Properties

Label 8034.2.cj
Level $8034$
Weight $2$
Character orbit 8034.cj
Rep. character $\chi_{8034}(209,\cdot)$
Character field $\Q(\zeta_{34})$
Dimension $6656$
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.cj (of order \(34\) and degree \(16\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 309 \)
Character field: \(\Q(\zeta_{34})\)
Sturm bound: \(2912\)

Dimensions

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

Total New Old
Modular forms 23424 6656 16768
Cusp forms 23168 6656 16512
Eisenstein series 256 0 256

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

\( S_{2}^{\mathrm{old}}(8034, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(309, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(618, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(4017, [\chi])\)\(^{\oplus 2}\)