Properties

Label 5544.2.ln
Level $5544$
Weight $2$
Character orbit 5544.ln
Rep. character $\chi_{5544}(415,\cdot)$
Character field $\Q(\zeta_{30})$
Dimension $0$
Newform subspaces $0$
Sturm bound $2304$
Trace bound $0$

Related objects

Downloads

Learn more

Defining parameters

Level: \( N \) \(=\) \( 5544 = 2^{3} \cdot 3^{2} \cdot 7 \cdot 11 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 5544.ln (of order \(30\) and degree \(8\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 308 \)
Character field: \(\Q(\zeta_{30})\)
Newform subspaces: \( 0 \)
Sturm bound: \(2304\)
Trace bound: \(0\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(5544, [\chi])\).

Total New Old
Modular forms 9472 0 9472
Cusp forms 8960 0 8960
Eisenstein series 512 0 512

Decomposition of \(S_{2}^{\mathrm{old}}(5544, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(5544, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(308, [\chi])\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(924, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2772, [\chi])\)\(^{\oplus 2}\)