Properties

Label 4020.2.dm
Level $4020$
Weight $2$
Character orbit 4020.dm
Rep. character $\chi_{4020}(203,\cdot)$
Character field $\Q(\zeta_{132})$
Dimension $32320$
Sturm bound $1632$

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Defining parameters

Level: \( N \) \(=\) \( 4020 = 2^{2} \cdot 3 \cdot 5 \cdot 67 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 4020.dm (of order \(132\) and degree \(40\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 4020 \)
Character field: \(\Q(\zeta_{132})\)
Sturm bound: \(1632\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(4020, [\chi])\).

Total New Old
Modular forms 32960 32960 0
Cusp forms 32320 32320 0
Eisenstein series 640 640 0

Decomposition of \(S_{2}^{\mathrm{new}}(4020, [\chi])\) into newform subspaces

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