Properties

Label 2365.2.o
Level $2365$
Weight $2$
Character orbit 2365.o
Rep. character $\chi_{2365}(824,\cdot)$
Character field $\Q(\zeta_{6})$
Dimension $520$
Sturm bound $528$

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Defining parameters

Level: \( N \) \(=\) \( 2365 = 5 \cdot 11 \cdot 43 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2365.o (of order \(6\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 2365 \)
Character field: \(\Q(\zeta_{6})\)
Sturm bound: \(528\)

Dimensions

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

Total New Old
Modular forms 536 536 0
Cusp forms 520 520 0
Eisenstein series 16 16 0

Trace form

\( 520 q - 528 q^{4} - 6 q^{5} - 256 q^{9} + O(q^{10}) \) \( 520 q - 528 q^{4} - 6 q^{5} - 256 q^{9} - 12 q^{11} + 14 q^{15} + 536 q^{16} - 18 q^{20} - 2 q^{25} + 12 q^{26} + 4 q^{31} + 48 q^{34} + 252 q^{36} - 12 q^{44} + 212 q^{49} + 96 q^{56} + 40 q^{59} - 14 q^{60} - 464 q^{64} - 2 q^{66} + 12 q^{69} - 84 q^{71} - 12 q^{80} - 228 q^{81} - 48 q^{86} + 24 q^{89} - 36 q^{91} + 14 q^{99} + O(q^{100}) \)

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

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