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

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

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

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