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Properties

Label 2128.2.dz
Level $2128$
Weight $2$
Character orbit 2128.dz
Rep. character $\chi_{2128}(107,\cdot)$
Character field $\Q(\zeta_{12})$
Dimension $1264$
Sturm bound $640$

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Defining parameters

Level: \( N \) \(=\) \( 2128 = 2^{4} \cdot 7 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2128.dz (of order \(12\) and degree \(4\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 2128 \)
Character field: \(\Q(\zeta_{12})\)
Sturm bound: \(640\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2128, [\chi])\).

Total New Old
Modular forms 1296 1296 0
Cusp forms 1264 1264 0
Eisenstein series 32 32 0

Trace form

\( 1264 q - 6 q^{3} - 4 q^{4} - 4 q^{5} - 4 q^{6} - 16 q^{7} + O(q^{10}) \) \( 1264 q - 6 q^{3} - 4 q^{4} - 4 q^{5} - 4 q^{6} - 16 q^{7} - 4 q^{11} - 12 q^{13} + 6 q^{14} - 4 q^{16} + 4 q^{17} - 24 q^{18} - 2 q^{19} - 16 q^{20} - 6 q^{21} - 12 q^{22} + 4 q^{23} + 2 q^{24} - 4 q^{26} - 30 q^{28} - 12 q^{29} - 12 q^{34} + 36 q^{35} + 12 q^{36} + 18 q^{38} - 8 q^{39} - 54 q^{42} - 4 q^{43} + 24 q^{44} + 22 q^{45} + 24 q^{46} - 12 q^{48} - 16 q^{49} - 6 q^{51} - 6 q^{52} - 140 q^{54} - 8 q^{55} + 60 q^{56} - 18 q^{58} - 6 q^{59} - 6 q^{60} + 2 q^{61} + 44 q^{62} - 76 q^{64} + 164 q^{66} - 10 q^{68} + 36 q^{70} - 24 q^{71} - 138 q^{72} - 26 q^{74} + 66 q^{75} + 22 q^{76} + 20 q^{77} + 72 q^{78} - 28 q^{80} + 572 q^{81} - 6 q^{82} - 16 q^{83} - 24 q^{85} - 6 q^{86} - 8 q^{87} + 96 q^{90} - 48 q^{91} - 20 q^{92} + 20 q^{93} - 24 q^{94} - 8 q^{96} - 24 q^{97} + 48 q^{98} - 10 q^{99} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{2}^{\mathrm{new}}(2128, [\chi])\) into newform subspaces

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