Properties

Label 4034.2.m
Level $4034$
Weight $2$
Character orbit 4034.m
Rep. character $\chi_{4034}(899,\cdot)$
Character field $\Q(\zeta_{21})$
Dimension $2040$
Sturm bound $1009$

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Defining parameters

Level: \( N \) \(=\) \( 4034 = 2 \cdot 2017 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 4034.m (of order \(21\) and degree \(12\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 2017 \)
Character field: \(\Q(\zeta_{21})\)
Sturm bound: \(1009\)

Dimensions

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

Total New Old
Modular forms 6072 2040 4032
Cusp forms 6024 2040 3984
Eisenstein series 48 0 48

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

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