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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

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

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.