Properties

Label 2001.2.s
Level $2001$
Weight $2$
Character orbit 2001.s
Rep. character $\chi_{2001}(344,\cdot)$
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.s (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

\( 1416q - 10q^{3} + 212q^{4} + 8q^{6} - 18q^{9} + O(q^{10}) \) \( 1416q - 10q^{3} + 212q^{4} + 8q^{6} - 18q^{9} - 14q^{12} - 292q^{16} - 24q^{18} - 58q^{24} - 232q^{25} + 20q^{27} - 36q^{31} - 56q^{36} + 44q^{39} + 72q^{46} - 97q^{48} + 352q^{49} - 88q^{52} - 46q^{54} + 100q^{55} - 58q^{58} - 46q^{64} - 51q^{69} - 320q^{70} - 64q^{72} + 20q^{73} - 16q^{75} + 124q^{78} - 34q^{81} - 40q^{82} - 92q^{85} - 62q^{87} + 66q^{93} - 208q^{94} + 5q^{96} + O(q^{100}) \)

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

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