Properties

Label 2365.2.bp
Level $2365$
Weight $2$
Character orbit 2365.bp
Rep. character $\chi_{2365}(42,\cdot)$
Character field $\Q(\zeta_{20})$
Dimension $2080$
Sturm bound $528$

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Defining parameters

Level: \( N \) \(=\) \( 2365 = 5 \cdot 11 \cdot 43 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2365.bp (of order \(20\) and degree \(8\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 2365 \)
Character field: \(\Q(\zeta_{20})\)
Sturm bound: \(528\)

Dimensions

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

Total New Old
Modular forms 2144 2144 0
Cusp forms 2080 2080 0
Eisenstein series 64 64 0

Trace form

\( 2080 q - 24 q^{6} + O(q^{10}) \) \( 2080 q - 24 q^{6} - 32 q^{11} - 28 q^{13} - 12 q^{15} + 456 q^{16} - 24 q^{17} - 64 q^{21} - 4 q^{25} + 8 q^{31} - 20 q^{35} - 568 q^{36} + 132 q^{38} + 4 q^{40} - 24 q^{41} + 28 q^{43} - 36 q^{47} - 108 q^{52} - 16 q^{53} + 104 q^{56} + 12 q^{57} - 52 q^{58} - 212 q^{60} + 92 q^{66} + 32 q^{67} - 172 q^{68} + 56 q^{78} + 496 q^{81} + 44 q^{83} + 4 q^{86} - 72 q^{87} + 144 q^{90} - 100 q^{92} - 8 q^{95} - 76 q^{96} + 60 q^{97} + O(q^{100}) \)

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

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