Cremona's table of elliptic curves

6486 = 2 · 3 · 23 · 47

Class	r	Atkin-Lehner	Eigenvalues
6486a (2 curves)	1	2+ 3+ 23+ 47+	2+ 3+  2  0  0 -4  2  0
Curve Equation t Generators 6486a1 [1,1,0,-13449,-582075] 2 [-1959:4637:27] 6486a2 [1,1,0,-36489,1910853] 2 [49:469:1]
6486b (2 curves)	1	2+ 3+ 23+ 47+	2+ 3+  2  2 -2  2  4 -4
Curve Equation t Generators 6486b1 [1,1,0,771,4797] 2 [21:165:1] 6486b2 [1,1,0,-3549,36765] 2 [53:6:1]
6486c (2 curves)	1	2+ 3+ 23+ 47+	2+ 3+ -2  2  4  2  4 -8
Curve Equation t Generators 6486c1 [1,1,0,-26,-60] 2 [-3:3:1] 6486c2 [1,1,0,-86,216] 2 [-5:26:1]
6486d (2 curves)	1	2+ 3+ 23+ 47+	2+ 3+ -2 -2 -2 -2  6  6
Curve Equation t Generators 6486d1 [1,1,0,-1966,34996] 2 [-5:214:1] 6486d2 [1,1,0,-32046,2194740] 2 [97:55:1]
6486e (2 curves)	1	2+ 3+ 23+ 47+	2+ 3+ -2 -2  4 -2  0  0
Curve Equation t Generators 6486e1 [1,1,0,-110839266,-449084047500] 2 [-383128851438322664244296131:516456421598717647228602059:63737018628717460686353] 6486e2 [1,1,0,-125011026,-326960322876] 2 [-3115224358567:-257399748151608:620650477]
6486f (2 curves)	2	2+ 3+ 23- 47+	2+ 3+  0 -4  2 -6 -4 -8
Curve Equation t Generators 6486f1 [1,1,0,-845,9129] 2 [-7:125:1]&[-2:105:1] 6486f2 [1,1,0,-13535,600483] 2 [-77:1131:1]&[61:50:1]
6486g (2 curves)	0	2+ 3+ 23- 47+	2+ 3+ -2  0  0 -4 -2  8
Curve Equation t 6486g1 [1,1,0,-4396,-112100] 2 6486g2 [1,1,0,-70006,-7158614] 2
6486h (2 curves)	2	2+ 3+ 23- 47+	2+ 3+ -4  0 -6  2 -4  0
Curve Equation t Generators 6486h1 [1,1,0,-122,-6060] 2 [28:102:1]&[44:254:1] 6486h2 [1,1,0,-5762,-169620] 2 [-47:35:1]&[169:1844:1]
6486i (2 curves)	1	2+ 3+ 23- 47-	2+ 3+ -2  2  6  2 -2 -2
Curve Equation t Generators 6486i1 [1,1,0,-86,-876] 2 [44:266:1] 6486i2 [1,1,0,-1966,-34340] 2 [446:1235:8]
6486j (2 curves)	2	2+ 3- 23+ 47+	2+ 3- -2 -4 -4 -4 -2 -4
Curve Equation t Generators 6486j1 [1,0,1,-77,20] 2 [-6:19:1]&[-3:16:1] 6486j2 [1,0,1,-887,10064] 2 [-34:51:1]&[6:67:1]
6486k (2 curves)	0	2+ 3- 23+ 47+	2+ 3-  4  2 -4  2  4  2
Curve Equation t 6486k1 [1,0,1,-35344,-2560546] 2 6486k2 [1,0,1,-565504,-163729186] 2
6486l (2 curves)	1	2+ 3- 23+ 47-	2+ 3-  2 -2  4 -4  8 -4
Curve Equation t Generators 6486l1 [1,0,1,-55,26] 2 [10:17:1] 6486l2 [1,0,1,-535,-4774] 2 [42:196:1]
6486m (2 curves)	1	2+ 3- 23+ 47-	2+ 3- -4 -2 -4  2 -4  6
Curve Equation t Generators 6486m1 [1,0,1,-238,-42208] 2 [46:188:1] 6486m2 [1,0,1,-19678,-1053088] 2 [-86:113:1]
6486n (2 curves)	1	2- 3+ 23+ 47-	2- 3+ -2  4  2 -4 -2  0
Curve Equation t Generators 6486n1 [1,1,1,356,2777] 2 [1:55:1] 6486n2 [1,1,1,-2074,24161] 2 [494:2703:8]
6486o (2 curves)	2	2- 3+ 23- 47-	2- 3+ -2 -4 -6 -4 -2 -8
Curve Equation t Generators 6486o1 [1,1,1,6,11655] 2 [-21:63:1]&[-15:99:1] 6486o2 [1,1,1,-7674,251271] 2 [-99:279:1]&[-7:555:1]
6486p (6 curves)	0	2- 3- 23- 47+	2- 3- -2  0  4  6  2  4
Curve Equation t 6486p1 [1,0,0,86,-9820] 4 6486p2 [1,0,0,-6394,-192556] 8 6486p3 [1,0,0,-101614,-12475936] 4 6486p4 [1,0,0,-14854,421640] 4 6486p5 [1,0,0,-1625824,-798053770] 2 6486p6 [1,0,0,-100924,-12653542] 2

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

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