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Properties

Label 2645.2.g
Level $2645$
Weight $2$
Character orbit 2645.g
Rep. character $\chi_{2645}(266,\cdot)$
Character field $\Q(\zeta_{11})$
Dimension $1680$
Sturm bound $552$

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Defining parameters

Level: \( N \) \(=\) \( 2645 = 5 \cdot 23^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2645.g (of order \(11\) and degree \(10\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 23 \)
Character field: \(\Q(\zeta_{11})\)
Sturm bound: \(552\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2645, [\chi])\).

Total New Old
Modular forms 3000 1680 1320
Cusp forms 2520 1680 840
Eisenstein series 480 0 480

Trace form

\( 1680 q + 4 q^{2} - 160 q^{4} + 2 q^{5} + 20 q^{6} + 4 q^{7} + 24 q^{8} - 164 q^{9} + O(q^{10}) \) \( 1680 q + 4 q^{2} - 160 q^{4} + 2 q^{5} + 20 q^{6} + 4 q^{7} + 24 q^{8} - 164 q^{9} + 6 q^{10} + 16 q^{11} + 12 q^{12} + 4 q^{13} + 12 q^{14} + 4 q^{15} - 172 q^{16} - 6 q^{17} + 48 q^{18} - 6 q^{19} + 6 q^{20} - 22 q^{21} - 16 q^{22} - 216 q^{24} - 168 q^{25} + 16 q^{26} - 18 q^{27} + 48 q^{28} + 26 q^{29} + 8 q^{30} + 10 q^{31} + 28 q^{32} + 48 q^{33} + 22 q^{34} - 14 q^{35} - 178 q^{36} + 40 q^{37} - 22 q^{38} + 32 q^{39} - 58 q^{40} + 8 q^{41} + 104 q^{42} - 56 q^{43} + 30 q^{44} - 40 q^{45} + 64 q^{47} - 68 q^{48} - 182 q^{49} - 18 q^{50} - 20 q^{51} + 84 q^{52} + 28 q^{53} + 6 q^{54} - 28 q^{55} - 80 q^{56} + 14 q^{57} - 50 q^{58} + 18 q^{59} - 10 q^{60} + 12 q^{61} - 64 q^{62} - 18 q^{63} - 96 q^{64} + 24 q^{65} + 92 q^{66} + 32 q^{67} - 112 q^{68} + 12 q^{70} + 68 q^{71} + 12 q^{72} + 4 q^{73} + 38 q^{74} + 24 q^{76} - 90 q^{77} - 152 q^{78} - 40 q^{79} + 30 q^{80} - 116 q^{81} - 60 q^{82} - 86 q^{83} - 134 q^{84} + 20 q^{85} + 102 q^{86} - 140 q^{87} + 16 q^{88} - 28 q^{89} + 42 q^{90} + 68 q^{91} - 388 q^{93} - 14 q^{94} + 16 q^{95} + 192 q^{96} - 56 q^{97} + 12 q^{98} - 104 q^{99} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{2}^{\mathrm{new}}(2645, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(2645, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(2645, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(23, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(115, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(529, [\chi])\)\(^{\oplus 2}\)