Properties

Label 4030.2.fr
Level 4030
Weight 2
Character orbit fr
Rep. character \(\chi_{4030}(231,\cdot)\)
Character field \(\Q(\zeta_{30})\)
Dimension 1184
Sturm bound 1344

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Defining parameters

Level: \( N \) = \( 4030 = 2 \cdot 5 \cdot 13 \cdot 31 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 4030.fr (of order \(30\) and degree \(8\))
Character conductor: \(\operatorname{cond}(\chi)\) = \( 403 \)
Character field: \(\Q(\zeta_{30})\)
Sturm bound: \(1344\)

Dimensions

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

Total New Old
Modular forms 5440 1184 4256
Cusp forms 5312 1184 4128
Eisenstein series 128 0 128

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

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