Properties

Label 2016.2.fl
Level 2016
Weight 2
Character orbit fl
Rep. character \(\chi_{2016}(107,\cdot)\)
Character field \(\Q(\zeta_{24})\)
Dimension 1024
Sturm bound 768

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Defining parameters

Level: \( N \) \(=\) \( 2016 = 2^{5} \cdot 3^{2} \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2016.fl (of order \(24\) and degree \(8\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 672 \)
Character field: \(\Q(\zeta_{24})\)
Sturm bound: \(768\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2016, [\chi])\).

Total New Old
Modular forms 3136 1024 2112
Cusp forms 3008 1024 1984
Eisenstein series 128 0 128

Trace form

\( 1024q + O(q^{10}) \) \( 1024q - 16q^{16} + 128q^{40} - 48q^{52} - 64q^{58} + 192q^{64} + 32q^{67} + 80q^{82} + 96q^{91} + 48q^{94} + O(q^{100}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(2016, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(2016, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(2016, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(672, [\chi])\)\(^{\oplus 2}\)

Hecke characteristic polynomials

There are no characteristic polynomials of Hecke operators in the database