Properties

Label 2001.2.v
Level $2001$
Weight $2$
Character orbit 2001.v
Rep. character $\chi_{2001}(86,\cdot)$
Character field $\Q(\zeta_{22})$
Dimension $2360$
Sturm bound $480$

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Defining parameters

Level: \( N \) \(=\) \( 2001 = 3 \cdot 23 \cdot 29 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2001.v (of order \(22\) and degree \(10\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 2001 \)
Character field: \(\Q(\zeta_{22})\)
Sturm bound: \(480\)

Dimensions

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

Total New Old
Modular forms 2440 2440 0
Cusp forms 2360 2360 0
Eisenstein series 80 80 0

Trace form

\( 2360q - 268q^{4} - 8q^{6} - 44q^{7} - 10q^{9} + O(q^{10}) \) \( 2360q - 268q^{4} - 8q^{6} - 44q^{7} - 10q^{9} - 28q^{13} - 276q^{16} + 140q^{24} - 264q^{25} - 44q^{28} - 22q^{30} - 22q^{33} - 44q^{34} + 36q^{36} - 22q^{42} - 56q^{49} - 22q^{51} + 112q^{52} - 94q^{54} - 88q^{57} + 48q^{58} + 88q^{63} - 224q^{64} - 88q^{67} - 48q^{78} + 78q^{81} + 104q^{82} + 121q^{87} + 132q^{88} - 272q^{93} - 208q^{94} - 56q^{96} + O(q^{100}) \)

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

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