Properties

Label 3920.2.fl
Level $3920$
Weight $2$
Character orbit 3920.fl
Rep. character $\chi_{3920}(207,\cdot)$
Character field $\Q(\zeta_{84})$
Dimension $4032$
Sturm bound $1344$

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Defining parameters

Level: \( N \) \(=\) \( 3920 = 2^{4} \cdot 5 \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 3920.fl (of order \(84\) and degree \(24\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 980 \)
Character field: \(\Q(\zeta_{84})\)
Sturm bound: \(1344\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(3920, [\chi])\).

Total New Old
Modular forms 16416 4032 12384
Cusp forms 15840 4032 11808
Eisenstein series 576 0 576

Trace form

\( 4032q + O(q^{10}) \) \( 4032q - 24q^{21} - 24q^{33} + 48q^{41} - 48q^{73} + 24q^{77} - 528q^{81} + 48q^{85} - 48q^{97} + O(q^{100}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(3920, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(3920, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(3920, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(980, [\chi])\)\(^{\oplus 3}\)