Properties

Label 6720.2.if
Level $6720$
Weight $2$
Character orbit 6720.if
Rep. character $\chi_{6720}(461,\cdot)$
Character field $\Q(\zeta_{16})$
Dimension $8192$
Sturm bound $3072$

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Defining parameters

Level: \( N \) \(=\) \( 6720 = 2^{6} \cdot 3 \cdot 5 \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 6720.if (of order \(16\) and degree \(8\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1344 \)
Character field: \(\Q(\zeta_{16})\)
Sturm bound: \(3072\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(6720, [\chi])\).

Total New Old
Modular forms 12352 8192 4160
Cusp forms 12224 8192 4032
Eisenstein series 128 0 128

Decomposition of \(S_{2}^{\mathrm{new}}(6720, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(6720, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(6720, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(1344, [\chi])\)\(^{\oplus 2}\)