Properties

Label 1840.2.cy
Level $1840$
Weight $2$
Character orbit 1840.cy
Rep. character $\chi_{1840}(123,\cdot)$
Character field $\Q(\zeta_{44})$
Dimension $5680$
Sturm bound $576$

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Defining parameters

Level: \( N \) \(=\) \( 1840 = 2^{4} \cdot 5 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 1840.cy (of order \(44\) and degree \(20\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1840 \)
Character field: \(\Q(\zeta_{44})\)
Sturm bound: \(576\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1840, [\chi])\).

Total New Old
Modular forms 5840 5840 0
Cusp forms 5680 5680 0
Eisenstein series 160 160 0

Trace form

\( 5680q - 18q^{2} + 8q^{4} - 18q^{5} - 36q^{6} - 36q^{7} - 18q^{8} + 552q^{9} + O(q^{10}) \) \( 5680q - 18q^{2} + 8q^{4} - 18q^{5} - 36q^{6} - 36q^{7} - 18q^{8} + 552q^{9} - 10q^{10} - 36q^{11} - 30q^{12} - 36q^{13} - 24q^{15} - 28q^{16} - 36q^{17} - 22q^{18} - 16q^{19} - 18q^{20} - 36q^{21} - 28q^{22} - 40q^{23} - 24q^{24} - 36q^{26} - 2q^{28} + 2q^{30} - 38q^{32} - 36q^{33} + 32q^{34} + 2q^{35} - 36q^{36} - 36q^{37} - 10q^{38} - 98q^{40} + 182q^{42} - 36q^{43} + 216q^{44} - 32q^{45} - 56q^{46} - 114q^{48} - 38q^{50} - 52q^{51} - 146q^{52} - 40q^{54} - 36q^{55} - 84q^{56} - 24q^{57} - 58q^{58} + 58q^{60} - 68q^{61} + 30q^{62} - 24q^{63} + 32q^{64} - 36q^{65} - 36q^{66} - 36q^{67} - 108q^{68} - 28q^{69} + 36q^{70} - 72q^{71} + 68q^{72} - 16q^{74} - 30q^{75} - 36q^{76} + 38q^{78} + 22q^{80} - 576q^{81} - 26q^{82} - 24q^{84} + 2q^{85} - 4q^{86} - 36q^{87} + 14q^{88} - 2q^{90} - 80q^{91} - 78q^{92} - 104q^{93} - 8q^{94} + 80q^{95} - 36q^{96} - 36q^{97} - 82q^{98} - 24q^{99} + O(q^{100}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(1840, [\chi])\) into newform subspaces

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