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Properties

Label 2672.2.l
Level $2672$
Weight $2$
Character orbit 2672.l
Rep. character $\chi_{2672}(667,\cdot)$
Character field $\Q(\zeta_{4})$
Dimension $668$
Sturm bound $672$

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Defining parameters

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

Dimensions

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

Total New Old
Modular forms 676 676 0
Cusp forms 668 668 0
Eisenstein series 8 8 0

Trace form

\( 668 q - 4 q^{2} - 4 q^{3} - 4 q^{4} + 8 q^{6} - 8 q^{7} - 4 q^{8} + O(q^{10}) \) \( 668 q - 4 q^{2} - 4 q^{3} - 4 q^{4} + 8 q^{6} - 8 q^{7} - 4 q^{8} - 4 q^{11} + 4 q^{14} + 4 q^{16} + 4 q^{18} + 12 q^{19} - 16 q^{21} + 12 q^{22} - 28 q^{24} + 32 q^{27} - 4 q^{29} + 16 q^{32} - 8 q^{33} + 72 q^{36} + 16 q^{38} + 52 q^{42} + 30 q^{44} - 12 q^{48} + 636 q^{49} + 24 q^{50} + 30 q^{54} + 8 q^{56} - 8 q^{58} + 28 q^{61} - 54 q^{62} + 32 q^{64} - 8 q^{65} - 84 q^{66} + 120 q^{72} + 76 q^{75} - 36 q^{76} - 32 q^{77} - 644 q^{81} - 102 q^{84} + 48 q^{85} - 120 q^{87} - 152 q^{88} - 40 q^{93} - 24 q^{94} - 52 q^{96} - 8 q^{97} - 84 q^{98} + 84 q^{99} + O(q^{100}) \)

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.