Properties

Label 8015.2.em
Level $8015$
Weight $2$
Character orbit 8015.em
Rep. character $\chi_{8015}(202,\cdot)$
Character field $\Q(\zeta_{76})$
Dimension $32976$
Sturm bound $1840$

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Defining parameters

Level: \( N \) \(=\) \( 8015 = 5 \cdot 7 \cdot 229 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 8015.em (of order \(76\) and degree \(36\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 8015 \)
Character field: \(\Q(\zeta_{76})\)
Sturm bound: \(1840\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(8015, [\chi])\).

Total New Old
Modular forms 33264 33264 0
Cusp forms 32976 32976 0
Eisenstein series 288 288 0

Decomposition of \(S_{2}^{\mathrm{new}}(8015, [\chi])\) into newform subspaces

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