Properties

Label 2736.2.gc
Level $2736$
Weight $2$
Character orbit 2736.gc
Rep. character $\chi_{2736}(47,\cdot)$
Character field $\Q(\zeta_{18})$
Dimension $720$
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.gc (of order \(18\) and degree \(6\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 684 \)
Character field: \(\Q(\zeta_{18})\)
Sturm bound: \(960\)

Dimensions

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

Total New Old
Modular forms 2952 720 2232
Cusp forms 2808 720 2088
Eisenstein series 144 0 144

Trace form

\( 720q - 36q^{9} + O(q^{10}) \) \( 720q - 36q^{9} + 36q^{33} + 360q^{49} - 108q^{73} + 36q^{81} + 108q^{97} + O(q^{100}) \)

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

\( S_{2}^{\mathrm{old}}(2736, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(684, [\chi])\)\(^{\oplus 3}\)