Properties

Label 5577.2.di
Level $5577$
Weight $2$
Character orbit 5577.di
Rep. character $\chi_{5577}(29,\cdot)$
Character field $\Q(\zeta_{390})$
Dimension $69504$
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.di (of order \(390\) and degree \(96\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 5577 \)
Character field: \(\Q(\zeta_{390})\)
Sturm bound: \(1456\)

Dimensions

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

Total New Old
Modular forms 70272 70272 0
Cusp forms 69504 69504 0
Eisenstein series 768 768 0

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

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