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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 $480$

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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

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

Display 100 coefficients 10 coefficients

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

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