Properties

Label 4560.2.fa
Level $4560$
Weight $2$
Character orbit 4560.fa
Rep. character $\chi_{4560}(2197,\cdot)$
Character field $\Q(\zeta_{12})$
Dimension $1920$
Sturm bound $1920$

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Defining parameters

Level: \( N \) \(=\) \( 4560 = 2^{4} \cdot 3 \cdot 5 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 4560.fa (of order \(12\) and degree \(4\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1520 \)
Character field: \(\Q(\zeta_{12})\)
Sturm bound: \(1920\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(4560, [\chi])\).

Total New Old
Modular forms 3872 1920 1952
Cusp forms 3808 1920 1888
Eisenstein series 64 0 64

Decomposition of \(S_{2}^{\mathrm{new}}(4560, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(4560, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(4560, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(1520, [\chi])\)\(^{\oplus 2}\)