Cremona's table of elliptic curves

16665 = 3 · 5 · 11 · 101

Class	r	Atkin-Lehner	Eigenvalues
16665a (2 curves)	0	3+ 5+ 11+ 101-	-1 3+ 5+  4 11+  6  6 -2
Curve Equation t 16665a1 [1,1,1,-121,-346] 2 16665a2 [1,1,1,384,-1962] 2
16665b (8 curves)	1	3+ 5- 11+ 101-	-1 3+ 5-  0 11+ -2  2  4
Curve Equation t Generators 16665b1 [1,1,1,-130000,18084560] 4 [188:483:1] 16665b2 [1,1,1,-2083125,1156365810] 8 [14556:365251:27] 16665b3 [1,1,1,-2086250,1152718310] 8 [151540092:4648093997:85184] 16665b4 [1,1,1,-33330000,74049075810] 4 [78855756:537410441:21952] 16665b5 [1,1,1,-3361375,-424866340] 4 [35919571442230828:640650387567280113:17406197775296] 16665b6 [1,1,1,-861125,2496925460] 4 [180864:76826875:1] 16665b7 [1,1,1,-40329900,-98435819820] 2 [2741684533503138384392315088235660:-579509839874573811339753639704658631:60388250701589530137599896000] 16665b8 [1,1,1,13205150,-3353827960] 2 [2881230299823732361703348172:332965275011977051132916817065:5228111131839363722153408]
16665c (2 curves)	0	3- 5+ 11+ 101+	-1 3- 5+  0 11+ -2  2  6
Curve Equation t 16665c1 [1,0,0,-396,-2985] 2 16665c2 [1,0,0,109,-9954] 2
16665d (1 curve)	1	3- 5+ 11+ 101-	0 3- 5+  3 11+ -2 -5  4
Curve Equation t Generators 16665d1 [0,1,1,-41921,3258161] 1 [97:337:1]
16665e (1 curve)	1	3- 5- 11+ 101+	0 3- 5-  1 11+ -4  5 -2
Curve Equation t Generators 16665e1 [0,1,1,-55,-116] 1 [-4:7:1]
16665f (4 curves)	1	3- 5- 11+ 101+	1 3- 5- -4 11+  6 -2 -4
Curve Equation t Generators 16665f1 [1,0,1,117,-119] 2 [4375:17921:343] 16665f2 [1,0,1,-488,-1087] 4 [59:390:1] 16665f3 [1,0,1,-6043,-181069] 2 [-45:37:1] 16665f4 [1,0,1,-4613,119363] 2 [4436:21165:64]

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

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