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Properties

Label 1280.2.bw
Level $1280$
Weight $2$
Character orbit 1280.bw
Rep. character $\chi_{1280}(29,\cdot)$
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.bw (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

\( 6080 q - 64 q^{4} - 32 q^{5} - 64 q^{6} - 64 q^{9} + O(q^{10}) \) \( 6080 q - 64 q^{4} - 32 q^{5} - 64 q^{6} - 64 q^{9} - 32 q^{10} - 64 q^{11} - 64 q^{14} - 32 q^{15} - 64 q^{16} - 64 q^{19} - 32 q^{20} - 64 q^{21} - 64 q^{24} - 32 q^{25} - 64 q^{26} - 64 q^{29} - 32 q^{30} - 64 q^{31} - 64 q^{34} - 32 q^{35} - 64 q^{36} - 64 q^{39} - 32 q^{40} - 64 q^{41} - 64 q^{44} - 32 q^{45} - 64 q^{46} - 64 q^{49} - 32 q^{50} - 64 q^{51} - 64 q^{54} - 32 q^{55} - 64 q^{56} - 64 q^{59} - 32 q^{60} - 64 q^{61} - 64 q^{64} - 32 q^{65} - 64 q^{66} - 64 q^{69} - 32 q^{70} - 64 q^{71} - 64 q^{74} - 32 q^{75} - 64 q^{76} - 64 q^{79} - 32 q^{80} - 64 q^{81} - 64 q^{84} - 32 q^{85} - 64 q^{86} - 64 q^{89} - 32 q^{90} - 64 q^{91} - 64 q^{94} - 32 q^{95} - 64 q^{96} - 64 q^{99} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

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

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