Properties

Label 4024.2.p
Level 4024
Weight 2
Character orbit p
Rep. character \(\chi_{4024}(15,\cdot)\)
Character field \(\Q(\zeta_{502})\)
Dimension 0
Newforms 0
Sturm bound 1008
Trace bound 0

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Defining parameters

Level: \( N \) = \( 4024 = 2^{3} \cdot 503 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 4024.p (of order \(502\) and degree \(250\))
Character conductor: \(\operatorname{cond}(\chi)\) = \( 2012 \)
Character field: \(\Q(\zeta_{502})\)
Newforms: \( 0 \)
Sturm bound: \(1008\)
Trace bound: \(0\)

Dimensions

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

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

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

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