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Properties

Label 2667.2.ea
Level $2667$
Weight $2$
Character orbit 2667.ea
Rep. character $\chi_{2667}(148,\cdot)$
Character field $\Q(\zeta_{63})$
Dimension $4608$
Sturm bound $682$

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Defining parameters

Level: \( N \) \(=\) \( 2667 = 3 \cdot 7 \cdot 127 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2667.ea (of order \(63\) and degree \(36\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 127 \)
Character field: \(\Q(\zeta_{63})\)
Sturm bound: \(682\)

Dimensions

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

Total New Old
Modular forms 12456 4608 7848
Cusp forms 12168 4608 7560
Eisenstein series 288 0 288

Trace form

\( 4608 q - 768 q^{4} + 30 q^{8} + O(q^{10}) \) \( 4608 q - 768 q^{4} + 30 q^{8} - 24 q^{11} + 36 q^{14} - 816 q^{16} - 24 q^{17} - 6 q^{18} + 42 q^{22} + 12 q^{23} + 360 q^{25} + 12 q^{28} - 24 q^{30} + 24 q^{31} + 96 q^{32} + 12 q^{33} + 24 q^{35} + 12 q^{36} - 24 q^{37} - 60 q^{38} - 168 q^{40} - 84 q^{43} - 144 q^{44} + 78 q^{46} + 60 q^{47} + 288 q^{48} - 48 q^{51} + 288 q^{52} + 24 q^{53} - 12 q^{55} - 12 q^{56} - 24 q^{57} + 90 q^{58} - 48 q^{59} + 192 q^{61} + 24 q^{63} - 654 q^{64} - 36 q^{65} - 72 q^{67} + 156 q^{68} - 12 q^{69} + 360 q^{71} - 12 q^{72} + 228 q^{74} + 48 q^{76} - 48 q^{77} + 24 q^{79} - 168 q^{82} + 120 q^{83} + 12 q^{85} + 324 q^{86} + 24 q^{87} + 234 q^{88} + 96 q^{89} + 144 q^{90} - 66 q^{92} + 264 q^{94} + 564 q^{95} + 48 q^{97} - 6 q^{98} + 48 q^{99} + O(q^{100}) \)

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

\( S_{2}^{\mathrm{old}}(2667, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(127, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(381, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(889, [\chi])\)\(^{\oplus 2}\)