Properties

Label 5577.2.bb
Level $5577$
Weight $2$
Character orbit 5577.bb
Rep. character $\chi_{5577}(1351,\cdot)$
Character field $\Q(\zeta_{10})$
Dimension $1232$
Sturm bound $1456$

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Defining parameters

Level: \( N \) \(=\) \( 5577 = 3 \cdot 11 \cdot 13^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 5577.bb (of order \(10\) and degree \(4\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 143 \)
Character field: \(\Q(\zeta_{10})\)
Sturm bound: \(1456\)

Dimensions

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

Total New Old
Modular forms 3024 1232 1792
Cusp forms 2800 1232 1568
Eisenstein series 224 0 224

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

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