Properties

Label 8016.2.bg
Level 8016
Weight 2
Character orbit bg
Rep. character \(\chi_{8016}(41,\cdot)\)
Character field \(\Q(\zeta_{166})\)
Dimension 0
Newform subspaces 0
Sturm bound 2688
Trace bound 0

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Defining parameters

Level: \( N \) \(=\) \( 8016 = 2^{4} \cdot 3 \cdot 167 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 8016.bg (of order \(166\) and degree \(82\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 4008 \)
Character field: \(\Q(\zeta_{166})\)
Newform subspaces: \( 0 \)
Sturm bound: \(2688\)
Trace bound: \(0\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(8016, [\chi])\).

Total New Old
Modular forms 110864 0 110864
Cusp forms 109552 0 109552
Eisenstein series 1312 0 1312

Decomposition of \(S_{2}^{\mathrm{old}}(8016, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(8016, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(4008, [\chi])\)\(^{\oplus 2}\)

Hecke characteristic polynomials

There are no characteristic polynomials of Hecke operators in the database