Properties

Label 8003.2.bf
Level $8003$
Weight $2$
Character orbit 8003.bf
Rep. character $\chi_{8003}(603,\cdot)$
Character field $\Q(\zeta_{52})$
Dimension $16368$
Sturm bound $1368$

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Defining parameters

Level: \( N \) \(=\) \( 8003 = 53 \cdot 151 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 8003.bf (of order \(52\) and degree \(24\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 8003 \)
Character field: \(\Q(\zeta_{52})\)
Sturm bound: \(1368\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(8003, [\chi])\).

Total New Old
Modular forms 16464 16464 0
Cusp forms 16368 16368 0
Eisenstein series 96 96 0

Decomposition of \(S_{2}^{\mathrm{new}}(8003, [\chi])\) into newform subspaces

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