Properties

Label 4719.2.bk
Level $4719$
Weight $2$
Character orbit 4719.bk
Rep. character $\chi_{4719}(112,\cdot)$
Character field $\Q(\zeta_{20})$
Dimension $2016$
Sturm bound $1232$

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Defining parameters

Level: \( N \) \(=\) \( 4719 = 3 \cdot 11^{2} \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 4719.bk (of order \(20\) and degree \(8\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 143 \)
Character field: \(\Q(\zeta_{20})\)
Sturm bound: \(1232\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(4719, [\chi])\).

Total New Old
Modular forms 5120 2016 3104
Cusp forms 4736 2016 2720
Eisenstein series 384 0 384

Decomposition of \(S_{2}^{\mathrm{new}}(4719, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(4719, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(4719, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(143, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(429, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1573, [\chi])\)\(^{\oplus 2}\)