Properties

Label 1441.2.bd
Level $1441$
Weight $2$
Character orbit 1441.bd
Rep. character $\chi_{1441}(32,\cdot)$
Character field $\Q(\zeta_{26})$
Dimension $1560$
Sturm bound $264$

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Defining parameters

Level: \( N \) \(=\) \( 1441 = 11 \cdot 131 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 1441.bd (of order \(26\) and degree \(12\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1441 \)
Character field: \(\Q(\zeta_{26})\)
Sturm bound: \(264\)

Dimensions

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

Total New Old
Modular forms 1608 1608 0
Cusp forms 1560 1560 0
Eisenstein series 48 48 0

Trace form

\( 1560 q - 26 q^{3} - 150 q^{4} - 26 q^{5} - 136 q^{9} + O(q^{10}) \) \( 1560 q - 26 q^{3} - 150 q^{4} - 26 q^{5} - 136 q^{9} - 11 q^{11} + 64 q^{12} - 26 q^{14} - 10 q^{15} - 138 q^{16} - 124 q^{20} - 13 q^{22} + 104 q^{23} - 108 q^{25} - 234 q^{26} - 38 q^{27} - 26 q^{31} - 75 q^{33} - 62 q^{34} - 46 q^{36} - 26 q^{37} - 10 q^{38} + 36 q^{44} + 86 q^{45} - 26 q^{47} + 10 q^{48} + 168 q^{49} + 60 q^{53} + 95 q^{55} - 26 q^{56} - 52 q^{58} - 58 q^{59} + 258 q^{60} - 42 q^{64} - 13 q^{66} - 26 q^{67} - 338 q^{69} - 26 q^{71} - 8 q^{75} - q^{77} + 250 q^{80} - 76 q^{81} - 26 q^{82} - 26 q^{86} - 13 q^{88} - 176 q^{89} + 26 q^{91} - 26 q^{92} - 26 q^{93} + 208 q^{97} + q^{99} + O(q^{100}) \)

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

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