Properties

Label 8016.2.bb
Level 8016
Weight 2
Character orbit bb
Rep. character \(\chi_{8016}(17,\cdot)\)
Character field \(\Q(\zeta_{166})\)
Dimension 27388
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.bb (of order \(166\) and degree \(82\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 501 \)
Character field: \(\Q(\zeta_{166})\)
Sturm bound: \(2688\)

Dimensions

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

Total New Old
Modular forms 111192 27716 83476
Cusp forms 109224 27388 81836
Eisenstein series 1968 328 1640

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

\( S_{2}^{\mathrm{old}}(8016, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(501, [\chi])\)\(^{\oplus 5}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1002, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2004, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(4008, [\chi])\)\(^{\oplus 2}\)

Hecke characteristic polynomials

There are no characteristic polynomials of Hecke operators in the database