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Properties

Label 1441.2.d
Level $1441$
Weight $2$
Character orbit 1441.d
Rep. character $\chi_{1441}(1440,\cdot)$
Character field $\Q$
Dimension $130$
Sturm bound $264$

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Defining parameters

Level: \( N \) \(=\) \( 1441 = 11 \cdot 131 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 1441.d (of order \(2\) and degree \(1\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1441 \)
Character field: \(\Q\)
Sturm bound: \(264\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1441, [\chi])\).

Total New Old
Modular forms 134 134 0
Cusp forms 130 130 0
Eisenstein series 4 4 0

Trace form

\( 130 q + 124 q^{4} + 110 q^{9} + O(q^{10}) \) \( 130 q + 124 q^{4} + 110 q^{9} - 2 q^{11} - 12 q^{12} - 16 q^{15} + 112 q^{16} - 32 q^{20} + 82 q^{25} + 12 q^{27} + 23 q^{33} + 36 q^{34} + 20 q^{36} - 16 q^{38} - 10 q^{44} + 18 q^{45} - 36 q^{48} - 194 q^{49} + 18 q^{53} - 4 q^{55} + 32 q^{59} - 76 q^{60} + 16 q^{64} - 18 q^{75} - 12 q^{77} - 68 q^{80} + 50 q^{81} - 6 q^{89} - 52 q^{91} - 14 q^{99} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{2}^{\mathrm{new}}(1441, [\chi])\) into newform subspaces

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