↑

Properties

Label 2080.2.hh
Level $2080$
Weight $2$
Character orbit 2080.hh
Rep. character $\chi_{2080}(197,\cdot)$
Character field $\Q(\zeta_{24})$
Dimension $2656$
Sturm bound $672$

Related objects

Downloads

Learn more

Defining parameters

Level: \( N \) \(=\) \( 2080 = 2^{5} \cdot 5 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2080.hh (of order \(24\) and degree \(8\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 2080 \)
Character field: \(\Q(\zeta_{24})\)
Sturm bound: \(672\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2080, [\chi])\).

Total New Old
Modular forms 2720 2720 0
Cusp forms 2656 2656 0
Eisenstein series 64 64 0

Trace form

\( 2656 q - 4 q^{2} - 4 q^{3} - 8 q^{5} - 16 q^{6} - 8 q^{7} - 16 q^{8} + O(q^{10}) \) \( 2656 q - 4 q^{2} - 4 q^{3} - 8 q^{5} - 16 q^{6} - 8 q^{7} - 16 q^{8} - 12 q^{10} - 16 q^{11} - 32 q^{12} - 8 q^{13} - 8 q^{16} + 16 q^{18} - 8 q^{20} - 16 q^{21} - 20 q^{22} - 64 q^{24} - 16 q^{26} - 40 q^{27} + 20 q^{28} - 44 q^{30} - 32 q^{31} - 64 q^{32} - 8 q^{33} - 16 q^{34} - 4 q^{35} - 24 q^{36} - 12 q^{37} - 16 q^{40} - 24 q^{41} + 116 q^{42} + 20 q^{43} - 16 q^{44} - 36 q^{45} - 16 q^{46} - 160 q^{48} - 116 q^{50} + 28 q^{52} - 16 q^{53} + 28 q^{55} - 24 q^{56} - 16 q^{57} - 12 q^{58} + 64 q^{59} - 72 q^{60} - 8 q^{61} + 16 q^{62} - 8 q^{63} - 16 q^{65} - 32 q^{66} - 4 q^{67} - 36 q^{68} + 152 q^{70} + 56 q^{71} + 20 q^{72} - 16 q^{73} + 56 q^{75} + 16 q^{76} - 56 q^{77} - 120 q^{78} - 8 q^{80} - 28 q^{82} + 80 q^{83} - 112 q^{84} + 32 q^{85} - 16 q^{86} - 8 q^{87} - 76 q^{88} - 16 q^{91} + 16 q^{92} + 24 q^{93} - 16 q^{94} - 24 q^{95} + 160 q^{96} - 8 q^{97} + 64 q^{98} + 152 q^{99} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{2}^{\mathrm{new}}(2080, [\chi])\) into newform subspaces

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