Properties

Label 4235.2.dp
Level $4235$
Weight $2$
Character orbit 4235.dp
Rep. character $\chi_{4235}(38,\cdot)$
Character field $\Q(\zeta_{660})$
Dimension $83840$
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.dp (of order \(660\) and degree \(160\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 4235 \)
Character field: \(\Q(\zeta_{660})\)
Sturm bound: \(1056\)

Dimensions

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

Total New Old
Modular forms 85120 85120 0
Cusp forms 83840 83840 0
Eisenstein series 1280 1280 0

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

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