Properties

Label 6724.2.t
Level $6724$
Weight $2$
Character orbit 6724.t
Rep. character $\chi_{6724}(81,\cdot)$
Character field $\Q(\zeta_{82})$
Dimension $5760$
Sturm bound $1722$

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Defining parameters

Level: \( N \) \(=\) \( 6724 = 2^{2} \cdot 41^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 6724.t (of order \(82\) and degree \(40\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1681 \)
Character field: \(\Q(\zeta_{82})\)
Sturm bound: \(1722\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(6724, [\chi])\).

Total New Old
Modular forms 34560 5760 28800
Cusp forms 34320 5760 28560
Eisenstein series 240 0 240

Decomposition of \(S_{2}^{\mathrm{new}}(6724, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(6724, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(6724, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(1681, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(3362, [\chi])\)\(^{\oplus 2}\)