Properties

Label 8020.2.bk
Level $8020$
Weight $2$
Character orbit 8020.bk
Rep. character $\chi_{8020}(371,\cdot)$
Character field $\Q(\zeta_{16})$
Dimension $6432$
Sturm bound $2412$

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Defining parameters

Level: \( N \) \(=\) \( 8020 = 2^{2} \cdot 5 \cdot 401 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 8020.bk (of order \(16\) and degree \(8\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1604 \)
Character field: \(\Q(\zeta_{16})\)
Sturm bound: \(2412\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(8020, [\chi])\).

Total New Old
Modular forms 9680 6432 3248
Cusp forms 9616 6432 3184
Eisenstein series 64 0 64

Decomposition of \(S_{2}^{\mathrm{new}}(8020, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(8020, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(8020, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(1604, [\chi])\)\(^{\oplus 2}\)