Properties

Label 5610.2.ex
Level 5610
Weight 2
Character orbit ex
Rep. character \(\chi_{5610}(631,\cdot)\)
Character field \(\Q(\zeta_{40})\)
Dimension 2304
Sturm bound 2592

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Defining parameters

Level: \( N \) = \( 5610 = 2 \cdot 3 \cdot 5 \cdot 11 \cdot 17 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 5610.ex (of order \(40\) and degree \(16\))
Character conductor: \(\operatorname{cond}(\chi)\) = \( 187 \)
Character field: \(\Q(\zeta_{40})\)
Sturm bound: \(2592\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(5610, [\chi])\).

Total New Old
Modular forms 20992 2304 18688
Cusp forms 20480 2304 18176
Eisenstein series 512 0 512

Decomposition of \(S_{2}^{\mathrm{new}}(5610, [\chi])\) into irreducible Hecke orbits

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

Decomposition of \(S_{2}^{\mathrm{old}}(5610, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(5610, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(187, [\chi])\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(374, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(561, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(935, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1122, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1870, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2805, [\chi])\)\(^{\oplus 2}\)