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Properties

Label 2667.2.d
Level $2667$
Weight $2$
Character orbit 2667.d
Rep. character $\chi_{2667}(2414,\cdot)$
Character field $\Q$
Dimension $336$
Sturm bound $682$

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Defining parameters

Level: \( N \) \(=\) \( 2667 = 3 \cdot 7 \cdot 127 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2667.d (of order \(2\) and degree \(1\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 21 \)
Character field: \(\Q\)
Sturm bound: \(682\)

Dimensions

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

Total New Old
Modular forms 344 336 8
Cusp forms 336 336 0
Eisenstein series 8 0 8

Trace form

\( 336 q - 336 q^{4} + 4 q^{9} + O(q^{10}) \) \( 336 q - 336 q^{4} + 4 q^{9} + 4 q^{15} + 336 q^{16} - 4 q^{18} + 8 q^{21} + 32 q^{22} + 328 q^{25} - 12 q^{28} - 24 q^{30} - 56 q^{36} + 8 q^{37} + 16 q^{39} - 14 q^{42} + 40 q^{43} + 40 q^{46} - 24 q^{49} - 28 q^{51} + 20 q^{57} - 16 q^{58} - 72 q^{60} - 34 q^{63} - 336 q^{64} + 8 q^{67} - 36 q^{70} - 8 q^{72} + 72 q^{78} - 40 q^{79} - 20 q^{81} - 6 q^{84} - 72 q^{85} - 16 q^{91} + 84 q^{93} + 16 q^{99} + O(q^{100}) \)

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.