Properties

Label 2001.2.o
Level $2001$
Weight $2$
Character orbit 2001.o
Rep. character $\chi_{2001}(689,\cdot)$
Character field $\Q(\zeta_{14})$
Dimension $1416$
Sturm bound $480$

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Defining parameters

Level: \( N \) \(=\) \( 2001 = 3 \cdot 23 \cdot 29 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2001.o (of order \(14\) and degree \(6\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 2001 \)
Character field: \(\Q(\zeta_{14})\)
Sturm bound: \(480\)

Dimensions

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

Total New Old
Modular forms 1464 1464 0
Cusp forms 1416 1416 0
Eisenstein series 48 48 0

Trace form

\( 1416q - 14q^{3} - 252q^{4} - 28q^{6} - 2q^{9} + O(q^{10}) \) \( 1416q - 14q^{3} - 252q^{4} - 28q^{6} - 2q^{9} - 40q^{13} - 260q^{16} - 14q^{18} - 74q^{24} - 248q^{25} + 28q^{27} - 28q^{31} - 40q^{36} - 56q^{39} + 63q^{48} + 112q^{49} + 16q^{52} + 42q^{54} - 84q^{55} - 90q^{58} - 110q^{64} + 49q^{69} - 56q^{72} - 28q^{73} - 48q^{78} + 30q^{81} + 32q^{82} + 252q^{85} - 14q^{87} - 62q^{93} + 64q^{94} - 51q^{96} + O(q^{100}) \)

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

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