Properties

Label 8034.2.bz
Level $8034$
Weight $2$
Character orbit 8034.bz
Rep. character $\chi_{8034}(983,\cdot)$
Character field $\Q(\zeta_{12})$
Dimension $1936$
Sturm bound $2912$

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Defining parameters

Level: \( N \) \(=\) \( 8034 = 2 \cdot 3 \cdot 13 \cdot 103 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 8034.bz (of order \(12\) and degree \(4\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 4017 \)
Character field: \(\Q(\zeta_{12})\)
Sturm bound: \(2912\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(8034, [\chi])\).

Total New Old
Modular forms 5856 1936 3920
Cusp forms 5792 1936 3856
Eisenstein series 64 0 64

Decomposition of \(S_{2}^{\mathrm{new}}(8034, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(8034, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(8034, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(4017, [\chi])\)\(^{\oplus 2}\)