Properties

Label 8027.2.q
Level 8027
Weight 2
Character orbit q
Rep. character \(\chi_{8027}(415,\cdot)\)
Character field \(\Q(\zeta_{29})\)
Dimension 18032
Sturm bound 1400

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Defining parameters

Level: \( N \) = \( 8027 = 23 \cdot 349 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 8027.q (of order \(29\) and degree \(28\))
Character conductor: \(\operatorname{cond}(\chi)\) = \( 349 \)
Character field: \(\Q(\zeta_{29})\)
Sturm bound: \(1400\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(8027, [\chi])\).

Total New Old
Modular forms 19656 18032 1624
Cusp forms 19544 18032 1512
Eisenstein series 112 0 112

Decomposition of \(S_{2}^{\mathrm{new}}(8027, [\chi])\) into irreducible Hecke orbits

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

Decomposition of \(S_{2}^{\mathrm{old}}(8027, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(8027, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(349, [\chi])\)\(^{\oplus 2}\)