Properties

Label 4015.2.es
Level $4015$
Weight $2$
Character orbit 4015.es
Rep. character $\chi_{4015}(222,\cdot)$
Character field $\Q(\zeta_{60})$
Dimension $7040$
Sturm bound $888$

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Defining parameters

Level: \( N \) \(=\) \( 4015 = 5 \cdot 11 \cdot 73 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 4015.es (of order \(60\) and degree \(16\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 4015 \)
Character field: \(\Q(\zeta_{60})\)
Sturm bound: \(888\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(4015, [\chi])\).

Total New Old
Modular forms 7168 7168 0
Cusp forms 7040 7040 0
Eisenstein series 128 128 0

Decomposition of \(S_{2}^{\mathrm{new}}(4015, [\chi])\) into newform subspaces

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