Properties

Label 7350.2.cz
Level $7350$
Weight $2$
Character orbit 7350.cz
Rep. character $\chi_{7350}(107,\cdot)$
Character field $\Q(\zeta_{84})$
Dimension $8064$
Sturm bound $3360$

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Defining parameters

Level: \( N \) \(=\) \( 7350 = 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 7350.cz (of order \(84\) and degree \(24\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 735 \)
Character field: \(\Q(\zeta_{84})\)
Sturm bound: \(3360\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(7350, [\chi])\).

Total New Old
Modular forms 40896 8064 32832
Cusp forms 39744 8064 31680
Eisenstein series 1152 0 1152

Decomposition of \(S_{2}^{\mathrm{new}}(7350, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(7350, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(7350, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(735, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1470, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(3675, [\chi])\)\(^{\oplus 2}\)