Properties

Label 5054.2.bw
Level $5054$
Weight $2$
Character orbit 5054.bw
Rep. character $\chi_{5054}(75,\cdot)$
Character field $\Q(\zeta_{114})$
Dimension $9072$
Sturm bound $1520$

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Defining parameters

Level: \( N \) \(=\) \( 5054 = 2 \cdot 7 \cdot 19^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 5054.bw (of order \(114\) and degree \(36\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 2527 \)
Character field: \(\Q(\zeta_{114})\)
Sturm bound: \(1520\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(5054, [\chi])\).

Total New Old
Modular forms 27504 9072 18432
Cusp forms 27216 9072 18144
Eisenstein series 288 0 288

Decomposition of \(S_{2}^{\mathrm{new}}(5054, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(5054, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(5054, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(2527, [\chi])\)\(^{\oplus 2}\)