Properties

Label 8020.2.dg
Level $8020$
Weight $2$
Character orbit 8020.dg
Rep. character $\chi_{8020}(307,\cdot)$
Character field $\Q(\zeta_{100})$
Dimension $48080$
Sturm bound $2412$

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Defining parameters

Level: \( N \) \(=\) \( 8020 = 2^{2} \cdot 5 \cdot 401 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 8020.dg (of order \(100\) and degree \(40\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 8020 \)
Character field: \(\Q(\zeta_{100})\)
Sturm bound: \(2412\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(8020, [\chi])\).

Total New Old
Modular forms 48400 48400 0
Cusp forms 48080 48080 0
Eisenstein series 320 320 0

Decomposition of \(S_{2}^{\mathrm{new}}(8020, [\chi])\) into newform subspaces

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