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Properties

Label 2667.2.bb
Level $2667$
Weight $2$
Character orbit 2667.bb
Rep. character $\chi_{2667}(509,\cdot)$
Character field $\Q(\zeta_{6})$
Dimension $672$
Sturm bound $682$

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Defining parameters

Level: \( N \) \(=\) \( 2667 = 3 \cdot 7 \cdot 127 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2667.bb (of order \(6\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 21 \)
Character field: \(\Q(\zeta_{6})\)
Sturm bound: \(682\)

Dimensions

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

Total New Old
Modular forms 692 672 20
Cusp forms 676 672 4
Eisenstein series 16 0 16

Trace form

\( 672 q + 336 q^{4} - 4 q^{9} + O(q^{10}) \) \( 672 q + 336 q^{4} - 4 q^{9} - 30 q^{12} + 8 q^{15} - 336 q^{16} - 2 q^{18} - 8 q^{21} - 8 q^{22} - 328 q^{25} + 12 q^{28} - 12 q^{30} - 6 q^{33} + 8 q^{36} - 8 q^{37} - 10 q^{39} + 60 q^{40} - 22 q^{42} - 16 q^{43} + 48 q^{45} + 20 q^{46} + 4 q^{51} + 36 q^{52} - 18 q^{54} + 4 q^{57} + 16 q^{58} - 12 q^{60} + 16 q^{63} - 744 q^{64} - 60 q^{66} - 8 q^{67} - 108 q^{70} - 4 q^{72} + 30 q^{75} - 72 q^{78} + 16 q^{79} - 4 q^{81} + 12 q^{82} + 42 q^{84} + 48 q^{85} - 78 q^{87} + 40 q^{91} + 30 q^{93} + 84 q^{94} - 18 q^{96} - 28 q^{99} + O(q^{100}) \)

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

\( S_{2}^{\mathrm{old}}(2667, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(21, [\chi])\)\(^{\oplus 2}\)