Properties

Label 7220.2.bn
Level $7220$
Weight $2$
Character orbit 7220.bn
Rep. character $\chi_{7220}(151,\cdot)$
Character field $\Q(\zeta_{38})$
Dimension $13680$
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.bn (of order \(38\) and degree \(18\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1444 \)
Character field: \(\Q(\zeta_{38})\)
Sturm bound: \(2280\)

Dimensions

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

Total New Old
Modular forms 20592 13680 6912
Cusp forms 20448 13680 6768
Eisenstein series 144 0 144

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

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

Decomposition of \(S_{2}^{\mathrm{old}}(7220, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(7220, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(1444, [\chi])\)\(^{\oplus 2}\)