Properties

Label 6760.2.by
Level $6760$
Weight $2$
Character orbit 6760.by
Rep. character $\chi_{6760}(5261,\cdot)$
Character field $\Q(\zeta_{6})$
Dimension $1232$
Sturm bound $2184$

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Defining parameters

Level: \( N \) \(=\) \( 6760 = 2^{3} \cdot 5 \cdot 13^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 6760.by (of order \(6\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 104 \)
Character field: \(\Q(\zeta_{6})\)
Sturm bound: \(2184\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(6760, [\chi])\).

Total New Old
Modular forms 2240 1232 1008
Cusp forms 2128 1232 896
Eisenstein series 112 0 112

Decomposition of \(S_{2}^{\mathrm{new}}(6760, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(6760, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(6760, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(520, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(104, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1352, [\chi])\)\(^{\oplus 2}\)