Properties

Label 4410.2.cy
Level 4410
Weight 2
Character orbit cy
Rep. character \(\chi_{4410}(319,\cdot)\)
Character field \(\Q(\zeta_{42})\)
Dimension 4032
Sturm bound 2016

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Defining parameters

Level: \( N \) \(=\) \( 4410 = 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 4410.cy (of order \(42\) and degree \(12\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 2205 \)
Character field: \(\Q(\zeta_{42})\)
Sturm bound: \(2016\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(4410, [\chi])\).

Total New Old
Modular forms 12192 4032 8160
Cusp forms 12000 4032 7968
Eisenstein series 192 0 192

Decomposition of \(S_{2}^{\mathrm{new}}(4410, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(4410, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(4410, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(2205, [\chi])\)\(^{\oplus 2}\)

Hecke characteristic polynomials

There are no characteristic polynomials of Hecke operators in the database