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Properties

Label 280.6.bv
Level $280$
Weight $6$
Character orbit 280.bv
Rep. character $\chi_{280}(117,\cdot)$
Character field $\Q(\zeta_{12})$
Dimension $944$
Sturm bound $288$

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Defining parameters

Level: \( N \) \(=\) \( 280 = 2^{3} \cdot 5 \cdot 7 \)
Weight: \( k \) \(=\) \( 6 \)
Character orbit: \([\chi]\) \(=\) 280.bv (of order \(12\) and degree \(4\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 280 \)
Character field: \(\Q(\zeta_{12})\)
Sturm bound: \(288\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{6}(280, [\chi])\).

Total New Old
Modular forms 976 976 0
Cusp forms 944 944 0
Eisenstein series 32 32 0

Trace form

\( 944 q - 2 q^{2} - 8 q^{7} + 484 q^{8} + O(q^{10}) \) \( 944 q - 2 q^{2} - 8 q^{7} + 484 q^{8} - 6 q^{10} - 6 q^{12} - 16 q^{15} + 756 q^{16} - 12 q^{17} - 616 q^{18} - 136 q^{22} - 4 q^{23} - 4 q^{25} - 12 q^{26} - 27730 q^{28} + 9968 q^{30} - 24 q^{31} + 4818 q^{32} - 12 q^{33} - 8208 q^{36} - 41244 q^{38} + 88854 q^{40} + 16330 q^{42} - 22924 q^{46} + 195756 q^{47} + 208188 q^{50} + 80712 q^{52} + 5132 q^{56} - 1960 q^{57} + 125302 q^{58} - 157114 q^{60} - 66264 q^{63} - 4 q^{65} - 284484 q^{66} + 291780 q^{68} - 70452 q^{70} - 287712 q^{71} + 109012 q^{72} - 12 q^{73} + 686136 q^{78} - 431952 q^{80} + 2587200 q^{81} + 377526 q^{82} - 132944 q^{86} - 2928 q^{87} - 319620 q^{88} - 350388 q^{92} + 13420 q^{95} + 915168 q^{96} - 184330 q^{98} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{6}^{\mathrm{new}}(280, [\chi])\) into newform subspaces

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