Properties

Label 4235.2.cd
Level $4235$
Weight $2$
Character orbit 4235.cd
Rep. character $\chi_{4235}(43,\cdot)$
Character field $\Q(\zeta_{44})$
Dimension $7920$
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.cd (of order \(44\) and degree \(20\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 605 \)
Character field: \(\Q(\zeta_{44})\)
Sturm bound: \(1056\)

Dimensions

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

Total New Old
Modular forms 10640 7920 2720
Cusp forms 10480 7920 2560
Eisenstein series 160 0 160

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

\( S_{2}^{\mathrm{old}}(4235, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(605, [\chi])\)\(^{\oplus 2}\)