Properties

Label 4031.2.bt
Level $4031$
Weight $2$
Character orbit 4031.bt
Rep. character $\chi_{4031}(4,\cdot)$
Character field $\Q(\zeta_{966})$
Dimension $91872$
Sturm bound $700$

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Defining parameters

Level: \( N \) \(=\) \( 4031 = 29 \cdot 139 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 4031.bt (of order \(966\) and degree \(264\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 4031 \)
Character field: \(\Q(\zeta_{966})\)
Sturm bound: \(700\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(4031, [\chi])\).

Total New Old
Modular forms 92928 92928 0
Cusp forms 91872 91872 0
Eisenstein series 1056 1056 0

Decomposition of \(S_{2}^{\mathrm{new}}(4031, [\chi])\) into newform subspaces

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