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Properties

Label 1001.2.br
Level $1001$
Weight $2$
Character orbit 1001.br
Rep. character $\chi_{1001}(439,\cdot)$
Character field $\Q(\zeta_{6})$
Dimension $216$
Sturm bound $224$

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Defining parameters

Level: \( N \) \(=\) \( 1001 = 7 \cdot 11 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 1001.br (of order \(6\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1001 \)
Character field: \(\Q(\zeta_{6})\)
Sturm bound: \(224\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1001, [\chi])\).

Total New Old
Modular forms 232 232 0
Cusp forms 216 216 0
Eisenstein series 16 16 0

Trace form

\( 216 q - 6 q^{3} + 204 q^{4} + 98 q^{9} + O(q^{10}) \) \( 216 q - 6 q^{3} + 204 q^{4} + 98 q^{9} + 3 q^{11} - 24 q^{12} - 12 q^{14} - 6 q^{15} + 172 q^{16} - 12 q^{20} + 2 q^{22} - 4 q^{23} - 96 q^{25} - 30 q^{26} - 15 q^{33} - 24 q^{34} + 60 q^{36} + 30 q^{38} - 28 q^{42} - 12 q^{44} - 12 q^{45} - 84 q^{48} - 18 q^{49} - 14 q^{53} + 6 q^{55} - 60 q^{56} + 30 q^{58} - 60 q^{59} - 114 q^{60} + 32 q^{64} - 39 q^{66} - 30 q^{67} + 60 q^{69} + 6 q^{70} + 6 q^{71} + 10 q^{77} - 70 q^{78} - 30 q^{80} - 72 q^{81} - 6 q^{82} - 24 q^{86} + 15 q^{88} + 48 q^{89} - 18 q^{91} - 20 q^{92} - 36 q^{97} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{2}^{\mathrm{new}}(1001, [\chi])\) into newform subspaces

The newforms in this space have not yet been added to the LMFDB.