Properties

Label 9036.2.cb
Level $9036$
Weight $2$
Character orbit 9036.cb
Rep. character $\chi_{9036}(53,\cdot)$
Character field $\Q(\zeta_{250})$
Dimension $8400$
Sturm bound $3024$

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Defining parameters

Level: \( N \) \(=\) \( 9036 = 2^{2} \cdot 3^{2} \cdot 251 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 9036.cb (of order \(250\) and degree \(100\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 753 \)
Character field: \(\Q(\zeta_{250})\)
Sturm bound: \(3024\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(9036, [\chi])\).

Total New Old
Modular forms 152400 8400 144000
Cusp forms 150000 8400 141600
Eisenstein series 2400 0 2400

Decomposition of \(S_{2}^{\mathrm{new}}(9036, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(9036, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(9036, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(753, [\chi])\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1506, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2259, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(3012, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(4518, [\chi])\)\(^{\oplus 2}\)