Properties

Label 5390.2.ce
Level $5390$
Weight $2$
Character orbit 5390.ce
Rep. character $\chi_{5390}(19,\cdot)$
Character field $\Q(\zeta_{30})$
Dimension $1920$
Sturm bound $2016$

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Defining parameters

Level: \( N \) \(=\) \( 5390 = 2 \cdot 5 \cdot 7^{2} \cdot 11 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 5390.ce (of order \(30\) and degree \(8\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 385 \)
Character field: \(\Q(\zeta_{30})\)
Sturm bound: \(2016\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(5390, [\chi])\).

Total New Old
Modular forms 8320 1920 6400
Cusp forms 7808 1920 5888
Eisenstein series 512 0 512

Decomposition of \(S_{2}^{\mathrm{new}}(5390, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(5390, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(5390, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(385, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(770, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2695, [\chi])\)\(^{\oplus 2}\)