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Properties

Label 2001.2.bv
Level $2001$
Weight $2$
Character orbit 2001.bv
Rep. character $\chi_{2001}(2,\cdot)$
Character field $\Q(\zeta_{308})$
Dimension $28320$
Sturm bound $480$

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Defining parameters

Level: \( N \) \(=\) \( 2001 = 3 \cdot 23 \cdot 29 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2001.bv (of order \(308\) and degree \(120\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 2001 \)
Character field: \(\Q(\zeta_{308})\)
Sturm bound: \(480\)

Dimensions

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

Total New Old
Modular forms 29280 29280 0
Cusp forms 28320 28320 0
Eisenstein series 960 960 0

Trace form

\( 28320 q - 108 q^{3} - 252 q^{4} - 126 q^{6} - 180 q^{7} - 126 q^{9} + O(q^{10}) \) \( 28320 q - 108 q^{3} - 252 q^{4} - 126 q^{6} - 180 q^{7} - 126 q^{9} - 232 q^{10} - 110 q^{12} - 252 q^{13} - 120 q^{15} - 564 q^{16} - 110 q^{18} - 224 q^{19} - 82 q^{21} - 560 q^{22} - 48 q^{24} + 260 q^{25} - 246 q^{27} - 256 q^{30} - 200 q^{31} - 210 q^{33} - 252 q^{34} - 166 q^{36} - 200 q^{37} - 48 q^{39} - 240 q^{40} - 126 q^{42} - 296 q^{43} - 240 q^{45} - 208 q^{46} - 158 q^{48} + 164 q^{49} - 126 q^{51} - 340 q^{52} - 162 q^{54} - 188 q^{55} - 4 q^{58} - 124 q^{60} - 360 q^{61} - 126 q^{63} - 504 q^{64} - 338 q^{66} - 364 q^{67} - 142 q^{69} - 736 q^{70} - 44 q^{72} - 180 q^{73} - 84 q^{75} + 24 q^{76} + 174 q^{78} - 264 q^{79} + 118 q^{81} - 212 q^{82} - 100 q^{84} - 60 q^{85} - 352 q^{87} - 720 q^{88} + 120 q^{90} - 392 q^{91} - 280 q^{93} - 220 q^{94} - 168 q^{96} - 208 q^{97} + 164 q^{99} + O(q^{100}) \)

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.