Cremona's table of elliptic curves

48050 = 2 · 5² · 31²

Class	r	Atkin-Lehner	Eigenvalues
48050a (2 curves)	1	2+ 5+ 31+	2+ -3 5+  3 -3 -5 -3  7
Curve Equation t Generators 48050a1 [1,-1,0,-1722292,501873616] 1 [21128:3054588:1] 48050a2 [1,-1,0,-1833868792,-30226921380884] 1 [113274257292904712743092082067602:-13933750090962765398005584032132608:1996768772961548567585112809]
48050b (4 curves)	0	2+ 5+ 31-	2+  0 5+  0  0  2 -6  4
Curve Equation t 48050b1 [1,-1,0,-16517,-4068859] 2 48050b2 [1,-1,0,-497017,-134284359] 4 48050b3 [1,-1,0,-737267,9144891] 2 48050b4 [1,-1,0,-7944767,-8617271609] 2
48050c (1 curve)	0	2+ 5+ 31-	2+ -1 5+  0  1  0 -1 -7
Curve Equation t 48050c1 [1,1,0,-29330,-5398220] 1
48050d (2 curves)	0	2+ 5+ 31-	2+  2 5+  0 -2  0  2 -4
Curve Equation t 48050d1 [1,1,0,-1586150,793692500] 2 48050d2 [1,1,0,-25611150,49876767500] 2
48050e (4 curves)	0	2+ 5+ 31-	2+ -2 5+  4  0 -4  0 -4
Curve Equation t 48050e1 [1,0,1,-2547151,-1597138302] 2 48050e2 [1,0,1,-40987151,-101002978302] 2 48050e3 [1,0,1,10906849,-6844198302] 2 48050e4 [1,0,1,-49155651,-57897323302] 2
48050f (2 curves)	0	2+ 5+ 31-	2+  3 5+  3  3  5  3  7
Curve Equation t 48050f1 [1,-1,0,-1792,-16384] 1 48050f2 [1,-1,0,-1908292,1015125116] 1
48050g (1 curve)	0	2+ 5- 31+	2+  0 5-  1 -4  2 -6 -6
Curve Equation t 48050g1 [1,-1,0,-232742,-17979334] 1
48050h (1 curve)	0	2+ 5- 31+	2+  2 5-  3  2  0  2  2
Curve Equation t 48050h1 [1,1,0,-500,2600] 1
48050i (2 curves)	0	2+ 5- 31+	2+ -2 5- -1  6 -4 -6  2
Curve Equation t 48050i1 [1,0,1,-10163076,12465751298] 3 48050i2 [1,0,1,-28782451,-43764761202] 1
48050j (1 curve)	1	2+ 5- 31-	2+  0 5-  1  4 -2  6 -6
Curve Equation t Generators 48050j1 [1,-1,0,-242,666] 1 [-7:48:1]
48050k (1 curve)	1	2+ 5- 31-	2+  0 5- -5 -5  7 -6 -6
Curve Equation t Generators 48050k1 [1,-1,0,-136642,21469716] 1 [225:1329:1]
48050l (4 curves)	1	2+ 5- 31-	2+ -1 5-  2  3  4  3  5
Curve Equation t Generators 48050l1 [1,1,0,-500,50650] 1 [59:451:1] 48050l2 [1,1,0,-120625,16075325] 1 [13076:189:64] 48050l3 [1,1,0,-72575,-9102875] 1 [5019:352580:1] 48050l4 [1,1,0,528050,67176500] 1 [22031128436:1562987531895:4410944]
48050m (2 curves)	1	2+ 5- 31-	2+  2 5- -1 -6  4  6  2
Curve Equation t Generators 48050m1 [1,1,0,-10575,-422875] 1 [-482:319:8] 48050m2 [1,1,0,-29950,1456500] 1 [-5662038:104922021:54872]
48050n (1 curve)	1	2+ 5- 31-	2+ -2 5-  3 -2  0 -2  2
Curve Equation t Generators 48050n1 [1,0,1,-481001,-83707452] 1 [-318:6251:1]
48050o (1 curve)	0	2- 5+ 31+	2-  0 5+ -1 -4 -2  6 -6
Curve Equation t 48050o1 [1,-1,1,-9310,-141973] 1
48050p (2 curves)	0	2- 5+ 31+	2- -1 5+  1  3 -5 -3 -7
Curve Equation t 48050p1 [1,1,1,-108613,8105031] 1 48050p2 [1,1,1,-3832488,-2889069719] 1
48050q (2 curves)	0	2- 5+ 31+	2-  2 5+  1  6  4  6  2
Curve Equation t 48050q1 [1,1,1,-406523,99563401] 1 48050q2 [1,1,1,-1151298,-350578609] 1
48050r (1 curve)	0	2- 5+ 31+	2- -2 5+ -3  2  0 -2  2
Curve Equation t 48050r1 [1,0,0,-12513,350017] 1
48050s (1 curve)	1	2- 5+ 31-	2-  0 5+ -1  4  2 -6 -6
Curve Equation t Generators 48050s1 [1,-1,1,-10,7] 1 [-10:33:8]
48050t (1 curve)	1	2- 5+ 31-	2-  0 5+  5 -5 -7  6 -6
Curve Equation t Generators 48050t1 [1,-1,1,-3416055,2680298447] 1 [163:46046:1]
48050u (2 curves)	1	2- 5+ 31-	2-  1 5+  1 -3  5  3 -7
Curve Equation t Generators 48050u1 [1,0,0,-113,-283] 1 [-26:71:8] 48050u2 [1,0,0,-3988,96592] 1 [36:-16:1]
48050v (4 curves)	1	2- 5+ 31-	2-  1 5+ -2  3 -4 -3  5
Curve Equation t Generators 48050v1 [1,0,0,-2903,-72823] 1 [1196:40725:1] 48050v2 [1,0,0,21122,537412] 1 [18:952:1] 48050v3 [1,0,0,-12513,6356267] 1 [65679910220:-2299699443857:54872000] 48050v4 [1,0,0,-3015638,2015446892] 1 [113230:595904:125]
48050w (1 curve)	1	2- 5+ 31-	2-  2 5+ -3 -2  0  2  2
Curve Equation t Generators 48050w1 [1,1,1,-12025013,-10463431469] 1 [-45806240842876043233805325707:85922493905889248615618667606:48779453245556079958292837]
48050x (2 curves)	1	2- 5+ 31-	2- -2 5+  1 -6 -4 -6  2
Curve Equation t Generators 48050x1 [1,0,0,-423,-3383] 1 [-12:7:1] 48050x2 [1,0,0,-1198,11652] 1 [-4:-126:1]
48050y (1 curve)	0	2- 5- 31-	2-  1 5-  0  1  0  1 -7
Curve Equation t 48050y1 [1,0,0,-733263,-673310983] 1

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