Properties

Label 5290.2.g
Level $5290$
Weight $2$
Character orbit 5290.g
Rep. character $\chi_{5290}(501,\cdot)$
Character field $\Q(\zeta_{11})$
Dimension $1680$
Sturm bound $1656$

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Defining parameters

Level: \( N \) \(=\) \( 5290 = 2 \cdot 5 \cdot 23^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 5290.g (of order \(11\) and degree \(10\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 23 \)
Character field: \(\Q(\zeta_{11})\)
Sturm bound: \(1656\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(5290, [\chi])\).

Total New Old
Modular forms 8760 1680 7080
Cusp forms 7800 1680 6120
Eisenstein series 960 0 960

Decomposition of \(S_{2}^{\mathrm{new}}(5290, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(5290, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(5290, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(23, [\chi])\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(46, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(115, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(230, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(529, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1058, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2645, [\chi])\)\(^{\oplus 2}\)