Properties

Label 5082.2.e
Level $5082$
Weight $2$
Character orbit 5082.e
Rep. character $\chi_{5082}(1693,\cdot)$
Character field $\Q$
Dimension $144$
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.e (of order \(2\) and degree \(1\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 77 \)
Character field: \(\Q\)
Sturm bound: \(2112\)

Dimensions

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

Total New Old
Modular forms 1104 144 960
Cusp forms 1008 144 864
Eisenstein series 96 0 96

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

\( S_{2}^{\mathrm{old}}(5082, [\chi]) \cong \)