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

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

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

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