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Properties

Label 2672.2.w
Level $2672$
Weight $2$
Character orbit 2672.w
Rep. character $\chi_{2672}(21,\cdot)$
Character field $\Q(\zeta_{332})$
Dimension $54776$
Sturm bound $672$

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Defining parameters

Level: \( N \) \(=\) \( 2672 = 2^{4} \cdot 167 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2672.w (of order \(332\) and degree \(164\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 2672 \)
Character field: \(\Q(\zeta_{332})\)
Sturm bound: \(672\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2672, [\chi])\).

Total New Old
Modular forms 55432 55432 0
Cusp forms 54776 54776 0
Eisenstein series 656 656 0

Trace form

\( 54776 q - 162 q^{2} - 162 q^{3} - 162 q^{4} - 162 q^{5} - 174 q^{6} - 162 q^{8} + O(q^{10}) \) \( 54776 q - 162 q^{2} - 162 q^{3} - 162 q^{4} - 162 q^{5} - 174 q^{6} - 162 q^{8} - 154 q^{10} - 162 q^{11} - 158 q^{12} - 162 q^{13} - 154 q^{14} - 340 q^{15} - 170 q^{16} - 324 q^{17} - 170 q^{18} - 178 q^{19} - 174 q^{20} - 174 q^{21} - 146 q^{22} - 186 q^{24} - 174 q^{26} - 150 q^{27} - 158 q^{28} - 162 q^{29} - 158 q^{30} - 324 q^{31} - 182 q^{32} - 324 q^{33} - 194 q^{34} - 182 q^{35} - 158 q^{36} - 162 q^{37} - 142 q^{38} - 150 q^{40} - 186 q^{42} - 194 q^{43} - 184 q^{44} - 170 q^{45} - 222 q^{46} - 324 q^{47} - 234 q^{48} + 320 q^{49} - 190 q^{50} - 134 q^{51} - 178 q^{52} - 162 q^{53} - 132 q^{54} - 150 q^{56} - 94 q^{58} - 154 q^{59} - 158 q^{60} - 130 q^{61} - 140 q^{62} - 380 q^{63} - 198 q^{64} - 324 q^{65} - 162 q^{66} - 162 q^{67} - 114 q^{68} - 142 q^{69} - 206 q^{70} - 214 q^{72} - 174 q^{74} - 178 q^{75} - 130 q^{76} - 190 q^{77} - 158 q^{78} - 332 q^{79} - 174 q^{80} + 312 q^{81} - 206 q^{82} - 202 q^{83} - 260 q^{84} - 174 q^{85} - 218 q^{86} - 142 q^{88} - 238 q^{90} - 222 q^{91} - 202 q^{92} - 198 q^{93} - 126 q^{94} - 260 q^{95} - 130 q^{96} - 324 q^{97} - 226 q^{98} - 122 q^{99} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{2}^{\mathrm{new}}(2672, [\chi])\) into newform subspaces

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