Cremona's table of elliptic curves

82160 = 2⁴ · 5 · 13 · 79

Class	r	Atkin-Lehner	Eigenvalues
82160a (1 curve)	1	2+ 5+ 13- 79-	2+  0 5+ -1  0 13- -6  8
Curve Equation t Generators 82160a1 [0,0,0,-1628,-107252] 1 [642:4225:8]
82160b (2 curves)	1	2+ 5+ 13- 79-	2+ -2 5+  4  0 13-  0  0
Curve Equation t Generators 82160b1 [0,1,0,-436,2364] 2 [31:140:1] 82160b2 [0,1,0,1144,16900] 2 [0:130:1]
82160c (2 curves)	2	2+ 5- 13+ 79+	2+ -2 5-  0 -4 13+  0 -4
Curve Equation t Generators 82160c1 [0,1,0,-2140,38988] 2 [11:-130:1]&[-2:208:1] 82160c2 [0,1,0,-34640,2469988] 2 [-209:790:1]&[106:20:1]
82160d (2 curves)	0	2+ 5- 13+ 79+	2+ -2 5-  2 -4 13+ -4 -4
Curve Equation t 82160d1 [0,1,0,-255,-1592] 2 82160d2 [0,1,0,140,-5700] 2
82160e (1 curve)	0	2+ 5- 13+ 79+	2+ -2 5-  2  5 13+ -1 -1
Curve Equation t 82160e1 [0,1,0,-874160,1948424308] 1
82160f (2 curves)	2	2+ 5- 13+ 79+	2+ -2 5- -4  0 13+ -4  0
Curve Equation t Generators 82160f1 [0,1,0,-60,-500] 2 [14:40:1]&[23:104:1] 82160f2 [0,1,0,-1360,-19740] 2 [-22:4:1]&[43:56:1]
82160g (2 curves)	1	2+ 5- 13+ 79-	2+  0 5-  2  4 13+ -2 -4
Curve Equation t Generators 82160g1 [0,0,0,-82,-81] 2 [612:195:64] 82160g2 [0,0,0,313,-634] 2 [22:130:1]
82160h (4 curves)	0	2+ 5- 13- 79-	2+  0 5- -4  4 13-  2  4
Curve Equation t 82160h1 [0,0,0,433,-4626] 2 82160h2 [0,0,0,-2947,-47214] 4 82160h3 [0,0,0,-15947,735386] 4 82160h4 [0,0,0,-44027,-3555446] 2
82160i (1 curve)	2	2- 5+ 13+ 79+	2- -1 5+  1 -1 13+ -2 -4
Curve Equation t Generators 82160i1 [0,-1,0,-1901,32545] 1 [21:38:1]&[24:13:1]
82160j (2 curves)	2	2- 5+ 13+ 79+	2-  2 5+ -2 -4 13+ -2 -4
Curve Equation t Generators 82160j1 [0,-1,0,7584,-1112320] 2 [98:750:1]&[2186:102258:1] 82160j2 [0,-1,0,-125536,-15915264] 2 [-240:576:1]&[35760:1248832:27]
82160k (1 curve)	1	2- 5+ 13- 79+	2-  2 5+ -2 -1 13- -3 -3
Curve Equation t Generators 82160k1 [0,-1,0,-416,-8320] 1 [184:2472:1]
82160l (1 curve)	0	2- 5+ 13- 79-	2- -1 5+ -3  1 13- -6 -4
Curve Equation t 82160l1 [0,-1,0,19259,2256941] 1
82160m (2 curves)	1	2- 5- 13+ 79+	2-  0 5-  0  2 13+  0 -6
Curve Equation t Generators 82160m1 [0,0,0,-93227,10944346] 2 [102:1580:1] 82160m2 [0,0,0,-118507,4538394] 2 [38:300:1]
82160n (2 curves)	0	2- 5- 13+ 79-	2-  0 5- -2  0 13+  0  4
Curve Equation t 82160n1 [0,0,0,-576827,-168648854] 2 82160n2 [0,0,0,-9229627,-10792556694] 2
82160o (2 curves)	0	2- 5- 13+ 79-	2- -2 5-  0  0 13+  4  0
Curve Equation t 82160o1 [0,1,0,-3240,-67340] 2 82160o2 [0,1,0,3080,-292332] 2
82160p (2 curves)	0	2- 5- 13- 79+	2-  2 5- -2 -4 13-  6 -4
Curve Equation t 82160p1 [0,-1,0,-1560,62192] 2 82160p2 [0,-1,0,-34840,2511600] 2
82160q (1 curve)	0	2- 5- 13- 79+	2- -2 5- -2 -3 13- -1 -1
Curve Equation t 82160q1 [0,1,0,-53240,-4813100] 1
82160r (1 curve)	1	2- 5- 13- 79-	2-  0 5- -3  0 13-  2 -4
Curve Equation t Generators 82160r1 [0,0,0,1408,-44276] 1 [30:158:1]

Data from Elliptic Curve Data by J. E. Cremona.
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