Properties

Label 5148.2.ib
Level $5148$
Weight $2$
Character orbit 5148.ib
Rep. character $\chi_{5148}(5,\cdot)$
Character field $\Q(\zeta_{60})$
Dimension $2688$
Sturm bound $2016$

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Defining parameters

Level: \( N \) \(=\) \( 5148 = 2^{2} \cdot 3^{2} \cdot 11 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 5148.ib (of order \(60\) and degree \(16\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1287 \)
Character field: \(\Q(\zeta_{60})\)
Sturm bound: \(2016\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(5148, [\chi])\).

Total New Old
Modular forms 16320 2688 13632
Cusp forms 15936 2688 13248
Eisenstein series 384 0 384

Decomposition of \(S_{2}^{\mathrm{new}}(5148, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(5148, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(5148, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(1287, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2574, [\chi])\)\(^{\oplus 2}\)