Properties

Label 8026.2.b
Level $8026$
Weight $2$
Character orbit 8026.b
Rep. character $\chi_{8026}(8025,\cdot)$
Character field $\Q$
Dimension $334$
Sturm bound $2007$

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Defining parameters

Level: \( N \) \(=\) \( 8026 = 2 \cdot 4013 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 8026.b (of order \(2\) and degree \(1\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 4013 \)
Character field: \(\Q\)
Sturm bound: \(2007\)

Dimensions

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

Total New Old
Modular forms 1006 334 672
Cusp forms 1002 334 668
Eisenstein series 4 0 4

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

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