Properties

Label 4235.2.be
Level $4235$
Weight $2$
Character orbit 4235.be
Rep. character $\chi_{4235}(122,\cdot)$
Character field $\Q(\zeta_{12})$
Dimension $1672$
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.be (of order \(12\) and degree \(4\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 35 \)
Character field: \(\Q(\zeta_{12})\)
Sturm bound: \(1056\)

Dimensions

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

Total New Old
Modular forms 2208 1816 392
Cusp forms 2016 1672 344
Eisenstein series 192 144 48

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

\( S_{2}^{\mathrm{old}}(4235, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(35, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(385, [\chi])\)\(^{\oplus 2}\)