Properties

Label 5082.2.s
Level $5082$
Weight $2$
Character orbit 5082.s
Rep. character $\chi_{5082}(251,\cdot)$
Character field $\Q(\zeta_{10})$
Dimension $1152$
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.s (of order \(10\) and degree \(4\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 231 \)
Character field: \(\Q(\zeta_{10})\)
Sturm bound: \(2112\)

Dimensions

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

Total New Old
Modular forms 4416 1152 3264
Cusp forms 4032 1152 2880
Eisenstein series 384 0 384

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

\( S_{2}^{\mathrm{old}}(5082, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(231, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(462, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2541, [\chi])\)\(^{\oplus 2}\)