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Properties

Label 2667.2.bv
Level $2667$
Weight $2$
Character orbit 2667.bv
Rep. character $\chi_{2667}(365,\cdot)$
Character field $\Q(\zeta_{14})$
Dimension $1536$
Sturm bound $682$

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Defining parameters

Level: \( N \) \(=\) \( 2667 = 3 \cdot 7 \cdot 127 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2667.bv (of order \(14\) and degree \(6\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 381 \)
Character field: \(\Q(\zeta_{14})\)
Sturm bound: \(682\)

Dimensions

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

Total New Old
Modular forms 2064 1536 528
Cusp forms 2016 1536 480
Eisenstein series 48 0 48

Trace form

\( 1536 q + 256 q^{4} - 42 q^{6} + O(q^{10}) \) \( 1536 q + 256 q^{4} - 42 q^{6} + 8 q^{13} - 8 q^{15} - 312 q^{16} + 22 q^{18} + 8 q^{19} - 32 q^{22} - 248 q^{25} + 68 q^{30} - 8 q^{31} + 130 q^{36} + 8 q^{37} + 112 q^{39} + 20 q^{42} - 28 q^{43} - 84 q^{45} - 112 q^{46} + 256 q^{49} + 56 q^{51} - 280 q^{52} - 196 q^{54} - 84 q^{55} - 84 q^{57} + 56 q^{58} + 64 q^{60} + 44 q^{61} + 184 q^{64} - 98 q^{66} + 32 q^{69} + 36 q^{72} + 48 q^{73} - 126 q^{78} + 16 q^{79} + 24 q^{81} - 88 q^{82} - 28 q^{84} + 28 q^{85} + 4 q^{87} - 96 q^{88} + 40 q^{94} - 56 q^{96} + 44 q^{99} + O(q^{100}) \)

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

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