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Properties

Label 1120.2.dy
Level $1120$
Weight $2$
Character orbit 1120.dy
Rep. character $\chi_{1120}(107,\cdot)$
Character field $\Q(\zeta_{24})$
Dimension $1504$
Sturm bound $384$

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Defining parameters

Level: \( N \) \(=\) \( 1120 = 2^{5} \cdot 5 \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 1120.dy (of order \(24\) and degree \(8\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1120 \)
Character field: \(\Q(\zeta_{24})\)
Sturm bound: \(384\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1120, [\chi])\).

Total New Old
Modular forms 1568 1568 0
Cusp forms 1504 1504 0
Eisenstein series 64 64 0

Trace form

\( 1504 q - 4 q^{2} - 4 q^{3} - 4 q^{5} - 32 q^{6} - 16 q^{7} - 40 q^{8} + O(q^{10}) \) \( 1504 q - 4 q^{2} - 4 q^{3} - 4 q^{5} - 32 q^{6} - 16 q^{7} - 40 q^{8} + 8 q^{10} - 8 q^{11} - 4 q^{12} - 16 q^{13} + 16 q^{14} - 32 q^{15} - 8 q^{16} + 12 q^{18} - 16 q^{20} - 16 q^{21} - 16 q^{22} - 8 q^{23} - 4 q^{25} - 8 q^{26} - 40 q^{27} + 8 q^{28} - 44 q^{30} - 4 q^{32} - 8 q^{33} + 36 q^{35} - 32 q^{36} - 4 q^{37} - 4 q^{38} - 4 q^{40} - 32 q^{41} - 16 q^{42} - 16 q^{43} - 16 q^{44} - 4 q^{45} - 8 q^{46} - 8 q^{47} + 48 q^{48} - 32 q^{50} - 8 q^{51} + 32 q^{52} - 4 q^{53} + 56 q^{54} - 16 q^{55} - 16 q^{56} - 36 q^{58} + 12 q^{60} - 8 q^{61} - 176 q^{62} + 56 q^{63} - 96 q^{64} - 8 q^{65} + 40 q^{66} - 28 q^{67} + 28 q^{68} + 48 q^{69} - 16 q^{70} - 96 q^{71} + 28 q^{72} + 20 q^{75} - 32 q^{76} + 20 q^{77} - 56 q^{78} - 92 q^{80} + 28 q^{82} - 16 q^{83} + 56 q^{84} - 16 q^{85} - 8 q^{86} + 40 q^{88} - 112 q^{90} - 16 q^{91} - 56 q^{92} - 28 q^{93} - 8 q^{96} - 32 q^{97} - 56 q^{98} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{2}^{\mathrm{new}}(1120, [\chi])\) into newform subspaces

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