Cremona's table of elliptic curves

59640 = 2³ · 3 · 5 · 7 · 71

Class	r	Atkin-Lehner	Eigenvalues
59640a (4 curves)	1	2+ 3+ 5+ 7+ 71+	2+ 3+ 5+ 7+ -4 -2 -2  4
Curve Equation t Generators 59640a1 [0,-1,0,-40591,-3134204] 2 [101476:-4005045:64] 59640a2 [0,-1,0,-40636,-3126860] 4 [253:1650:1] 59640a3 [0,-1,0,-20056,-6312644] 2 [6320610:-502330609:1000] 59640a4 [0,-1,0,-61936,528220] 2 [33045:200002:125]
59640b (2 curves)	0	2+ 3+ 5+ 7- 71+	2+ 3+ 5+ 7-  0  4 -6  4
Curve Equation t 59640b1 [0,-1,0,42244,940500] 2 59640b2 [0,-1,0,-176456,7851420] 2
59640c (1 curve)	0	2+ 3+ 5+ 7- 71+	2+ 3+ 5+ 7-  3  7  0  1
Curve Equation t 59640c1 [0,-1,0,-2136,37836] 1
59640d (2 curves)	0	2+ 3+ 5+ 7- 71+	2+ 3+ 5+ 7-  4 -2 -4 -4
Curve Equation t 59640d1 [0,-1,0,-336,2460] 2 59640d2 [0,-1,0,-56,6156] 2
59640e (1 curve)	0	2+ 3+ 5- 7+ 71+	2+ 3+ 5- 7+  0  4  0  7
Curve Equation t 59640e1 [0,-1,0,840,55692] 1
59640f (1 curve)	0	2+ 3+ 5- 7+ 71+	2+ 3+ 5- 7+ -3 -1 -4  3
Curve Equation t 59640f1 [0,-1,0,-10651240,-9197378900] 1
59640g (2 curves)	0	2+ 3+ 5- 7+ 71+	2+ 3+ 5- 7+  6 -2  6  4
Curve Equation t 59640g1 [0,-1,0,800,-8900] 2 59640g2 [0,-1,0,-4600,-80180] 2
59640h (1 curve)	1	2+ 3+ 5- 7+ 71-	2+ 3+ 5- 7+  3  2  2  3
Curve Equation t Generators 59640h1 [0,-1,0,-3725400,2768875452] 1 [-366:63900:1]
59640i (1 curve)	1	2+ 3- 5- 7+ 71+	2+ 3- 5- 7+  3 -5 -6  1
Curve Equation t Generators 59640i1 [0,1,0,-14040,-644112] 1 [-69:30:1]
59640j (4 curves)	0	2+ 3- 5- 7- 71+	2+ 3- 5- 7-  4 -2 -6  8
Curve Equation t 59640j1 [0,1,0,-855,-9882] 2 59640j2 [0,1,0,-1260,0] 4 59640j3 [0,1,0,5040,5040] 2 59640j4 [0,1,0,-14040,633888] 4
59640k (2 curves)	1	2+ 3- 5- 7- 71-	2+ 3- 5- 7- -2 -4 -2  4
Curve Equation t Generators 59640k1 [0,1,0,560,-19600] 2 [35:210:1] 59640k2 [0,1,0,-8440,-278800] 2 [155:1470:1]
59640l (2 curves)	0	2- 3+ 5+ 7+ 71+	2- 3+ 5+ 7+  0 -2  0 -4
Curve Equation t 59640l1 [0,-1,0,-258776,50754396] 2 59640l2 [0,-1,0,-258496,50869420] 2
59640m (4 curves)	0	2- 3+ 5- 7+ 71-	2- 3+ 5- 7+  4  2 -2 -4
Curve Equation t 59640m1 [0,-1,0,-420,-2940] 2 59640m2 [0,-1,0,-1400,17052] 4 59640m3 [0,-1,0,2800,96012] 2 59640m4 [0,-1,0,-21280,1201900] 2
59640n (1 curve)	1	2- 3- 5+ 7+ 71+	2- 3- 5+ 7+  1  2 -6 -5
Curve Equation t Generators 59640n1 [0,1,0,-214256,-78523056] 1 [616:4860:1]
59640o (4 curves)	0	2- 3- 5+ 7+ 71-	2- 3- 5+ 7+  4  6  6  0
Curve Equation t 59640o1 [0,1,0,-4711,-171790] 2 59640o2 [0,1,0,-82836,-9203040] 4 59640o3 [0,1,0,-90336,-7445040] 2 59640o4 [0,1,0,-1325336,-587711040] 2
59640p (4 curves)	0	2- 3- 5+ 7+ 71-	2- 3- 5+ 7+ -4  6  6 -4
Curve Equation t 59640p1 [0,1,0,19004,387680] 4 59640p2 [0,1,0,-81816,3129984] 4 59640p3 [0,1,0,-720816,-233555616] 2 59640p4 [0,1,0,-1055936,416936160] 2
59640q (1 curve)	1	2- 3- 5- 7+ 71-	2- 3- 5- 7+ -5 -6 -6 -3
Curve Equation t Generators 59640q1 [0,1,0,160,-3312] 1 [16:60:1]
59640r (4 curves)	1	2- 3- 5- 7- 71+	2- 3- 5- 7-  0  6 -6 -4
Curve Equation t Generators 59640r1 [0,1,0,860,3488] 4 [-2:42:1] 59640r2 [0,1,0,-3640,25088] 4 [71:360:1] 59640r3 [0,1,0,-33040,-2303392] 2 [463:9048:1] 59640r4 [0,1,0,-46240,3807968] 2 [3621:5176:27]
59640s (6 curves)	1	2- 3- 5- 7- 71+	2- 3- 5- 7-  4 -2  2 -4
Curve Equation t Generators 59640s1 [0,1,0,235025,2821694498] 4 [-574:49980:1] 59640s2 [0,1,0,-28588980,57598833600] 8 [-3360:340200:1] 59640s3 [0,1,0,-63595560,-111216897792] 4 [-4389:288750:1] 59640s4 [0,1,0,-454766480,3732612651600] 4 [12355:8190:1] 59640s5 [0,1,0,203174160,-801190101600] 2 [22105545:3560156250:1331] 59640s6 [0,1,0,-890470560,-10224890397792] 2 [-16989:11550:1]

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