Properties

Label 2736.2.gv
Level $2736$
Weight $2$
Character orbit 2736.gv
Rep. character $\chi_{2736}(35,\cdot)$
Character field $\Q(\zeta_{36})$
Dimension $1920$
Sturm bound $960$

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Defining parameters

Level: \( N \) \(=\) \( 2736 = 2^{4} \cdot 3^{2} \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2736.gv (of order \(36\) and degree \(12\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 912 \)
Character field: \(\Q(\zeta_{36})\)
Sturm bound: \(960\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2736, [\chi])\).

Total New Old
Modular forms 5856 1920 3936
Cusp forms 5664 1920 3744
Eisenstein series 192 0 192

Trace form

\( 1920q + O(q^{10}) \) \( 1920q + 24q^{10} + 24q^{16} - 960q^{49} - 96q^{52} + 144q^{70} - 96q^{76} - 192q^{85} + O(q^{100}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(2736, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(2736, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(2736, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(912, [\chi])\)\(^{\oplus 2}\)