Properties

Label 5850.2.be
Level $5850$
Weight $2$
Character orbit 5850.be
Rep. character $\chi_{5850}(3949,\cdot)$
Character field $\Q(\zeta_{6})$
Dimension $504$
Sturm bound $2520$

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Defining parameters

Level: \( N \) \(=\) \( 5850 = 2 \cdot 3^{2} \cdot 5^{2} \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 5850.be (of order \(6\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 585 \)
Character field: \(\Q(\zeta_{6})\)
Sturm bound: \(2520\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(5850, [\chi])\).

Total New Old
Modular forms 2568 504 2064
Cusp forms 2472 504 1968
Eisenstein series 96 0 96

Decomposition of \(S_{2}^{\mathrm{new}}(5850, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(5850, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(5850, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(585, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1170, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2925, [\chi])\)\(^{\oplus 2}\)