Properties

Label 1280.2.bt
Level $1280$
Weight $2$
Character orbit 1280.bt
Rep. character $\chi_{1280}(3,\cdot)$
Character field $\Q(\zeta_{64})$
Dimension $6080$
Sturm bound $384$

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Defining parameters

Level: \( N \) \(=\) \( 1280 = 2^{8} \cdot 5 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 1280.bt (of order \(64\) and degree \(32\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1280 \)
Character field: \(\Q(\zeta_{64})\)
Sturm bound: \(384\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1280, [\chi])\).

Total New Old
Modular forms 6208 6208 0
Cusp forms 6080 6080 0
Eisenstein series 128 128 0

Trace form

\( 6080 q - 32 q^{2} - 32 q^{3} - 32 q^{5} - 64 q^{6} - 32 q^{7} - 32 q^{8} + O(q^{10}) \) \( 6080 q - 32 q^{2} - 32 q^{3} - 32 q^{5} - 64 q^{6} - 32 q^{7} - 32 q^{8} - 32 q^{10} - 64 q^{11} - 32 q^{12} - 32 q^{13} - 32 q^{15} - 64 q^{16} - 32 q^{17} - 32 q^{18} - 32 q^{20} - 64 q^{21} - 32 q^{22} - 32 q^{23} - 32 q^{25} - 64 q^{26} - 32 q^{27} - 32 q^{28} - 32 q^{30} - 64 q^{31} - 32 q^{32} - 32 q^{33} - 32 q^{35} - 64 q^{36} - 32 q^{37} - 32 q^{38} - 32 q^{40} - 64 q^{41} - 32 q^{42} - 32 q^{43} - 32 q^{45} - 64 q^{46} - 32 q^{47} - 32 q^{48} - 128 q^{50} - 64 q^{51} - 32 q^{52} - 32 q^{53} + 256 q^{54} - 32 q^{55} - 64 q^{56} - 32 q^{57} - 32 q^{58} + 352 q^{60} - 64 q^{61} - 32 q^{62} - 384 q^{64} - 32 q^{65} - 64 q^{66} - 32 q^{67} - 32 q^{68} - 416 q^{70} - 64 q^{71} - 32 q^{72} - 32 q^{73} + 384 q^{74} - 32 q^{75} - 64 q^{76} - 32 q^{77} - 32 q^{78} + 64 q^{80} - 64 q^{81} - 32 q^{82} - 32 q^{83} - 32 q^{85} - 64 q^{86} - 32 q^{87} - 32 q^{88} - 32 q^{90} - 64 q^{91} - 32 q^{92} - 32 q^{93} - 32 q^{95} - 64 q^{96} - 32 q^{97} - 32 q^{98} + O(q^{100}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(1280, [\chi])\) into newform subspaces

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