Properties

Label 2365.2.f
Level $2365$
Weight $2$
Character orbit 2365.f
Rep. character $\chi_{2365}(1891,\cdot)$
Character field $\Q$
Dimension $176$
Sturm bound $528$

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Defining parameters

Level: \( N \) \(=\) \( 2365 = 5 \cdot 11 \cdot 43 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2365.f (of order \(2\) and degree \(1\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 473 \)
Character field: \(\Q\)
Sturm bound: \(528\)

Dimensions

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

Total New Old
Modular forms 268 176 92
Cusp forms 260 176 84
Eisenstein series 8 0 8

Trace form

\( 176 q + 184 q^{4} - 152 q^{9} + O(q^{10}) \) \( 176 q + 184 q^{4} - 152 q^{9} - 6 q^{11} + 224 q^{16} - 4 q^{23} - 176 q^{25} - 28 q^{31} - 160 q^{36} - 16 q^{38} - 20 q^{44} - 8 q^{47} + 160 q^{49} + 36 q^{53} + 44 q^{56} - 72 q^{58} - 16 q^{59} - 28 q^{60} + 280 q^{64} - 58 q^{66} + 60 q^{67} + 72 q^{78} + 160 q^{81} + 44 q^{86} - 64 q^{92} + 20 q^{97} + 54 q^{99} + O(q^{100}) \)

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

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

Decomposition of \(S_{2}^{\mathrm{old}}(2365, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(2365, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(473, [\chi])\)\(^{\oplus 2}\)