Properties

Label 5610.2.ch
Level $5610$
Weight $2$
Character orbit 5610.ch
Rep. character $\chi_{5610}(239,\cdot)$
Character field $\Q(\zeta_{10})$
Dimension $1536$
Sturm bound $2592$

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Defining parameters

Level: \( N \) \(=\) \( 5610 = 2 \cdot 3 \cdot 5 \cdot 11 \cdot 17 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 5610.ch (of order \(10\) and degree \(4\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 165 \)
Character field: \(\Q(\zeta_{10})\)
Sturm bound: \(2592\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(5610, [\chi])\).

Total New Old
Modular forms 5248 1536 3712
Cusp forms 5120 1536 3584
Eisenstein series 128 0 128

Decomposition of \(S_{2}^{\mathrm{new}}(5610, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(5610, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(5610, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(165, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(330, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2805, [\chi])\)\(^{\oplus 2}\)