Properties

Label 8013.2.be
Level $8013$
Weight $2$
Character orbit 8013.be
Rep. character $\chi_{8013}(14,\cdot)$
Character field $\Q(\zeta_{2670})$
Dimension $625856$
Sturm bound $1781$

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Defining parameters

Level: \( N \) \(=\) \( 8013 = 3 \cdot 2671 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 8013.be (of order \(2670\) and degree \(704\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 8013 \)
Character field: \(\Q(\zeta_{2670})\)
Sturm bound: \(1781\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(8013, [\chi])\).

Total New Old
Modular forms 628672 628672 0
Cusp forms 625856 625856 0
Eisenstein series 2816 2816 0

Decomposition of \(S_{2}^{\mathrm{new}}(8013, [\chi])\) into newform subspaces

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