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Properties

Label 1287.2.ca
Level $1287$
Weight $2$
Character orbit 1287.ca
Rep. character $\chi_{1287}(175,\cdot)$
Character field $\Q(\zeta_{12})$
Dimension $656$
Sturm bound $336$

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Defining parameters

Level: \( N \) \(=\) \( 1287 = 3^{2} \cdot 11 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 1287.ca (of order \(12\) and degree \(4\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1287 \)
Character field: \(\Q(\zeta_{12})\)
Sturm bound: \(336\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1287, [\chi])\).

Total New Old
Modular forms 688 688 0
Cusp forms 656 656 0
Eisenstein series 32 32 0

Trace form

\( 656 q - 4 q^{3} - 4 q^{5} - 4 q^{9} + O(q^{10}) \) \( 656 q - 4 q^{3} - 4 q^{5} - 4 q^{9} + 6 q^{11} + 36 q^{12} - 8 q^{14} + 20 q^{15} - 616 q^{16} + 52 q^{20} - 4 q^{22} - 12 q^{23} + 16 q^{26} - 40 q^{27} - 4 q^{31} - 8 q^{33} + 12 q^{34} - 108 q^{36} - 16 q^{37} + 72 q^{38} + 4 q^{44} - 4 q^{45} - 28 q^{47} - 56 q^{48} - 12 q^{49} - 4 q^{55} + 84 q^{56} + 28 q^{58} - 4 q^{59} - 20 q^{60} - 20 q^{66} - 4 q^{67} - 12 q^{69} - 8 q^{70} - 48 q^{71} - 48 q^{75} + 72 q^{77} + 68 q^{78} - 4 q^{80} - 124 q^{81} - 24 q^{82} + 132 q^{86} - 56 q^{89} - 16 q^{91} + 44 q^{92} + 16 q^{93} - 4 q^{97} - 24 q^{99} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{2}^{\mathrm{new}}(1287, [\chi])\) into newform subspaces

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