Properties

Label 4034.2.h
Level $4034$
Weight $2$
Character orbit 4034.h
Rep. character $\chi_{4034}(1005,\cdot)$
Character field $\Q(\zeta_{9})$
Dimension $1008$
Sturm bound $1009$

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Defining parameters

Level: \( N \) \(=\) \( 4034 = 2 \cdot 2017 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 4034.h (of order \(9\) and degree \(6\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 2017 \)
Character field: \(\Q(\zeta_{9})\)
Sturm bound: \(1009\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(4034, [\chi])\).

Total New Old
Modular forms 3036 1008 2028
Cusp forms 3012 1008 2004
Eisenstein series 24 0 24

Decomposition of \(S_{2}^{\mathrm{new}}(4034, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(4034, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(4034, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(2017, [\chi])\)\(^{\oplus 2}\)