Properties

Label 2365.2.de
Level $2365$
Weight $2$
Character orbit 2365.de
Rep. character $\chi_{2365}(27,\cdot)$
Character field $\Q(\zeta_{140})$
Dimension $12480$
Sturm bound $528$

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Defining parameters

Level: \( N \) \(=\) \( 2365 = 5 \cdot 11 \cdot 43 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2365.de (of order \(140\) and degree \(48\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 2365 \)
Character field: \(\Q(\zeta_{140})\)
Sturm bound: \(528\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2365, [\chi])\).

Total New Old
Modular forms 12864 12864 0
Cusp forms 12480 12480 0
Eisenstein series 384 384 0

Trace form

\( 12480 q - 42 q^{2} - 42 q^{3} - 42 q^{5} - 144 q^{6} - 42 q^{8} + O(q^{10}) \) \( 12480 q - 42 q^{2} - 42 q^{3} - 42 q^{5} - 144 q^{6} - 42 q^{8} - 112 q^{10} - 80 q^{11} - 56 q^{12} - 70 q^{13} - 30 q^{15} - 596 q^{16} - 18 q^{17} + 42 q^{18} - 42 q^{20} - 160 q^{21} - 56 q^{22} - 112 q^{23} - 38 q^{25} - 84 q^{26} - 42 q^{27} + 70 q^{28} + 98 q^{30} - 92 q^{31} - 112 q^{32} - 84 q^{33} - 22 q^{35} - 2960 q^{36} + 78 q^{38} - 46 q^{40} - 60 q^{41} - 280 q^{43} - 112 q^{45} - 84 q^{46} - 6 q^{47} + 462 q^{48} - 420 q^{51} + 66 q^{52} - 26 q^{53} - 56 q^{55} - 328 q^{56} - 54 q^{57} + 10 q^{58} - 82 q^{60} - 84 q^{61} - 210 q^{62} + 154 q^{63} + 56 q^{65} + 76 q^{66} + 80 q^{67} - 38 q^{68} - 42 q^{70} - 84 q^{71} - 238 q^{72} - 182 q^{73} - 42 q^{75} - 224 q^{76} - 224 q^{77} - 580 q^{81} - 294 q^{82} + 26 q^{83} - 88 q^{86} - 152 q^{87} - 84 q^{88} - 18 q^{90} - 84 q^{91} - 264 q^{92} - 202 q^{95} + 328 q^{96} + 150 q^{97} + 28 q^{98} + O(q^{100}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(2365, [\chi])\) into newform subspaces

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