Properties

Label 4006.2.c
Level $4006$
Weight $2$
Character orbit 4006.c
Rep. character $\chi_{4006}(485,\cdot)$
Character field $\Q(\zeta_{7})$
Dimension $1002$
Sturm bound $1002$

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Defining parameters

Level: \( N \) \(=\) \( 4006 = 2 \cdot 2003 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 4006.c (of order \(7\) and degree \(6\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 2003 \)
Character field: \(\Q(\zeta_{7})\)
Sturm bound: \(1002\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(4006, [\chi])\).

Total New Old
Modular forms 3018 1002 2016
Cusp forms 2994 1002 1992
Eisenstein series 24 0 24

Decomposition of \(S_{2}^{\mathrm{new}}(4006, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(4006, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(4006, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(2003, [\chi])\)\(^{\oplus 2}\)