Properties

Label 6018.2.u
Level 6018
Weight 2
Character orbit u
Rep. character \(\chi_{6018}(205,\cdot)\)
Character field \(\Q(\zeta_{29})\)
Dimension 4480
Sturm bound 2160

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Defining parameters

Level: \( N \) = \( 6018 = 2 \cdot 3 \cdot 17 \cdot 59 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 6018.u (of order \(29\) and degree \(28\))
Character conductor: \(\operatorname{cond}(\chi)\) = \( 59 \)
Character field: \(\Q(\zeta_{29})\)
Sturm bound: \(2160\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(6018, [\chi])\).

Total New Old
Modular forms 30464 4480 25984
Cusp forms 30016 4480 25536
Eisenstein series 448 0 448

Decomposition of \(S_{2}^{\mathrm{new}}(6018, [\chi])\) into irreducible Hecke orbits

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

Decomposition of \(S_{2}^{\mathrm{old}}(6018, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(6018, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(59, [\chi])\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(118, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(177, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(354, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1003, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2006, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(3009, [\chi])\)\(^{\oplus 2}\)