Properties

Label 2001.2.h
Level $2001$
Weight $2$
Character orbit 2001.h
Rep. character $\chi_{2001}(2000,\cdot)$
Character field $\Q$
Dimension $236$
Sturm bound $480$

Related objects

Downloads

Learn more about

Defining parameters

Level: \( N \) \(=\) \( 2001 = 3 \cdot 23 \cdot 29 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2001.h (of order \(2\) and degree \(1\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 2001 \)
Character field: \(\Q\)
Sturm bound: \(480\)

Dimensions

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

Total New Old
Modular forms 244 244 0
Cusp forms 236 236 0
Eisenstein series 8 8 0

Trace form

\( 236q + 224q^{4} - 14q^{6} - 12q^{9} + O(q^{10}) \) \( 236q + 224q^{4} - 14q^{6} - 12q^{9} - 16q^{13} + 232q^{16} - 52q^{24} + 220q^{25} - 58q^{36} - 252q^{49} - 156q^{52} + 28q^{54} + 62q^{58} + 180q^{64} - 106q^{78} - 100q^{81} - 60q^{82} - 36q^{93} + 76q^{94} - 54q^{96} + O(q^{100}) \)

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

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