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Properties

Label 1441.2.ca
Level $1441$
Weight $2$
Character orbit 1441.ca
Rep. character $\chi_{1441}(10,\cdot)$
Character field $\Q(\zeta_{130})$
Dimension $6240$
Sturm bound $264$

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Defining parameters

Level: \( N \) \(=\) \( 1441 = 11 \cdot 131 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 1441.ca (of order \(130\) and degree \(48\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1441 \)
Character field: \(\Q(\zeta_{130})\)
Sturm bound: \(264\)

Dimensions

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

Total New Old
Modular forms 6432 6432 0
Cusp forms 6240 6240 0
Eisenstein series 192 192 0

Trace form

\( 6240 q - 94 q^{3} + 30 q^{4} - 94 q^{5} + 16 q^{9} + O(q^{10}) \) \( 6240 q - 94 q^{3} + 30 q^{4} - 94 q^{5} + 16 q^{9} - 49 q^{11} - 184 q^{12} - 94 q^{14} - 110 q^{15} + 18 q^{16} - 36 q^{20} - 87 q^{22} - 224 q^{23} - 12 q^{25} + 174 q^{26} - 82 q^{27} - 134 q^{31} - 45 q^{33} - 138 q^{34} - 54 q^{36} - 124 q^{37} - 90 q^{38} - 120 q^{42} - 86 q^{44} - 246 q^{45} - 104 q^{47} - 110 q^{48} - 178 q^{49} - 210 q^{53} - 220 q^{55} - 154 q^{56} - 58 q^{58} - 92 q^{59} - 368 q^{60} - 58 q^{64} - 7 q^{66} - 134 q^{67} + 208 q^{69} - 60 q^{70} - 104 q^{71} - 112 q^{75} - 114 q^{77} - 200 q^{78} - 360 q^{80} - 44 q^{81} - 64 q^{82} - 104 q^{86} + 43 q^{88} + 36 q^{89} - 56 q^{91} - 104 q^{92} - 184 q^{93} - 108 q^{97} + 74 q^{99} + O(q^{100}) \)

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.