Properties

Label 8034.2.l
Level $8034$
Weight $2$
Character orbit 8034.l
Rep. character $\chi_{8034}(1855,\cdot)$
Character field $\Q(\zeta_{3})$
Dimension $480$
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.l (of order \(3\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 13 \)
Character field: \(\Q(\zeta_{3})\)
Sturm bound: \(2912\)

Dimensions

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

Total New Old
Modular forms 2928 480 2448
Cusp forms 2896 480 2416
Eisenstein series 32 0 32

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

\( S_{2}^{\mathrm{old}}(8034, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(26, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(39, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(78, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1339, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2678, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(4017, [\chi])\)\(^{\oplus 2}\)