Properties

Label 7056.2.hu
Level $7056$
Weight $2$
Character orbit 7056.hu
Rep. character $\chi_{7056}(95,\cdot)$
Character field $\Q(\zeta_{42})$
Dimension $4032$
Sturm bound $2688$

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Defining parameters

Level: \( N \) \(=\) \( 7056 = 2^{4} \cdot 3^{2} \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 7056.hu (of order \(42\) and degree \(12\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1764 \)
Character field: \(\Q(\zeta_{42})\)
Sturm bound: \(2688\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(7056, [\chi])\).

Total New Old
Modular forms 16272 4032 12240
Cusp forms 15984 4032 11952
Eisenstein series 288 0 288

Decomposition of \(S_{2}^{\mathrm{new}}(7056, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(7056, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(7056, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(1764, [\chi])\)\(^{\oplus 3}\)