Properties

Label 8016.2.v
Level 8016
Weight 2
Character orbit v
Rep. character \(\chi_{8016}(2339,\cdot)\)
Character field \(\Q(\zeta_{4})\)
Dimension 2656
Sturm bound 2688

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Defining parameters

Level: \( N \) \(=\) \( 8016 = 2^{4} \cdot 3 \cdot 167 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 8016.v (of order \(4\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 48 \)
Character field: \(\Q(i)\)
Sturm bound: \(2688\)

Dimensions

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

Total New Old
Modular forms 2696 2656 40
Cusp forms 2680 2656 24
Eisenstein series 16 0 16

Decomposition of \(S_{2}^{\mathrm{new}}(8016, [\chi])\) into newform subspaces

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

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

\( S_{2}^{\mathrm{old}}(8016, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(48, [\chi])\)\(^{\oplus 2}\)

Hecke characteristic polynomials

There are no characteristic polynomials of Hecke operators in the database