Properties

Label 2001.2.bn
Level $2001$
Weight $2$
Character orbit 2001.bn
Rep. character $\chi_{2001}(20,\cdot)$
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.bn (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

\( 14160q - 45q^{3} - 322q^{4} - 63q^{6} - 110q^{7} - 37q^{9} + O(q^{10}) \) \( 14160q - 45q^{3} - 322q^{4} - 63q^{6} - 110q^{7} - 37q^{9} - 110q^{10} - 118q^{12} - 110q^{13} - 55q^{15} + 182q^{16} - 31q^{18} - 110q^{19} - 121q^{21} - 184q^{24} + 122q^{25} - 141q^{27} - 264q^{28} - 132q^{30} - 74q^{31} - 55q^{33} - 110q^{34} + q^{36} - 110q^{37} - 99q^{39} - 110q^{40} - 55q^{42} - 198q^{43} - 512q^{46} - 2q^{48} + 198q^{49} - 55q^{51} - 22q^{52} + 35q^{54} + 54q^{55} - 66q^{57} - 118q^{58} - 55q^{60} - 110q^{61} + 55q^{63} - 64q^{64} + 55q^{66} - 66q^{67} - 4q^{69} - 208q^{70} + 9q^{72} - 86q^{73} - 116q^{75} - 110q^{76} - 47q^{78} - 110q^{79} - 21q^{81} - 290q^{82} + 77q^{84} + 26q^{85} - 136q^{87} - 440q^{88} - 11q^{90} + 484q^{93} + 10q^{94} + 28q^{96} - 110q^{97} - 396q^{99} + O(q^{100}) \)

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

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