Properties

Label 8036.2.cm
Level $8036$
Weight $2$
Character orbit 8036.cm
Rep. character $\chi_{8036}(373,\cdot)$
Character field $\Q(\zeta_{30})$
Dimension $1120$
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.cm (of order \(30\) and degree \(8\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 287 \)
Character field: \(\Q(\zeta_{30})\)
Sturm bound: \(2352\)

Dimensions

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

Total New Old
Modular forms 9600 1120 8480
Cusp forms 9216 1120 8096
Eisenstein series 384 0 384

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

\( S_{2}^{\mathrm{old}}(8036, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(287, [\chi])\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(574, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1148, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2009, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(4018, [\chi])\)\(^{\oplus 2}\)