Properties

Label 5400.2.br
Level $5400$
Weight $2$
Character orbit 5400.br
Rep. character $\chi_{5400}(431,\cdot)$
Character field $\Q(\zeta_{10})$
Dimension $0$
Newform subspaces $0$
Sturm bound $2160$
Trace bound $0$

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Defining parameters

Level: \( N \) \(=\) \( 5400 = 2^{3} \cdot 3^{3} \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 5400.br (of order \(10\) and degree \(4\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 300 \)
Character field: \(\Q(\zeta_{10})\)
Newform subspaces: \( 0 \)
Sturm bound: \(2160\)
Trace bound: \(0\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(5400, [\chi])\).

Total New Old
Modular forms 4416 0 4416
Cusp forms 4224 0 4224
Eisenstein series 192 0 192

Decomposition of \(S_{2}^{\mathrm{old}}(5400, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(5400, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(300, [\chi])\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(900, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2700, [\chi])\)\(^{\oplus 2}\)