Properties

Label 5082.2.ce
Level $5082$
Weight $2$
Character orbit 5082.ce
Rep. character $\chi_{5082}(25,\cdot)$
Character field $\Q(\zeta_{165})$
Dimension $14080$
Sturm bound $2112$

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Defining parameters

Level: \( N \) \(=\) \( 5082 = 2 \cdot 3 \cdot 7 \cdot 11^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 5082.ce (of order \(165\) and degree \(80\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 847 \)
Character field: \(\Q(\zeta_{165})\)
Sturm bound: \(2112\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(5082, [\chi])\).

Total New Old
Modular forms 85120 14080 71040
Cusp forms 83840 14080 69760
Eisenstein series 1280 0 1280

Decomposition of \(S_{2}^{\mathrm{new}}(5082, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(5082, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(5082, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(847, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1694, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2541, [\chi])\)\(^{\oplus 2}\)