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Properties

Label 2646.2.cc
Level $2646$
Weight $2$
Character orbit 2646.cc
Rep. character $\chi_{2646}(43,\cdot)$
Character field $\Q(\zeta_{63})$
Dimension $6048$
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.cc (of order \(63\) and degree \(36\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1323 \)
Character field: \(\Q(\zeta_{63})\)
Sturm bound: \(1008\)

Dimensions

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

Total New Old
Modular forms 18288 6048 12240
Cusp forms 18000 6048 11952
Eisenstein series 288 0 288

Trace form

\( 6048 q - 30 q^{6} + O(q^{10}) \) \( 6048 q - 30 q^{6} + 6 q^{14} + 24 q^{17} - 24 q^{21} + 180 q^{23} - 72 q^{26} - 30 q^{29} - 72 q^{30} - 72 q^{33} - 18 q^{35} - 30 q^{36} + 60 q^{39} - 24 q^{41} - 144 q^{42} + 12 q^{45} + 180 q^{47} + 18 q^{49} + 48 q^{50} + 36 q^{51} - 300 q^{53} + 36 q^{54} + 6 q^{56} - 90 q^{57} + 60 q^{59} + 36 q^{60} + 36 q^{61} + 48 q^{62} + 6 q^{63} + 504 q^{64} + 84 q^{65} + 36 q^{68} - 24 q^{69} - 36 q^{70} + 36 q^{73} + 36 q^{74} - 30 q^{75} - 42 q^{77} + 144 q^{80} - 12 q^{84} - 132 q^{87} + 72 q^{89} + 18 q^{91} + 36 q^{92} - 180 q^{93} - 72 q^{94} - 72 q^{95} + 72 q^{98} - 648 q^{99} + O(q^{100}) \)

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

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