Properties

Label 8015.2.t
Level $8015$
Weight $2$
Character orbit 8015.t
Rep. character $\chi_{8015}(1602,\cdot)$
Character field $\Q(\zeta_{4})$
Dimension $1832$
Sturm bound $1840$

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Defining parameters

Level: \( N \) \(=\) \( 8015 = 5 \cdot 7 \cdot 229 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 8015.t (of order \(4\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 8015 \)
Character field: \(\Q(i)\)
Sturm bound: \(1840\)

Dimensions

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

Total New Old
Modular forms 1848 1848 0
Cusp forms 1832 1832 0
Eisenstein series 16 16 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.