Cremona's table of elliptic curves

128865 = 3 · 5 · 11² · 71

Class	r	Atkin-Lehner	Eigenvalues
128865a (2 curves)	0	3+ 5+ 11- 71+	1 3+ 5+  0 11-  2 -4  4
Curve Equation t 128865a1 [1,1,0,-66673,-6653192] 2 128865a2 [1,1,0,-60018,-8025453] 2
128865b (2 curves)	0	3+ 5+ 11- 71+	1 3+ 5+  0 11-  4  6  0
Curve Equation t 128865b1 [1,1,0,16212,-97533] 2 128865b2 [1,1,0,-65463,-865278] 2
128865c (1 curve)	1	3+ 5+ 11- 71-	0 3+ 5+  1 11-  2  0 -1
Curve Equation t Generators 128865c1 [0,-1,1,-381,-3169] 1 [651:874:27]
128865d (1 curve)	1	3+ 5+ 11- 71-	0 3+ 5+ -1 11- -2  0  1
Curve Equation t Generators 128865d1 [0,-1,1,-46141,4402122] 1 [-64:2662:1]
128865e (2 curves)	1	3+ 5+ 11- 71-	-1 3+ 5+  2 11-  0 -4 -4
Curve Equation t Generators 128865e1 [1,1,1,-1636,34508] 2 [-4:204:1] 128865e2 [1,1,1,-28861,1874918] 2 [94:13:1]
128865f (2 curves)	1	3+ 5+ 11- 71-	-1 3+ 5+  4 11- -2  0  0
Curve Equation t Generators 128865f1 [1,1,1,-2241,32814] 2 [42:101:1] 128865f2 [1,1,1,4414,197858] 2 [18:523:1]
128865g (1 curve)	1	3+ 5- 11- 71+	0 3+ 5- -2 11-  2 -7  2
Curve Equation t Generators 128865g1 [0,-1,1,6615,-656404] 1 [7104:118385:27]
128865h (1 curve)	1	3+ 5- 11- 71+	1 3+ 5- -3 11-  2 -7  4
Curve Equation t Generators 128865h1 [1,1,0,-112,-689] 1 [22:79:1]
128865i (4 curves)	1	3+ 5- 11- 71+	1 3+ 5- -4 11- -2  2  4
Curve Equation t Generators 128865i1 [1,1,0,603,-39816] 2 [108:1086:1] 128865i2 [1,1,0,-14522,-647841] 4 [9332:33809:64] 128865i3 [1,1,0,-41747,2450364] 2 [-60:2208:1] 128865i4 [1,1,0,-229297,-42357146] 2 [45152420:-3402483379:8000]
128865j (1 curve)	1	3+ 5- 11- 71+	-1 3+ 5-  3 11- -2  7 -4
Curve Equation t Generators 128865j1 [1,1,1,-13615,849080] 1 [50:-570:1]
128865k (1 curve)	0	3+ 5- 11- 71-	0 3+ 5- -1 11-  1  2  1
Curve Equation t 128865k1 [0,-1,1,-3065,-71974] 1
128865l (4 curves)	2	3+ 5- 11- 71-	-1 3+ 5-  0 11- -2  2  0
Curve Equation t Generators 128865l1 [1,1,1,-172125,45150810] 4 [-486:4025:1]&[-227:8633:1] 128865l2 [1,1,1,-3221930,2223931502] 4 [-1974:30934:1]&[347:33706:1] 128865l3 [1,1,1,-3694435,1528215140] 2 [2453:83823:1]&[-902:64698:1] 128865l4 [1,1,1,-51546305,142422608252] 2 [4142:-2374:1]&[34726:158893:8]
128865m (1 curve)	1	3- 5+ 11- 71+	0 3- 5+  2 11-  2 -7  6
Curve Equation t Generators 128865m1 [0,1,1,-8631,916856] 1 [40350:1557559:27]
128865n (2 curves)	0	3- 5+ 11- 71-	1 3- 5+  4 11-  4  2  8
Curve Equation t 128865n1 [1,0,1,-27349,-7421053] 2 128865n2 [1,0,1,-762424,-255582373] 2
128865o (1 curve)	0	3- 5- 11- 71+	0 3- 5-  0 11-  3  3 -5
Curve Equation t 128865o1 [0,1,1,1775,28111] 1
128865p (1 curve)	0	3- 5- 11- 71+	0 3- 5-  0 11- -3 -3  5
Curve Equation t 128865p1 [0,1,1,15,-16] 1
128865q (1 curve)	0	3- 5- 11- 71+	-2 3- 5-  2 11-  4 -1 -4
Curve Equation t 128865q1 [0,1,1,134270,42105256] 1
128865r (2 curves)	1	3- 5- 11- 71-	2 3- 5-  2 11- -4 -3  0
Curve Equation t Generators 128865r1 [0,1,1,890520,-197160991] 1 [15258:735071:8] 128865r2 [0,1,1,-78660930,268799386169] 1 [42714:258815:8]

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

Part of Computational Number Theory
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