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Properties

Label 2156.2.cb
Level $2156$
Weight $2$
Character orbit 2156.cb
Rep. character $\chi_{2156}(27,\cdot)$
Character field $\Q(\zeta_{70})$
Dimension $7968$
Sturm bound $672$

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Defining parameters

Level: \( N \) \(=\) \( 2156 = 2^{2} \cdot 7^{2} \cdot 11 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2156.cb (of order \(70\) and degree \(24\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 2156 \)
Character field: \(\Q(\zeta_{70})\)
Sturm bound: \(672\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2156, [\chi])\).

Total New Old
Modular forms 8160 8160 0
Cusp forms 7968 7968 0
Eisenstein series 192 192 0

Trace form

\( 7968 q - 15 q^{2} - 15 q^{4} - 42 q^{5} - 21 q^{6} - 15 q^{8} + 294 q^{9} + O(q^{10}) \) \( 7968 q - 15 q^{2} - 15 q^{4} - 42 q^{5} - 21 q^{6} - 15 q^{8} + 294 q^{9} - 56 q^{10} - 56 q^{12} - 42 q^{13} - 10 q^{14} - 7 q^{16} - 42 q^{17} - 56 q^{18} - 21 q^{20} - 108 q^{21} + 32 q^{22} + 105 q^{24} - 330 q^{25} - 21 q^{26} - 82 q^{28} - 30 q^{29} + 10 q^{30} - 40 q^{32} - 56 q^{33} + 56 q^{34} + 7 q^{36} - 30 q^{37} + 7 q^{38} - 21 q^{40} - 42 q^{41} - 61 q^{42} + 10 q^{44} - 112 q^{45} - 27 q^{46} - 16 q^{49} - 74 q^{50} - 21 q^{52} - 46 q^{53} - 98 q^{54} - 318 q^{56} + 30 q^{57} - 23 q^{58} - 251 q^{60} - 42 q^{61} + 7 q^{62} - 111 q^{64} - 56 q^{65} - 126 q^{66} + 70 q^{69} + 71 q^{70} - 103 q^{72} - 42 q^{73} + 105 q^{74} + 2 q^{77} + 204 q^{78} + 246 q^{81} - 21 q^{82} - 83 q^{84} - 38 q^{85} - 40 q^{86} - 90 q^{88} - 112 q^{89} + 7 q^{90} - 10 q^{92} + 62 q^{93} - 273 q^{94} - 21 q^{96} - 154 q^{98} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{2}^{\mathrm{new}}(2156, [\chi])\) into newform subspaces

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