Properties

Label 4592.2.ik
Level $4592$
Weight $2$
Character orbit 4592.ik
Rep. character $\chi_{4592}(135,\cdot)$
Character field $\Q(\zeta_{120})$
Dimension $0$
Newform subspaces $0$
Sturm bound $1344$
Trace bound $0$

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Defining parameters

Level: \( N \) \(=\) \( 4592 = 2^{4} \cdot 7 \cdot 41 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 4592.ik (of order \(120\) and degree \(32\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 2296 \)
Character field: \(\Q(\zeta_{120})\)
Newform subspaces: \( 0 \)
Sturm bound: \(1344\)
Trace bound: \(0\)

Dimensions

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

Total New Old
Modular forms 21760 0 21760
Cusp forms 21248 0 21248
Eisenstein series 512 0 512

Decomposition of \(S_{2}^{\mathrm{old}}(4592, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(4592, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(2296, [\chi])\)\(^{\oplus 2}\)