Properties

Label 4024.2.o
Level 4024
Weight 2
Character orbit o
Rep. character \(\chi_{4024}(13,\cdot)\)
Character field \(\Q(\zeta_{502})\)
Dimension 125500
Sturm bound 1008

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Defining parameters

Level: \( N \) = \( 4024 = 2^{3} \cdot 503 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 4024.o (of order \(502\) and degree \(250\))
Character conductor: \(\operatorname{cond}(\chi)\) = \( 4024 \)
Character field: \(\Q(\zeta_{502})\)
Sturm bound: \(1008\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(4024, [\chi])\).

Total New Old
Modular forms 126500 126500 0
Cusp forms 125500 125500 0
Eisenstein series 1000 1000 0

Decomposition of \(S_{2}^{\mathrm{new}}(4024, [\chi])\) into irreducible Hecke orbits

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