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Properties

Label 1001.2.dq
Level $1001$
Weight $2$
Character orbit 1001.dq
Rep. character $\chi_{1001}(129,\cdot)$
Character field $\Q(\zeta_{30})$
Dimension $864$
Sturm bound $224$

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Defining parameters

Level: \( N \) \(=\) \( 1001 = 7 \cdot 11 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 1001.dq (of order \(30\) and degree \(8\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1001 \)
Character field: \(\Q(\zeta_{30})\)
Sturm bound: \(224\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1001, [\chi])\).

Total New Old
Modular forms 928 928 0
Cusp forms 864 864 0
Eisenstein series 64 64 0

Trace form

\( 864 q - 18 q^{3} + 98 q^{4} - 94 q^{9} + O(q^{10}) \) \( 864 q - 18 q^{3} + 98 q^{4} - 94 q^{9} - 72 q^{12} - 52 q^{14} + 106 q^{16} - 60 q^{17} + 60 q^{22} - 16 q^{23} + 86 q^{25} - 45 q^{26} - 60 q^{29} + 50 q^{30} - 70 q^{35} + 152 q^{36} - 60 q^{38} - 45 q^{39} - 30 q^{40} - 46 q^{42} - 104 q^{49} - 110 q^{51} - 15 q^{52} + 50 q^{53} - 20 q^{56} - 30 q^{61} - 224 q^{64} - 90 q^{66} - 180 q^{68} - 10 q^{74} - 114 q^{75} + 18 q^{77} + 140 q^{78} - 10 q^{79} + 62 q^{81} - 90 q^{82} + 56 q^{88} + 36 q^{91} - 12 q^{92} + 240 q^{94} - 10 q^{95} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{2}^{\mathrm{new}}(1001, [\chi])\) into newform subspaces

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