Properties

Label 1080.6.bx
Level $1080$
Weight $6$
Character orbit 1080.bx
Rep. character $\chi_{1080}(59,\cdot)$
Character field $\Q(\zeta_{18})$
Dimension $6456$
Sturm bound $1296$

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Defining parameters

Level: \( N \) \(=\) \( 1080 = 2^{3} \cdot 3^{3} \cdot 5 \)
Weight: \( k \) \(=\) \( 6 \)
Character orbit: \([\chi]\) \(=\) 1080.bx (of order \(18\) and degree \(6\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1080 \)
Character field: \(\Q(\zeta_{18})\)
Sturm bound: \(1296\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{6}(1080, [\chi])\).

Total New Old
Modular forms 6504 6504 0
Cusp forms 6456 6456 0
Eisenstein series 48 48 0

Trace form

\( 6456 q - 12 q^{4} - 12 q^{6} - 24 q^{9} + O(q^{10}) \) \( 6456 q - 12 q^{4} - 12 q^{6} - 24 q^{9} - 3 q^{10} - 24 q^{11} - 12 q^{14} - 12 q^{16} - 12 q^{19} - 1245 q^{20} + 1446 q^{24} - 12 q^{25} - 735 q^{30} + 180 q^{34} - 18 q^{35} - 12 q^{36} - 9381 q^{40} - 24 q^{41} - 158058 q^{44} - 6 q^{46} - 24 q^{49} - 96024 q^{50} + 2892 q^{51} - 231432 q^{54} - 244074 q^{56} - 24 q^{59} - 326058 q^{60} - 6 q^{64} - 12 q^{65} - 28962 q^{66} + 50511 q^{70} + 258522 q^{74} - 191616 q^{75} + 6132 q^{76} - 24 q^{81} - 154530 q^{84} + 280098 q^{86} - 36 q^{89} + 52686 q^{90} - 12 q^{91} - 12 q^{94} + 134718 q^{96} - 24 q^{99} + O(q^{100}) \)

Decomposition of \(S_{6}^{\mathrm{new}}(1080, [\chi])\) into newform subspaces

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