Properties

Label 5077.2.h
Level $5077$
Weight $2$
Character orbit 5077.h
Rep. character $\chi_{5077}(2402,\cdot)$
Character field $\Q(\zeta_{18})$
Dimension $2532$
Sturm bound $846$

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Defining parameters

Level: \( N \) \(=\) \( 5077 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 5077.h (of order \(18\) and degree \(6\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 5077 \)
Character field: \(\Q(\zeta_{18})\)
Sturm bound: \(846\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(5077, [\chi])\).

Total New Old
Modular forms 2544 2544 0
Cusp forms 2532 2532 0
Eisenstein series 12 12 0

Decomposition of \(S_{2}^{\mathrm{new}}(5077, [\chi])\) into newform subspaces

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