Cremona's table of elliptic curves

52185 = 3 · 5 · 7² · 71

Class	r	Atkin-Lehner	Eigenvalues
52185a (1 curve)	0	3+ 5+ 7+ 71-	-2 3+ 5+ 7+  4  6  7  5
Curve Equation t 52185a1 [0,-1,1,67114,4238492] 1
52185b (1 curve)	0	3+ 5+ 7- 71+	1 3+ 5+ 7-  0  0 -5  2
Curve Equation t 52185b1 [1,1,0,-6318,-196587] 1
52185c (2 curves)	0	3+ 5+ 7- 71+	1 3+ 5+ 7- -4 -4  2  0
Curve Equation t 52185c1 [1,1,0,-1603893,787006872] 2 52185c2 [1,1,0,-25715568,50182184277] 2
52185d (1 curve)	0	3+ 5+ 7- 71+	1 3+ 5+ 7-  5 -4  8  3
Curve Equation t 52185d1 [1,1,0,-1428718,-667370507] 1
52185e (6 curves)	0	3+ 5+ 7- 71+	-1 3+ 5+ 7- -4  2 -2  4
Curve Equation t 52185e1 [1,1,1,-18376,31938248] 2 52185e2 [1,1,1,-1625821,788723354] 4 52185e3 [1,1,1,-3034816,-784842262] 2 52185e4 [1,1,1,-25935946,50828684654] 4 52185e5 [1,1,1,-25858771,51146306084] 2 52185e6 [1,1,1,-414975121,3253554788924] 2
52185f (4 curves)	0	3+ 5- 7- 71-	1 3+ 5- 7-  4 -6 -6 -4
Curve Equation t 52185f1 [1,1,0,-88862,10156119] 2 52185f2 [1,1,0,-100867,7219696] 4 52185f3 [1,1,0,315878,51978109] 4 52185f4 [1,1,0,-709692,-225229689] 2
52185g (1 curve)	0	3+ 5- 7- 71-	-2 3+ 5- 7- -2  6 -3 -1
Curve Equation t 52185g1 [0,-1,1,-800,-46264] 1
52185h (1 curve)	1	3- 5+ 7+ 71-	-2 3- 5+ 7+ -2 -6  3  1
Curve Equation t Generators 52185h1 [0,1,1,-16,130] 1 [2:-11:1]
52185i (4 curves)	1	3- 5+ 7- 71+	-1 3- 5+ 7-  4 -2  2  4
Curve Equation t Generators 52185i1 [1,0,0,244,-10305] 2 [643:15991:1] 52185i2 [1,0,0,-5881,-165880] 4 [-37:56:1] 52185i3 [1,0,0,-16906,634535] 2 [110:275:1] 52185i4 [1,0,0,-92856,-10898595] 2 [2580:128805:1]
52185j (1 curve)	0	3- 5+ 7- 71-	0 3- 5+ 7- -2  1  2  1
Curve Equation t 52185j1 [0,1,1,-1241,-19225] 1
52185k (2 curves)	0	3- 5+ 7- 71-	1 3- 5+ 7-  4  0  2 -8
Curve Equation t 52185k1 [1,0,1,-51574,5573747] 2 52185k2 [1,0,1,-878449,316809497] 2
52185l (1 curve)	1	3- 5- 7+ 71+	1 3- 5- 7+  0  0  5 -2
Curve Equation t Generators 52185l1 [1,0,1,-309608,66500543] 1 [249:2080:1]
52185m (2 curves)	1	3- 5- 7- 71-	1 3- 5- 7-  0  0 -4 -4
Curve Equation t Generators 52185m1 [1,0,1,-663,9013] 2 [46:561:8] 52185m2 [1,0,1,-11688,485293] 2 [526:105:8]
52185n (1 curve)	1	3- 5- 7- 71-	1 3- 5- 7- -5  0 -4  1
Curve Equation t Generators 52185n1 [1,0,1,-38383098,-91532077619] 1 [7165:32432:1]
52185o (1 curve)	1	3- 5- 7- 71-	-1 3- 5- 7- -5 -4  0 -1
Curve Equation t Generators 52185o1 [1,0,0,-295,-17410] 1 [67:481:1]
52185p (1 curve)	1	3- 5- 7- 71-	-2 3- 5- 7-  4 -6 -7 -5
Curve Equation t Generators 52185p1 [0,1,1,1370,-11966] 1 [11:67:1]

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