Properties

Label 4560.2.jf
Level $4560$
Weight $2$
Character orbit 4560.jf
Rep. character $\chi_{4560}(899,\cdot)$
Character field $\Q(\zeta_{36})$
Dimension $11424$
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.jf (of order \(36\) and degree \(12\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 4560 \)
Character field: \(\Q(\zeta_{36})\)
Sturm bound: \(1920\)

Dimensions

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

Total New Old
Modular forms 11616 11616 0
Cusp forms 11424 11424 0
Eisenstein series 192 192 0

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

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