Properties

Label 4235.2.dl
Level $4235$
Weight $2$
Character orbit 4235.dl
Rep. character $\chi_{4235}(61,\cdot)$
Character field $\Q(\zeta_{330})$
Dimension $28160$
Sturm bound $1056$

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Defining parameters

Level: \( N \) \(=\) \( 4235 = 5 \cdot 7 \cdot 11^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 4235.dl (of order \(330\) and degree \(80\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 847 \)
Character field: \(\Q(\zeta_{330})\)
Sturm bound: \(1056\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(4235, [\chi])\).

Total New Old
Modular forms 42560 28160 14400
Cusp forms 41920 28160 13760
Eisenstein series 640 0 640

Decomposition of \(S_{2}^{\mathrm{new}}(4235, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(4235, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(4235, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(847, [\chi])\)\(^{\oplus 2}\)