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Properties

Label 2001.2.br
Level $2001$
Weight $2$
Character orbit 2001.br
Rep. character $\chi_{2001}(5,\cdot)$
Character field $\Q(\zeta_{154})$
Dimension $14160$
Sturm bound $480$

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Defining parameters

Level: \( N \) \(=\) \( 2001 = 3 \cdot 23 \cdot 29 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2001.br (of order \(154\) and degree \(60\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 2001 \)
Character field: \(\Q(\zeta_{154})\)
Sturm bound: \(480\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2001, [\chi])\).

Total New Old
Modular forms 14640 14640 0
Cusp forms 14160 14160 0
Eisenstein series 480 480 0

Trace form

\( 14160 q - 63 q^{3} + 142 q^{4} - 27 q^{6} - 110 q^{7} - 53 q^{9} + O(q^{10}) \) \( 14160 q - 63 q^{3} + 142 q^{4} - 27 q^{6} - 110 q^{7} - 53 q^{9} - 154 q^{10} - 70 q^{13} - 77 q^{15} + 150 q^{16} - 63 q^{18} - 154 q^{19} - 77 q^{21} - 168 q^{24} + 138 q^{25} - 105 q^{27} - 264 q^{28} - 132 q^{30} - 126 q^{31} - 55 q^{33} - 110 q^{34} - 15 q^{36} - 154 q^{37} - 21 q^{39} - 154 q^{40} - 55 q^{42} - 154 q^{43} - 140 q^{48} - 882 q^{49} - 55 q^{51} - 126 q^{52} - 53 q^{54} - 378 q^{55} - 66 q^{57} - 174 q^{58} - 77 q^{60} - 154 q^{61} - 165 q^{63} - 77 q^{66} - 66 q^{67} - 126 q^{69} - 21 q^{72} - 126 q^{73} - 154 q^{76} + 125 q^{78} - 154 q^{79} - 85 q^{81} + 78 q^{82} - 77 q^{84} - 406 q^{85} - 184 q^{87} - 440 q^{88} - 77 q^{90} - 708 q^{93} - 86 q^{94} + 84 q^{96} - 154 q^{97} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{2}^{\mathrm{new}}(2001, [\chi])\) into newform subspaces

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