Properties

Label 4592.2.id
Level $4592$
Weight $2$
Character orbit 4592.id
Rep. character $\chi_{4592}(101,\cdot)$
Character field $\Q(\zeta_{120})$
Dimension $21376$
Sturm bound $1344$

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Defining parameters

Level: \( N \) \(=\) \( 4592 = 2^{4} \cdot 7 \cdot 41 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 4592.id (of order \(120\) and degree \(32\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 4592 \)
Character field: \(\Q(\zeta_{120})\)
Sturm bound: \(1344\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(4592, [\chi])\).

Total New Old
Modular forms 21632 21632 0
Cusp forms 21376 21376 0
Eisenstein series 256 256 0

Decomposition of \(S_{2}^{\mathrm{new}}(4592, [\chi])\) into newform subspaces

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