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Properties

Label 280.6.s
Level $280$
Weight $6$
Character orbit 280.s
Rep. character $\chi_{280}(13,\cdot)$
Character field $\Q(\zeta_{4})$
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.s (of order \(4\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 280 \)
Character field: \(\Q(i)\)
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

\( 472 q - 4 q^{2} - 4 q^{7} - 496 q^{8} + O(q^{10}) \) \( 472 q - 4 q^{2} - 4 q^{7} - 496 q^{8} - 8 q^{15} + 1512 q^{16} - 848 q^{18} + 124 q^{22} - 8 q^{23} - 8 q^{25} - 5924 q^{28} - 28724 q^{30} - 4824 q^{32} + 8184 q^{36} + 30320 q^{42} + 22912 q^{46} - 22860 q^{50} + 74176 q^{56} + 1936 q^{57} + 20852 q^{58} - 101888 q^{60} + 66252 q^{63} - 8 q^{65} - 351744 q^{70} + 287664 q^{71} + 386480 q^{72} - 325212 q^{78} - 2856264 q^{81} - 816328 q^{86} + 49008 q^{88} + 350376 q^{92} + 101840 q^{95} - 597800 q^{98} + O(q^{100}) \)

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.