Properties

Label 4021.2.o
Level $4021$
Weight $2$
Character orbit 4021.o
Rep. character $\chi_{4021}(77,\cdot)$
Character field $\Q(\zeta_{201})$
Dimension $44088$
Sturm bound $670$

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Defining parameters

Level: \( N \) \(=\) \( 4021 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 4021.o (of order \(201\) and degree \(132\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 4021 \)
Character field: \(\Q(\zeta_{201})\)
Sturm bound: \(670\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(4021, [\chi])\).

Total New Old
Modular forms 44352 44352 0
Cusp forms 44088 44088 0
Eisenstein series 264 264 0

Decomposition of \(S_{2}^{\mathrm{new}}(4021, [\chi])\) into newform subspaces

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