Properties

Label 8026.2.k
Level $8026$
Weight $2$
Character orbit 8026.k
Rep. character $\chi_{8026}(9,\cdot)$
Character field $\Q(\zeta_{2006})$
Dimension $309952$
Sturm bound $2007$

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Defining parameters

Level: \( N \) \(=\) \( 8026 = 2 \cdot 4013 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 8026.k (of order \(2006\) and degree \(928\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 4013 \)
Character field: \(\Q(\zeta_{2006})\)
Sturm bound: \(2007\)

Dimensions

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

Total New Old
Modular forms 933568 309952 623616
Cusp forms 929856 309952 619904
Eisenstein series 3712 0 3712

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

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