Properties

Label 2240.2.ez
Level $2240$
Weight $2$
Character orbit 2240.ez
Rep. character $\chi_{2240}(107,\cdot)$
Character field $\Q(\zeta_{48})$
Dimension $6080$
Sturm bound $768$

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Defining parameters

Level: \( N \) \(=\) \( 2240 = 2^{6} \cdot 5 \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2240.ez (of order \(48\) and degree \(16\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 2240 \)
Character field: \(\Q(\zeta_{48})\)
Sturm bound: \(768\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2240, [\chi])\).

Total New Old
Modular forms 6208 6208 0
Cusp forms 6080 6080 0
Eisenstein series 128 128 0

Trace form

\( 6080q - 8q^{2} - 8q^{3} - 8q^{5} - 64q^{6} - 16q^{7} - 32q^{8} + O(q^{10}) \) \( 6080q - 8q^{2} - 8q^{3} - 8q^{5} - 64q^{6} - 16q^{7} - 32q^{8} - 8q^{10} - 16q^{11} - 8q^{12} - 32q^{13} - 64q^{14} - 32q^{15} - 16q^{16} - 16q^{17} - 8q^{18} - 32q^{20} - 32q^{21} - 32q^{22} - 8q^{23} - 8q^{25} - 16q^{26} - 32q^{27} - 16q^{28} + 56q^{30} - 32q^{31} - 8q^{32} + 64q^{34} - 16q^{35} - 64q^{36} - 8q^{37} - 8q^{38} - 136q^{40} - 64q^{41} - 16q^{42} - 32q^{43} + 16q^{45} - 16q^{46} - 32q^{48} - 32q^{50} - 16q^{51} - 8q^{52} - 8q^{53} - 32q^{55} - 32q^{56} - 32q^{57} + 56q^{58} - 8q^{60} - 16q^{61} - 16q^{65} + 80q^{66} - 8q^{67} + 56q^{68} - 16q^{70} + 64q^{71} - 8q^{72} - 8q^{73} - 8q^{75} - 64q^{76} - 16q^{77} - 336q^{78} - 8q^{80} - 16q^{81} - 88q^{82} - 32q^{83} + 48q^{85} - 16q^{86} - 8q^{87} - 96q^{88} - 32q^{90} - 32q^{91} - 176q^{92} + 40q^{93} - 64q^{94} - 16q^{95} - 16q^{96} - 56q^{98} + O(q^{100}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(2240, [\chi])\) into newform subspaces

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