Properties

Label 5577.2.m
Level $5577$
Weight $2$
Character orbit 5577.m
Rep. character $\chi_{5577}(3112,\cdot)$
Character field $\Q(\zeta_{4})$
Dimension $616$
Sturm bound $1456$

Related objects

Downloads

Learn more

Defining parameters

Level: \( N \) \(=\) \( 5577 = 3 \cdot 11 \cdot 13^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 5577.m (of order \(4\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 143 \)
Character field: \(\Q(i)\)
Sturm bound: \(1456\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(5577, [\chi])\).

Total New Old
Modular forms 1512 616 896
Cusp forms 1400 616 784
Eisenstein series 112 0 112

Decomposition of \(S_{2}^{\mathrm{new}}(5577, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(5577, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(5577, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(143, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(429, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1859, [\chi])\)\(^{\oplus 2}\)