Cremona's table of elliptic curves

47712 = 2⁵ · 3 · 7 · 71

Class	r	Atkin-Lehner	Eigenvalues
47712a (1 curve)	1	2+ 3+ 7+ 71+	2+ 3+  3 7+  5 -5  0  4
Curve Equation t Generators 47712a1 [0,-1,0,6,12] 1 [-1:2:1]
47712b (1 curve)	0	2+ 3+ 7- 71+	2+ 3+  2 7-  4  4  0  3
Curve Equation t 47712b1 [0,-1,0,-232,1492] 1
47712c (1 curve)	0	2+ 3+ 7- 71+	2+ 3+  4 7-  2  0 -2  5
Curve Equation t 47712c1 [0,-1,0,5544,-52812] 1
47712d (1 curve)	1	2+ 3+ 7- 71-	2+ 3+ -1 7-  3 -3 -4 -8
Curve Equation t Generators 47712d1 [0,-1,0,-716546,404858412] 1 [1159:-33614:1]
47712e (1 curve)	1	2+ 3+ 7- 71-	2+ 3+  3 7- -5  5  4  0
Curve Equation t Generators 47712e1 [0,-1,0,-1834,91276] 1 [-45:284:1]
47712f (1 curve)	0	2+ 3- 7+ 71+	2+ 3- -1 7+ -3 -3 -4  8
Curve Equation t 47712f1 [0,1,0,-716546,-404858412] 1
47712g (1 curve)	0	2+ 3- 7+ 71+	2+ 3-  3 7+  5  5  4  0
Curve Equation t 47712g1 [0,1,0,-1834,-91276] 1
47712h (2 curves)	1	2+ 3- 7+ 71-	2+ 3-  0 7+  0  2  0  0
Curve Equation t Generators 47712h1 [0,1,0,142,0] 2 [1:12:1] 47712h2 [0,1,0,-568,-568] 2 [-22:42:1]
47712i (1 curve)	1	2+ 3- 7+ 71-	2+ 3-  2 7+ -4  4  0 -3
Curve Equation t Generators 47712i1 [0,1,0,-232,-1492] 1 [47:306:1]
47712j (1 curve)	1	2+ 3- 7+ 71-	2+ 3-  4 7+ -2  0 -2 -5
Curve Equation t Generators 47712j1 [0,1,0,5544,52812] 1 [63:810:1]
47712k (4 curves)	0	2+ 3- 7- 71-	2+ 3-  2 7-  0 -6  6  4
Curve Equation t 47712k1 [0,1,0,-2562,-35280] 4 47712k2 [0,1,0,7023,-228897] 2 47712k3 [0,1,0,-15792,732060] 2 47712k4 [0,1,0,-37352,-2790648] 2
47712l (1 curve)	0	2+ 3- 7- 71-	2+ 3-  3 7- -5 -5  0 -4
Curve Equation t 47712l1 [0,1,0,6,-12] 1
47712m (4 curves)	0	2- 3+ 7+ 71+	2- 3+  2 7+  0 -6  6 -4
Curve Equation t 47712m1 [0,-1,0,-2562,35280] 4 47712m2 [0,-1,0,7023,228897] 2 47712m3 [0,-1,0,-15792,-732060] 2 47712m4 [0,-1,0,-37352,2790648] 2
47712n (1 curve)	1	2- 3+ 7+ 71-	2- 3+ -3 7+  3  1 -8  0
Curve Equation t Generators 47712n1 [0,-1,0,-1002,-11916] 1 [40:102:1]
47712o (2 curves)	1	2- 3+ 7- 71+	2- 3+  0 7-  0  2  0  0
Curve Equation t Generators 47712o1 [0,-1,0,142,0] 2 [50:360:1] 47712o2 [0,-1,0,-568,568] 2 [-636:4585:64]
47712p (1 curve)	2	2- 3- 7- 71+	2- 3- -3 7- -3  1 -8  0
Curve Equation t Generators 47712p1 [0,1,0,-1002,11916] 1 [-30:126:1]&[-4:126:1]

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