↑

Properties

Label 2667.2.l
Level $2667$
Weight $2$
Character orbit 2667.l
Rep. character $\chi_{2667}(400,\cdot)$
Character field $\Q(\zeta_{3})$
Dimension $256$
Sturm bound $682$

Related objects

Downloads

Learn more

Defining parameters

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

Dimensions

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

Total New Old
Modular forms 688 256 432
Cusp forms 672 256 416
Eisenstein series 16 0 16

Trace form

\( 256 q + 4 q^{2} + 260 q^{4} + 4 q^{7} - 128 q^{9} + O(q^{10}) \) \( 256 q + 4 q^{2} + 260 q^{4} + 4 q^{7} - 128 q^{9} + 16 q^{10} - 8 q^{11} + 16 q^{12} + 16 q^{13} - 2 q^{14} + 8 q^{15} + 236 q^{16} - 8 q^{17} - 2 q^{18} + 16 q^{19} - 6 q^{22} + 8 q^{23} + 248 q^{25} + 6 q^{28} - 4 q^{29} - 8 q^{30} + 4 q^{31} - 36 q^{32} - 8 q^{33} + 20 q^{34} - 4 q^{35} - 130 q^{36} + 8 q^{37} + 16 q^{38} + 16 q^{39} - 64 q^{40} + 8 q^{41} - 4 q^{43} - 6 q^{44} + 32 q^{46} - 48 q^{47} + 16 q^{48} - 128 q^{49} + 116 q^{50} - 24 q^{51} + 84 q^{52} - 16 q^{53} + 36 q^{55} + 24 q^{56} + 42 q^{58} - 12 q^{59} + 32 q^{60} + 8 q^{61} - 4 q^{62} - 8 q^{63} + 160 q^{64} + 4 q^{65} + 64 q^{66} + 40 q^{67} - 60 q^{68} - 4 q^{69} - 16 q^{71} + 32 q^{73} + 2 q^{74} - 24 q^{75} - 16 q^{77} + 8 q^{78} - 4 q^{79} + 136 q^{80} - 128 q^{81} - 8 q^{82} - 4 q^{83} + 20 q^{85} - 18 q^{86} + 8 q^{87} + 28 q^{88} + 56 q^{89} - 8 q^{90} + 16 q^{91} - 28 q^{92} + 24 q^{93} - 40 q^{94} - 128 q^{95} - 32 q^{97} - 2 q^{98} - 8 q^{99} + O(q^{100}) \)

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

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