Properties

Label 8020.2.k
Level $8020$
Weight $2$
Character orbit 8020.k
Rep. character $\chi_{8020}(381,\cdot)$
Character field $\Q(\zeta_{4})$
Dimension $268$
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.k (of order \(4\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 401 \)
Character field: \(\Q(i)\)
Sturm bound: \(2412\)

Dimensions

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

Total New Old
Modular forms 2424 268 2156
Cusp forms 2400 268 2132
Eisenstein series 24 0 24

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

\( S_{2}^{\mathrm{old}}(8020, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(1604, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(401, [\chi])\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(802, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2005, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(4010, [\chi])\)\(^{\oplus 2}\)