Properties

Label 4024.2.i
Level 4024
Weight 2
Character orbit i
Rep. character \(\chi_{4024}(9,\cdot)\)
Character field \(\Q(\zeta_{251})\)
Dimension 31500
Sturm bound 1008

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Defining parameters

Level: \( N \) = \( 4024 = 2^{3} \cdot 503 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 4024.i (of order \(251\) and degree \(250\))
Character conductor: \(\operatorname{cond}(\chi)\) = \( 503 \)
Character field: \(\Q(\zeta_{251})\)
Sturm bound: \(1008\)

Dimensions

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

Total New Old
Modular forms 127000 31500 95500
Cusp forms 125000 31500 93500
Eisenstein series 2000 0 2000

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.

Decomposition of \(S_{2}^{\mathrm{old}}(4024, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(4024, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(503, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1006, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2012, [\chi])\)\(^{\oplus 2}\)