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Properties

Label 280.6.bf
Level $280$
Weight $6$
Character orbit 280.bf
Rep. character $\chi_{280}(109,\cdot)$
Character field $\Q(\zeta_{6})$
Dimension $472$
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.bf (of order \(6\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 280 \)
Character field: \(\Q(\zeta_{6})\)
Sturm bound: \(288\)

Dimensions

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

Total New Old
Modular forms 488 488 0
Cusp forms 472 472 0
Eisenstein series 16 16 0

Trace form

\( 472 q - 2 q^{4} + 120 q^{6} - 18472 q^{9} + O(q^{10}) \) \( 472 q - 2 q^{4} + 120 q^{6} - 18472 q^{9} - 204 q^{10} + 2546 q^{14} + 964 q^{15} - 382 q^{16} - 384 q^{20} - 488 q^{24} - 2 q^{25} + 5894 q^{26} + 10384 q^{30} - 23068 q^{31} - 29104 q^{34} - 26100 q^{36} - 976 q^{39} + 12128 q^{40} - 16 q^{41} + 19982 q^{44} + 2590 q^{46} - 8 q^{49} - 138432 q^{50} + 23924 q^{54} - 12508 q^{55} + 61892 q^{56} - 99330 q^{60} - 76748 q^{64} - 6252 q^{65} + 65536 q^{66} - 85418 q^{70} - 143856 q^{71} + 152174 q^{74} - 189924 q^{76} - 4 q^{79} - 33560 q^{80} - 1294580 q^{81} - 154700 q^{84} + 119624 q^{86} - 3164 q^{89} + 517464 q^{90} + 127610 q^{94} - 31714 q^{95} - 340560 q^{96} + O(q^{100}) \)

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.