Properties

Label 4020.2.bu
Level $4020$
Weight $2$
Character orbit 4020.bu
Rep. character $\chi_{4020}(163,\cdot)$
Character field $\Q(\zeta_{12})$
Dimension $1632$
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.bu (of order \(12\) and degree \(4\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1340 \)
Character field: \(\Q(\zeta_{12})\)
Sturm bound: \(1632\)

Dimensions

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

Total New Old
Modular forms 3296 1632 1664
Cusp forms 3232 1632 1600
Eisenstein series 64 0 64

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

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

Decomposition of \(S_{2}^{\mathrm{old}}(4020, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(4020, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(1340, [\chi])\)\(^{\oplus 2}\)