Properties

Label 6724.2.o
Level $6724$
Weight $2$
Character orbit 6724.o
Rep. character $\chi_{6724}(719,\cdot)$
Character field $\Q(\zeta_{40})$
Dimension $12496$
Sturm bound $1722$

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Defining parameters

Level: \( N \) \(=\) \( 6724 = 2^{2} \cdot 41^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 6724.o (of order \(40\) and degree \(16\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 164 \)
Character field: \(\Q(\zeta_{40})\)
Sturm bound: \(1722\)

Dimensions

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

Total New Old
Modular forms 14448 13712 736
Cusp forms 13104 12496 608
Eisenstein series 1344 1216 128

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

\( S_{2}^{\mathrm{old}}(6724, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(164, [\chi])\)\(^{\oplus 2}\)