Properties

Label 8036.2.f
Level $8036$
Weight $2$
Character orbit 8036.f
Rep. character $\chi_{8036}(3527,\cdot)$
Character field $\Q$
Dimension $800$
Sturm bound $2352$

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Defining parameters

Level: \( N \) \(=\) \( 8036 = 2^{2} \cdot 7^{2} \cdot 41 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 8036.f (of order \(2\) and degree \(1\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 28 \)
Character field: \(\Q\)
Sturm bound: \(2352\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(8036, [\chi])\).

Total New Old
Modular forms 1192 800 392
Cusp forms 1160 800 360
Eisenstein series 32 0 32

Decomposition of \(S_{2}^{\mathrm{new}}(8036, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(8036, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(8036, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(28, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(196, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1148, [\chi])\)\(^{\oplus 2}\)