Properties

Label 6036.2.p
Level $6036$
Weight $2$
Character orbit 6036.p
Rep. character $\chi_{6036}(19,\cdot)$
Character field $\Q(\zeta_{502})$
Dimension $126000$
Sturm bound $2016$

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Defining parameters

Level: \( N \) \(=\) \( 6036 = 2^{2} \cdot 3 \cdot 503 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 6036.p (of order \(502\) and degree \(250\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 2012 \)
Character field: \(\Q(\zeta_{502})\)
Sturm bound: \(2016\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(6036, [\chi])\).

Total New Old
Modular forms 253000 126000 127000
Cusp forms 251000 126000 125000
Eisenstein series 2000 0 2000

Decomposition of \(S_{2}^{\mathrm{new}}(6036, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(6036, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(6036, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(2012, [\chi])\)\(^{\oplus 2}\)