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Properties

Label 2667.2.ew
Level $2667$
Weight $2$
Character orbit 2667.ew
Rep. character $\chi_{2667}(29,\cdot)$
Character field $\Q(\zeta_{126})$
Dimension $9216$
Sturm bound $682$

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Defining parameters

Level: \( N \) \(=\) \( 2667 = 3 \cdot 7 \cdot 127 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2667.ew (of order \(126\) and degree \(36\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 381 \)
Character field: \(\Q(\zeta_{126})\)
Sturm bound: \(682\)

Dimensions

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

Total New Old
Modular forms 12456 9216 3240
Cusp forms 12168 9216 2952
Eisenstein series 288 0 288

Trace form

\( 9216 q + 1536 q^{4} + 18 q^{6} + O(q^{10}) \) \( 9216 q + 1536 q^{4} + 18 q^{6} + 18 q^{12} - 1488 q^{16} + 12 q^{18} - 48 q^{22} - 132 q^{24} + 744 q^{25} - 48 q^{28} + 54 q^{30} - 24 q^{31} - 12 q^{36} - 168 q^{39} - 30 q^{42} - 48 q^{43} + 168 q^{45} + 24 q^{46} - 36 q^{48} + 288 q^{52} + 252 q^{54} - 12 q^{55} - 60 q^{58} - 90 q^{60} - 192 q^{61} + 1440 q^{64} + 24 q^{67} - 36 q^{69} - 66 q^{72} + 48 q^{76} - 84 q^{78} + 48 q^{79} - 60 q^{81} + 108 q^{82} + 42 q^{84} + 186 q^{87} + 1128 q^{88} + 390 q^{90} - 120 q^{93} + 240 q^{94} - 78 q^{96} - 48 q^{97} - 96 q^{99} + O(q^{100}) \)

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.

Decomposition of \(S_{2}^{\mathrm{old}}(2667, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(2667, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(381, [\chi])\)\(^{\oplus 2}\)