( 1456 = 2^{4} \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 1456.gv (of order \(12\) and degree \(4\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1456 \)
Character field: \(\Q(\zeta_{12})\)
Sturm bound: \(448\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1456, [\chi])\).

Total New Old
Modular forms 912 912 0
Cusp forms 880 880 0
Eisenstein series 32 32 0

Trace form

\( 880 q - 2 q^{2} - 12 q^{3} - 12 q^{5} - 8 q^{8} + O(q^{10}) \) \( 880 q - 2 q^{2} - 12 q^{3} - 12 q^{5} - 8 q^{8} + 24 q^{14} - 16 q^{15} - 4 q^{16} - 16 q^{18} - 16 q^{22} - 60 q^{24} + 408 q^{25} - 18 q^{26} - 18 q^{28} - 16 q^{29} + 20 q^{30} - 12 q^{31} - 12 q^{32} - 12 q^{33} - 8 q^{35} - 40 q^{36} - 60 q^{38} + 108 q^{40} - 28 q^{42} - 26 q^{44} - 4 q^{46} - 12 q^{47} - 56 q^{50} - 60 q^{52} - 4 q^{53} - 30 q^{54} - 20 q^{56} + 24 q^{57} - 22 q^{58} + 36 q^{60} - 12 q^{61} - 36 q^{63} - 96 q^{64} - 4 q^{65} - 72 q^{66} - 12 q^{68} - 50 q^{70} - 26 q^{72} - 60 q^{74} - 60 q^{75} - 28 q^{77} - 28 q^{78} - 8 q^{79} - 66 q^{80} + 368 q^{81} - 60 q^{82} + 14 q^{84} - 50 q^{86} + 32 q^{88} - 16 q^{91} + 16 q^{92} + 60 q^{94} - 66 q^{96} + 2 q^{98} - 112 q^{99} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{2}^{\mathrm{new}}(1456, [\chi])\) into newform subspaces

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