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Properties

Label 2365.2.db
Level $2365$
Weight $2$
Character orbit 2365.db
Rep. character $\chi_{2365}(142,\cdot)$
Character field $\Q(\zeta_{84})$
Dimension $6240$
Sturm bound $528$

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Defining parameters

Level: \( N \) \(=\) \( 2365 = 5 \cdot 11 \cdot 43 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2365.db (of order \(84\) and degree \(24\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 2365 \)
Character field: \(\Q(\zeta_{84})\)
Sturm bound: \(528\)

Dimensions

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

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

Trace form

\( 6240 q - 52 q^{3} - 60 q^{5} + O(q^{10}) \) \( 6240 q - 52 q^{3} - 60 q^{5} - 40 q^{11} - 112 q^{12} - 52 q^{15} + 952 q^{16} - 68 q^{20} - 52 q^{22} - 68 q^{23} - 60 q^{25} - 120 q^{26} - 16 q^{27} - 120 q^{31} - 40 q^{33} + 2800 q^{36} - 24 q^{37} - 108 q^{38} - 392 q^{42} + 8 q^{47} - 656 q^{48} - 80 q^{53} + 8 q^{55} - 168 q^{56} - 72 q^{58} - 156 q^{60} - 288 q^{66} - 212 q^{67} - 96 q^{70} - 120 q^{71} - 40 q^{75} + 48 q^{77} - 200 q^{78} + 40 q^{80} - 592 q^{81} + 80 q^{82} - 136 q^{86} - 124 q^{88} - 120 q^{91} + 112 q^{92} + 40 q^{93} - 280 q^{97} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

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

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