Properties

Label 5586.2.ew
Level $5586$
Weight $2$
Character orbit 5586.ew
Rep. character $\chi_{5586}(53,\cdot)$
Character field $\Q(\zeta_{126})$
Dimension $13464$
Sturm bound $2240$

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Defining parameters

Level: \( N \) \(=\) \( 5586 = 2 \cdot 3 \cdot 7^{2} \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 5586.ew (of order \(126\) and degree \(36\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 2793 \)
Character field: \(\Q(\zeta_{126})\)
Sturm bound: \(2240\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(5586, [\chi])\).

Total New Old
Modular forms 40608 13464 27144
Cusp forms 40032 13464 26568
Eisenstein series 576 0 576

Decomposition of \(S_{2}^{\mathrm{new}}(5586, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(5586, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(5586, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(2793, [\chi])\)\(^{\oplus 2}\)