Properties

Label 4592.2.ba
Level $4592$
Weight $2$
Character orbit 4592.ba
Rep. character $\chi_{4592}(83,\cdot)$
Character field $\Q(\zeta_{4})$
Dimension $1280$
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.ba (of order \(4\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 112 \)
Character field: \(\Q(i)\)
Sturm bound: \(1344\)

Dimensions

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

Total New Old
Modular forms 1352 1280 72
Cusp forms 1336 1280 56
Eisenstein series 16 0 16

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

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

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

\( S_{2}^{\mathrm{old}}(4592, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(112, [\chi])\)\(^{\oplus 2}\)