Properties

Label 5292.2.ec
Level $5292$
Weight $2$
Character orbit 5292.ec
Rep. character $\chi_{5292}(85,\cdot)$
Character field $\Q(\zeta_{63})$
Dimension $6048$
Sturm bound $2016$

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Defining parameters

Level: \( N \) \(=\) \( 5292 = 2^{2} \cdot 3^{3} \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 5292.ec (of order \(63\) and degree \(36\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1323 \)
Character field: \(\Q(\zeta_{63})\)
Sturm bound: \(2016\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(5292, [\chi])\).

Total New Old
Modular forms 36504 6048 30456
Cusp forms 36072 6048 30024
Eisenstein series 432 0 432

Decomposition of \(S_{2}^{\mathrm{new}}(5292, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(5292, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(5292, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(1323, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2646, [\chi])\)\(^{\oplus 2}\)