Properties

Label 8026.2.e
Level $8026$
Weight $2$
Character orbit 8026.e
Rep. character $\chi_{8026}(831,\cdot)$
Character field $\Q(\zeta_{34})$
Dimension $5344$
Sturm bound $2007$

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Defining parameters

Level: \( N \) \(=\) \( 8026 = 2 \cdot 4013 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 8026.e (of order \(34\) and degree \(16\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 4013 \)
Character field: \(\Q(\zeta_{34})\)
Sturm bound: \(2007\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(8026, [\chi])\).

Total New Old
Modular forms 16096 5344 10752
Cusp forms 16032 5344 10688
Eisenstein series 64 0 64

Decomposition of \(S_{2}^{\mathrm{new}}(8026, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(8026, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(8026, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(4013, [\chi])\)\(^{\oplus 2}\)