Properties

Label 2200.2.ev
Level $2200$
Weight $2$
Character orbit 2200.ev
Rep. character $\chi_{2200}(173,\cdot)$
Character field $\Q(\zeta_{20})$
Dimension $2848$
Sturm bound $720$

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Defining parameters

Level: \( N \) \(=\) \( 2200 = 2^{3} \cdot 5^{2} \cdot 11 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2200.ev (of order \(20\) and degree \(8\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 2200 \)
Character field: \(\Q(\zeta_{20})\)
Sturm bound: \(720\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2200, [\chi])\).

Total New Old
Modular forms 2912 2912 0
Cusp forms 2848 2848 0
Eisenstein series 64 64 0

Trace form

\( 2848 q - 10 q^{2} - 10 q^{4} - 10 q^{6} - 20 q^{7} - 10 q^{8} + O(q^{10}) \) \( 2848 q - 10 q^{2} - 10 q^{4} - 10 q^{6} - 20 q^{7} - 10 q^{8} - 58 q^{12} - 10 q^{14} - 12 q^{15} - 2 q^{16} - 20 q^{17} - 10 q^{18} + 30 q^{20} + 4 q^{22} - 32 q^{23} - 12 q^{25} - 12 q^{26} - 10 q^{28} - 10 q^{30} - 4 q^{31} - 50 q^{32} - 28 q^{33} - 20 q^{34} + 6 q^{36} + 28 q^{38} - 40 q^{39} - 10 q^{40} - 20 q^{41} + 50 q^{42} - 10 q^{44} - 10 q^{46} - 12 q^{47} - 18 q^{48} - 10 q^{50} - 10 q^{52} + 60 q^{54} + 64 q^{55} - 12 q^{56} - 20 q^{57} - 10 q^{58} + 68 q^{60} - 10 q^{62} + 180 q^{63} - 130 q^{64} - 42 q^{66} - 120 q^{68} - 36 q^{70} - 4 q^{71} + 70 q^{72} - 20 q^{73} - 110 q^{74} - 40 q^{78} - 20 q^{79} + 14 q^{80} - 2616 q^{81} + 62 q^{82} - 10 q^{84} - 2 q^{86} - 60 q^{87} - 112 q^{88} - 40 q^{89} + 210 q^{90} - 98 q^{92} - 80 q^{94} - 20 q^{95} + 20 q^{97} + O(q^{100}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(2200, [\chi])\) into newform subspaces

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