Properties

Label 4598.2.y
Level $4598$
Weight $2$
Character orbit 4598.y
Rep. character $\chi_{4598}(45,\cdot)$
Character field $\Q(\zeta_{33})$
Dimension $4400$
Sturm bound $1320$

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Defining parameters

Level: \( N \) \(=\) \( 4598 = 2 \cdot 11^{2} \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 4598.y (of order \(33\) and degree \(20\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 2299 \)
Character field: \(\Q(\zeta_{33})\)
Sturm bound: \(1320\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(4598, [\chi])\).

Total New Old
Modular forms 13280 4400 8880
Cusp forms 13120 4400 8720
Eisenstein series 160 0 160

Decomposition of \(S_{2}^{\mathrm{new}}(4598, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(4598, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(4598, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(2299, [\chi])\)\(^{\oplus 2}\)