Properties

Label 8036.2.co
Level $8036$
Weight $2$
Character orbit 8036.co
Rep. character $\chi_{8036}(99,\cdot)$
Character field $\Q(\zeta_{40})$
Dimension $13616$
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.co (of order \(40\) and degree \(16\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 164 \)
Character field: \(\Q(\zeta_{40})\)
Sturm bound: \(2352\)

Dimensions

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

Total New Old
Modular forms 19072 13936 5136
Cusp forms 18560 13616 4944
Eisenstein series 512 320 192

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

\( S_{2}^{\mathrm{old}}(8036, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(164, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1148, [\chi])\)\(^{\oplus 2}\)