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Properties

Label 2646.2.bj
Level $2646$
Weight $2$
Character orbit 2646.bj
Rep. character $\chi_{2646}(227,\cdot)$
Character field $\Q(\zeta_{18})$
Dimension $720$
Sturm bound $1008$

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Defining parameters

Level: \( N \) \(=\) \( 2646 = 2 \cdot 3^{3} \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2646.bj (of order \(18\) and degree \(6\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 189 \)
Character field: \(\Q(\zeta_{18})\)
Sturm bound: \(1008\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2646, [\chi])\).

Total New Old
Modular forms 3120 720 2400
Cusp forms 2928 720 2208
Eisenstein series 192 0 192

Trace form

\( 720 q - 18 q^{6} + 24 q^{9} + O(q^{10}) \) \( 720 q - 18 q^{6} + 24 q^{9} - 24 q^{11} - 24 q^{15} - 6 q^{23} + 6 q^{29} + 18 q^{30} - 6 q^{36} - 18 q^{39} + 54 q^{47} - 18 q^{51} - 90 q^{53} + 54 q^{54} + 30 q^{57} + 90 q^{59} + 36 q^{60} + 360 q^{64} + 84 q^{65} + 36 q^{69} + 144 q^{71} - 24 q^{72} - 18 q^{74} + 90 q^{75} + 120 q^{78} - 72 q^{79} + 144 q^{85} - 48 q^{86} - 90 q^{87} + 66 q^{92} - 12 q^{93} - 174 q^{95} + 132 q^{99} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{2}^{\mathrm{new}}(2646, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(2646, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(2646, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(189, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(378, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1323, [\chi])\)\(^{\oplus 2}\)