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Properties

Label 1449.2.y
Level $1449$
Weight $2$
Character orbit 1449.y
Rep. character $\chi_{1449}(850,\cdot)$
Character field $\Q(\zeta_{6})$
Dimension $376$
Sturm bound $384$

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Defining parameters

Level: \( N \) \(=\) \( 1449 = 3^{2} \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 1449.y (of order \(6\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1449 \)
Character field: \(\Q(\zeta_{6})\)
Sturm bound: \(384\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1449, [\chi])\).

Total New Old
Modular forms 392 392 0
Cusp forms 376 376 0
Eisenstein series 16 16 0

Trace form

\( 376 q + 2 q^{2} - 6 q^{3} - 182 q^{4} + 12 q^{6} - 24 q^{8} - 6 q^{9} + O(q^{10}) \) \( 376 q + 2 q^{2} - 6 q^{3} - 182 q^{4} + 12 q^{6} - 24 q^{8} - 6 q^{9} - 6 q^{12} - 170 q^{16} + 30 q^{18} - 16 q^{23} + 12 q^{24} + 340 q^{25} - 48 q^{26} - 18 q^{27} - 16 q^{29} - 6 q^{31} + 26 q^{32} - 18 q^{35} - 36 q^{36} + 2 q^{39} - 24 q^{41} - 12 q^{46} - 42 q^{47} + 54 q^{48} + 22 q^{49} + 6 q^{50} - 42 q^{54} + 12 q^{58} - 36 q^{59} + 280 q^{64} - 30 q^{69} - 36 q^{70} + 16 q^{71} - 22 q^{72} - 12 q^{73} - 36 q^{75} + 76 q^{77} + 16 q^{78} - 22 q^{81} - 24 q^{82} + 6 q^{85} - 90 q^{87} + 54 q^{92} + 68 q^{93} - 6 q^{94} + 14 q^{95} - 36 q^{96} + 54 q^{98} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{2}^{\mathrm{new}}(1449, [\chi])\) into newform subspaces

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