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Properties

Label 2200.2.ee
Level $2200$
Weight $2$
Character orbit 2200.ee
Rep. character $\chi_{2200}(1019,\cdot)$
Character field $\Q(\zeta_{10})$
Dimension $1424$
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.ee (of order \(10\) and degree \(4\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 2200 \)
Character field: \(\Q(\zeta_{10})\)
Sturm bound: \(720\)

Dimensions

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

Total New Old
Modular forms 1456 1456 0
Cusp forms 1424 1424 0
Eisenstein series 32 32 0

Trace form

\( 1424 q - 5 q^{2} - 10 q^{3} - q^{4} - 5 q^{8} + 346 q^{9} + O(q^{10}) \) \( 1424 q - 5 q^{2} - 10 q^{3} - q^{4} - 5 q^{8} + 346 q^{9} - 20 q^{10} - 6 q^{11} - 30 q^{12} - 14 q^{14} + 3 q^{16} - 20 q^{17} + 15 q^{18} - 10 q^{19} - q^{20} - 25 q^{22} - 10 q^{24} - 6 q^{25} + 6 q^{26} + 20 q^{27} - 5 q^{28} - 25 q^{30} - 40 q^{33} - 8 q^{34} - 10 q^{35} - 42 q^{36} - 15 q^{38} - 30 q^{40} - 10 q^{41} - 75 q^{42} + 160 q^{43} - 16 q^{44} - 5 q^{48} + 320 q^{49} - 30 q^{50} - 50 q^{51} - 50 q^{52} + 30 q^{54} - 34 q^{56} + 45 q^{58} - 12 q^{59} - 34 q^{60} - 10 q^{62} + 23 q^{64} + 51 q^{66} - 20 q^{67} + 35 q^{68} + 63 q^{70} - 95 q^{72} - 10 q^{73} - 75 q^{74} + 14 q^{75} - 40 q^{78} - 96 q^{80} - 320 q^{81} - 10 q^{82} - 20 q^{83} - 33 q^{86} + 35 q^{88} - 12 q^{89} - 35 q^{90} + 12 q^{91} - 5 q^{92} + 75 q^{96} - 35 q^{98} + 8 q^{99} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

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

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