Properties

Label 8021.2.n
Level $8021$
Weight $2$
Character orbit 8021.n
Rep. character $\chi_{8021}(1850,\cdot)$
Character field $\Q(\zeta_{6})$
Dimension $1440$
Sturm bound $1442$

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Defining parameters

Level: \( N \) \(=\) \( 8021 = 13 \cdot 617 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 8021.n (of order \(6\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 8021 \)
Character field: \(\Q(\zeta_{6})\)
Sturm bound: \(1442\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(8021, [\chi])\).

Total New Old
Modular forms 1448 1448 0
Cusp forms 1440 1440 0
Eisenstein series 8 8 0

Decomposition of \(S_{2}^{\mathrm{new}}(8021, [\chi])\) into newform subspaces

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