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Properties

Label 2667.2.dm
Level $2667$
Weight $2$
Character orbit 2667.dm
Rep. character $\chi_{2667}(305,\cdot)$
Character field $\Q(\zeta_{42})$
Dimension $4056$
Sturm bound $682$

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Defining parameters

Level: \( N \) \(=\) \( 2667 = 3 \cdot 7 \cdot 127 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2667.dm (of order \(42\) and degree \(12\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 2667 \)
Character field: \(\Q(\zeta_{42})\)
Sturm bound: \(682\)

Dimensions

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

Total New Old
Modular forms 4152 4152 0
Cusp forms 4056 4056 0
Eisenstein series 96 96 0

Trace form

\( 4056 q - 4 q^{3} - 346 q^{4} - 16 q^{6} - 28 q^{7} + 2 q^{9} + O(q^{10}) \) \( 4056 q - 4 q^{3} - 346 q^{4} - 16 q^{6} - 28 q^{7} + 2 q^{9} - 8 q^{10} - 7 q^{12} - 57 q^{13} - 61 q^{15} + 418 q^{16} - 5 q^{18} - 25 q^{19} + 22 q^{21} - 32 q^{22} - 3 q^{24} + 322 q^{25} - 28 q^{27} + 5 q^{30} - 19 q^{31} - 91 q^{33} - 92 q^{34} - 26 q^{36} + 7 q^{37} - 35 q^{39} - 72 q^{40} - 14 q^{42} - 44 q^{43} - 91 q^{45} - 8 q^{46} - 87 q^{48} + 78 q^{49} - 13 q^{51} + 10 q^{52} + 59 q^{54} - 44 q^{55} + 11 q^{57} - 8 q^{60} + 6 q^{61} + 97 q^{63} + 560 q^{64} - 37 q^{66} + 17 q^{67} + 8 q^{69} + 30 q^{70} + 27 q^{72} + 95 q^{73} + 44 q^{76} - 103 q^{78} + 78 q^{79} - 170 q^{81} + 60 q^{82} - 419 q^{84} - 74 q^{85} - q^{87} - 66 q^{88} + 96 q^{90} - 19 q^{91} + 113 q^{93} - 274 q^{94} - 63 q^{96} - 20 q^{97} - 34 q^{99} + O(q^{100}) \)

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.