Cremona's table of elliptic curves

80724 = 2² · 3 · 7 · 31²

Class	r	Atkin-Lehner	Eigenvalues
80724a (2 curves)	1	2- 3+ 7+ 31-	2- 3+  0 7+  0  0  2 -4
Curve Equation t Generators 80724a1 [0,-1,0,-32033,2183214] 2 [24170:222952:125] 80724a2 [0,-1,0,-65668,-3158024] 2 [-1221103:1037880:24389]
80724b (2 curves)	1	2- 3+ 7+ 31-	2- 3+  0 7+  4  4 -2  4
Curve Equation t Generators 80724b1 [0,-1,0,-21827513,39255277626] 2 [365945:2611037:125] 80724b2 [0,-1,0,-23475628,32985188920] 2 [1235946790:-37320556086:274625]
80724c (1 curve)	1	2- 3+ 7+ 31-	2- 3+  0 7+  6  3 -4 -1
Curve Equation t Generators 80724c1 [0,-1,0,-413,-18375] 1 [25200:62965:729]
80724d (1 curve)	1	2- 3+ 7+ 31-	2- 3+  2 7+  2  1  2 -3
Curve Equation t Generators 80724d1 [0,-1,0,83,-23] 1 [8:33:1]
80724e (1 curve)	1	2- 3+ 7+ 31-	2- 3+  3 7+  0  5  0  6
Curve Equation t Generators 80724e1 [0,-1,0,87131,-200484959] 1 [438795:26025802:125]
80724f (1 curve)	1	2- 3+ 7+ 31-	2- 3+ -3 7+ -3 -4 -3 -3
Curve Equation t Generators 80724f1 [0,-1,0,25550748,-54316956024] 1 [4709254:377319446:1331]
80724g (1 curve)	1	2- 3+ 7- 31+	2- 3+ -1 7-  3  0  1  7
Curve Equation t Generators 80724g1 [0,-1,0,-188676,38987592] 1 [641:13454:1]
80724h (2 curves)	2	2- 3+ 7- 31-	2- 3+  0 7-  0  1 -6 -7
Curve Equation t Generators 80724h1 [0,-1,0,-9093,339489] 1 [31:-294:1]&[-25:742:1] 80724h2 [0,-1,0,-738213,244375953] 1 [496:15:1]&[-7382:94325:8]
80724i (4 curves)	0	2- 3+ 7- 31-	2- 3+  0 7-  0  4  6 -4
Curve Equation t 80724i1 [0,-1,0,-377993,69149538] 2 80724i2 [0,-1,0,-2026108,-1050909416] 2 80724i3 [0,-1,0,-28631393,58976923470] 2 80724i4 [0,-1,0,-28665028,58831445368] 2
80724j (4 curves)	0	2- 3+ 7- 31-	2- 3+  0 7-  6 -2  0 -4
Curve Equation t 80724j1 [0,-1,0,6407,65170] 2 80724j2 [0,-1,0,-27228,562968] 2 80724j3 [0,-1,0,-108913,14284126] 2 80724j4 [0,-1,0,-1757028,897014520] 2
80724k (2 curves)	0	2- 3+ 7- 31-	2- 3+  4 7-  2 -2  8  4
Curve Equation t 80724k1 [0,-1,0,4150239,4321516878] 2 80724k2 [0,-1,0,-28172996,44079095928] 2
80724l (1 curve)	1	2- 3- 7+ 31+	2- 3-  0 7+ -6 -3  4 -1
Curve Equation t Generators 80724l1 [0,1,0,-397213,551380655] 1 [-718:21609:1]
80724m (1 curve)	1	2- 3- 7+ 31+	2- 3-  2 7+ -2 -1 -2 -3
Curve Equation t Generators 80724m1 [0,1,0,79443,-110337] 1 [175854:14206463:27]
80724n (1 curve)	1	2- 3- 7+ 31+	2- 3- -3 7+  3  4  3 -3
Curve Equation t Generators 80724n1 [0,1,0,26588,1831844] 1 [-52:558:1]
80724o (1 curve)	0	2- 3- 7+ 31-	2- 3- -1 7+  0 -1  4  2
Curve Equation t 80724o1 [0,1,0,-20501,2080743] 1
80724p (2 curves)	0	2- 3- 7+ 31-	2- 3-  4 7+ -2  6  4 -4
Curve Equation t 80724p1 [0,1,0,-1281,71292] 2 80724p2 [0,1,0,-34916,2493012] 2
80724q (2 curves)	0	2- 3- 7- 31+	2- 3-  0 7-  0 -1  6 -7
Curve Equation t 80724q1 [0,1,0,-8738693,-10026330969] 3 80724q2 [0,1,0,-709423013,-7273109786793] 1
80724r (1 curve)	1	2- 3- 7- 31-	2- 3- -1 7- -3  0 -1  7
Curve Equation t Generators 80724r1 [0,1,0,-196,-1372] 1 [28:126:1]

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