Properties

Label 4030.2.cd
Level 4030
Weight 2
Character orbit cd
Rep. character \(\chi_{4030}(2391,\cdot)\)
Character field \(\Q(\zeta_{10})\)
Dimension 576
Sturm bound 1344

Related objects

Downloads

Learn more about

Defining parameters

Level: \( N \) = \( 4030 = 2 \cdot 5 \cdot 13 \cdot 31 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 4030.cd (of order \(10\) and degree \(4\))
Character conductor: \(\operatorname{cond}(\chi)\) = \( 403 \)
Character field: \(\Q(\zeta_{10})\)
Sturm bound: \(1344\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(4030, [\chi])\).

Total New Old
Modular forms 2720 576 2144
Cusp forms 2656 576 2080
Eisenstein series 64 0 64

Decomposition of \(S_{2}^{\mathrm{new}}(4030, [\chi])\) into irreducible Hecke orbits

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

Decomposition of \(S_{2}^{\mathrm{old}}(4030, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(4030, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(403, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(806, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2015, [\chi])\)\(^{\oplus 2}\)