Properties

Label 2240.2.ey
Level $2240$
Weight $2$
Character orbit 2240.ey
Rep. character $\chi_{2240}(157,\cdot)$
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.ey (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

\( 6080q - 8q^{2} - 24q^{3} - 24q^{5} - 16q^{7} - 32q^{8} + O(q^{10}) \) \( 6080q - 8q^{2} - 24q^{3} - 24q^{5} - 16q^{7} - 32q^{8} - 24q^{10} - 16q^{11} - 24q^{12} - 64q^{14} - 32q^{15} - 16q^{16} - 8q^{18} - 32q^{21} - 32q^{22} - 8q^{23} - 8q^{25} - 48q^{26} - 16q^{28} - 104q^{30} - 8q^{32} - 16q^{35} - 64q^{36} - 8q^{37} - 24q^{38} - 24q^{40} - 16q^{42} - 32q^{43} + 48q^{45} - 16q^{46} - 32q^{50} - 16q^{51} - 24q^{52} - 8q^{53} - 32q^{56} - 32q^{57} + 56q^{58} - 8q^{60} - 48q^{61} - 32q^{63} - 16q^{65} - 336q^{66} - 8q^{67} - 24q^{68} - 16q^{70} - 192q^{71} - 8q^{72} - 24q^{73} - 24q^{75} - 16q^{77} + 272q^{78} - 24q^{80} - 16q^{81} + 216q^{82} + 48q^{85} - 16q^{86} - 24q^{87} - 96q^{88} - 32q^{91} + 112q^{92} + 40q^{93} - 48q^{96} - 24q^{98} + O(q^{100}) \)

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

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