Properties

Label 7220.2.cn
Level $7220$
Weight $2$
Character orbit 7220.cn
Rep. character $\chi_{7220}(59,\cdot)$
Character field $\Q(\zeta_{342})$
Dimension $122688$
Sturm bound $2280$

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Defining parameters

Level: \( N \) \(=\) \( 7220 = 2^{2} \cdot 5 \cdot 19^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 7220.cn (of order \(342\) and degree \(108\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 7220 \)
Character field: \(\Q(\zeta_{342})\)
Sturm bound: \(2280\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(7220, [\chi])\).

Total New Old
Modular forms 123552 123552 0
Cusp forms 122688 122688 0
Eisenstein series 864 864 0

Decomposition of \(S_{2}^{\mathrm{new}}(7220, [\chi])\) into newform subspaces

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