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Properties

Label 2667.2.ca
Level $2667$
Weight $2$
Character orbit 2667.ca
Rep. character $\chi_{2667}(230,\cdot)$
Character field $\Q(\zeta_{18})$
Dimension $2028$
Sturm bound $682$

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Defining parameters

Level: \( N \) \(=\) \( 2667 = 3 \cdot 7 \cdot 127 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2667.ca (of order \(18\) and degree \(6\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 2667 \)
Character field: \(\Q(\zeta_{18})\)
Sturm bound: \(682\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2667, [\chi])\).

Total New Old
Modular forms 2076 2076 0
Cusp forms 2028 2028 0
Eisenstein series 48 48 0

Trace form

\( 2028 q - 2064 q^{4} - 6 q^{7} - 12 q^{9} + O(q^{10}) \) \( 2028 q - 2064 q^{4} - 6 q^{7} - 12 q^{9} - 12 q^{15} + 2040 q^{16} + 24 q^{18} - 12 q^{21} + 24 q^{22} - 990 q^{25} - 78 q^{28} + 42 q^{30} - 6 q^{36} - 6 q^{37} - 24 q^{39} + 39 q^{42} - 24 q^{43} + 48 q^{46} - 30 q^{49} - 6 q^{51} - 30 q^{57} + 96 q^{58} + 48 q^{60} - 30 q^{63} - 2088 q^{64} - 90 q^{67} + 30 q^{70} + 60 q^{72} - 174 q^{78} - 162 q^{79} - 96 q^{81} + 36 q^{84} + 36 q^{85} + 96 q^{88} + 78 q^{91} + 90 q^{93} - 156 q^{99} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{2}^{\mathrm{new}}(2667, [\chi])\) into newform subspaces

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