Properties

Label 4003.2.o
Level $4003$
Weight $2$
Character orbit 4003.o
Rep. character $\chi_{4003}(4,\cdot)$
Character field $\Q(\zeta_{2001})$
Dimension $410256$
Sturm bound $667$

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Defining parameters

Level: \( N \) \(=\) \( 4003 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 4003.o (of order \(2001\) and degree \(1232\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 4003 \)
Character field: \(\Q(\zeta_{2001})\)
Sturm bound: \(667\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(4003, [\chi])\).

Total New Old
Modular forms 412720 412720 0
Cusp forms 410256 410256 0
Eisenstein series 2464 2464 0

Decomposition of \(S_{2}^{\mathrm{new}}(4003, [\chi])\) into newform subspaces

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