Cremona's table of elliptic curves

89661 = 3 · 11² · 13 · 19

Class	r	Atkin-Lehner	Eigenvalues
89661a (1 curve)	2	3+ 11+ 13+ 19-	0 3+ -2  1 11+ 13+  4 19-
Curve Equation t Generators 89661a1 [0,-1,1,-8609,307394] 1 [-64:769:1]&[4:522:1]
89661b (1 curve)	0	3+ 11+ 13- 19+	0 3+ -2 -1 11+ 13- -4 19+
Curve Equation t 89661b1 [0,-1,1,-1041729,-404974879] 1
89661c (1 curve)	1	3+ 11- 13+ 19-	-1 3+ -3 -1 11- 13+ -2 19-
Curve Equation t Generators 89661c1 [1,1,1,674028,58785090] 1 [468:-22075:1]
89661d (1 curve)	1	3+ 11- 13- 19+	-1 3+  1 -3 11- 13- -6 19+
Curve Equation t Generators 89661d1 [1,1,1,-305,2564] 1 [-16:68:1]
89661e (4 curves)	1	3+ 11- 13- 19+	-1 3+ -2  0 11- 13-  6 19+
Curve Equation t Generators 89661e1 [1,1,1,-5170514,4523132846] 4 [-1233:95620:1] 89661e2 [1,1,1,-5272759,4334797556] 4 [12354951385:237450225051:6331625] 89661e3 [1,1,1,5195556,19425920460] 2 [-5537388943310:-2311161655986259:17373979000] 89661e4 [1,1,1,-17376994,-22807739008] 2 [87582524245803460:7077854136409134219:9883008136000]
89661f (1 curve)	1	3+ 11- 13- 19+	2 3+ -2  3 11- 13-  0 19+
Curve Equation t Generators 89661f1 [0,-1,1,-48924,-4135759] 1 [38052:850477:64]
89661g (1 curve)	1	3+ 11- 13- 19+	2 3+  4  1 11- 13-  0 19+
Curve Equation t Generators 89661g1 [0,-1,1,-58360276,-171580975611] 1 [-69814255358279562727415270527512774131436076147999030:22228151962216574829927759115935055762227776824278509:15847168557791699540922480090111881315817326333000]
89661h (1 curve)	1	3- 11+ 13+ 19-	0 3-  2 -3 11+ 13+  4 19-
Curve Equation t Generators 89661h1 [0,1,1,-187227,-30946921] 1 [-31905:65822:125]
89661i (1 curve)	1	3- 11+ 13- 19+	0 3-  2  3 11+ 13- -4 19+
Curve Equation t Generators 89661i1 [0,1,1,-1547,22688] 1 [-26:214:1]
89661j (1 curve)	1	3- 11- 13+ 19+	-2 3-  4 -3 11- 13+  0 19+
Curve Equation t Generators 89661j1 [0,1,1,-11656,441568] 1 [-37:907:1]
89661k (1 curve)	0	3- 11- 13+ 19-	0 3-  1  3 11- 13+  3 19-
Curve Equation t 89661k1 [0,1,1,-645,-33478] 1
89661l (2 curves)	0	3- 11- 13- 19+	1 3-  4 -4 11- 13-  0 19+
Curve Equation t 89661l1 [1,0,1,-21547804,-109189859011] 2 89661l2 [1,0,1,-499199539,-4286731933321] 2
89661m (1 curve)	0	3- 11- 13- 19+	2 3-  0  5 11- 13-  0 19+
Curve Equation t 89661m1 [0,1,1,-23998,1170835] 1
89661n (2 curves)	1	3- 11- 13- 19-	1 3-  0 -4 11- 13- -4 19-
Curve Equation t Generators 89661n1 [1,0,1,-43321,-3571801] 2 [40369:8090687:1] 89661n2 [1,0,1,-698536,-224772385] 2 [20670600:-4162764067:512]
89661o (1 curve)	1	3- 11- 13- 19-	1 3- -3 -1 11- 13-  2 19-
Curve Equation t Generators 89661o1 [1,0,1,-18395,2125847] 1 [87:-1133:1]
89661p (1 curve)	1	3- 11- 13- 19-	-1 3-  3 -5 11- 13-  6 19-
Curve Equation t Generators 89661p1 [1,0,0,-632409,206333766] 1 [615:6771:1]
89661q (1 curve)	1	3- 11- 13- 19-	-2 3-  0 -1 11- 13-  8 19-
Curve Equation t Generators 89661q1 [0,1,1,-158308,10132942] 1 [29:2359:1]
89661r (1 curve)	1	3- 11- 13- 19-	-2 3-  1  1 11- 13- -7 19-
Curve Equation t Generators 89661r1 [0,1,1,12277830,-76858567252] 1 [3396:63355:1]

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

Part of Computational Number Theory
Back to Tables and computations