Properties

Label 5290.2.e
Level $5290$
Weight $2$
Character orbit 5290.e
Rep. character $\chi_{5290}(1057,\cdot)$
Character field $\Q(\zeta_{4})$
Dimension $504$
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.e (of order \(4\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 115 \)
Character field: \(\Q(i)\)
Sturm bound: \(1656\)

Dimensions

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

Total New Old
Modular forms 1752 504 1248
Cusp forms 1560 504 1056
Eisenstein series 192 0 192

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

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