Cremona's table of elliptic curves

72471 = 3 · 7² · 17 · 29

Class	r	Atkin-Lehner	Eigenvalues
72471a (1 curve)	1	3+ 7+ 17+ 29+	0 3+  0 7+  0  1 17+  5
Curve Equation t Generators 72471a1 [0,-1,1,-15843,-764506] 1 [132876:1121950:729]
72471b (1 curve)	3	3+ 7+ 17+ 29+	-2 3+ -3 7+ -6 -5 17+ -6
Curve Equation t Generators 72471b1 [0,-1,1,-212,1070] 1 [19:59:1]&[-15:25:1]&[-86:353:8]
72471c (1 curve)	1	3+ 7+ 17- 29-	0 3+  1 7+  0  3 17-  0
Curve Equation t Generators 72471c1 [0,-1,1,-493005,-110280976] 1 [804:3523:1]
72471d (1 curve)	2	3+ 7- 17+ 29+	0 3+ -1 7- -1 -5 17+  5
Curve Equation t Generators 72471d1 [0,-1,1,-60041,-5643142] 1 [306:2131:1]&[364:4538:1]
72471e (1 curve)	0	3+ 7- 17+ 29+	0 3+  3 7- -5  7 17+  5
Curve Equation t 72471e1 [0,-1,1,18261,-186682462] 1
72471f (1 curve)	0	3+ 7- 17+ 29+	1 3+  2 7-  0  1 17+  1
Curve Equation t 72471f1 [1,1,0,416,673] 1
72471g (2 curves)	0	3+ 7- 17+ 29+	-2 3+ -1 7- -3  1 17+ -5
Curve Equation t 72471g1 [0,-1,1,-297446,-62970202] 1 72471g2 [0,-1,1,1926664,2186529638] 1
72471h (1 curve)	0	3+ 7- 17+ 29+	-2 3+  3 7-  5  1 17+  7
Curve Equation t 72471h1 [0,-1,1,-13344,2565632] 1
72471i (4 curves)	1	3+ 7- 17- 29+	1 3+ -2 7-  4  2 17- -8
Curve Equation t Generators 72471i1 [1,1,0,2474,-396521] 2 [510:1019:8] 72471i2 [1,1,0,-68331,-6613200] 4 [65246:5857079:8] 72471i3 [1,1,0,-189116,23027439] 2 [21441518022:1923426051403:2628072] 72471i4 [1,1,0,-1080426,-432705195] 2 [-27758789231628:15011125519489:46190993472]
72471j (2 curves)	1	3- 7- 17+ 29+	-1 3-  0 7-  0 -2 17+ -4
Curve Equation t Generators 72471j1 [1,0,0,31702,8124675] 2 [139:-3971:1] 72471j2 [1,0,0,-463933,112108898] 2 [887:-20410:1]
72471k (1 curve)	1	3- 7- 17+ 29+	-1 3-  0 7- -3  4 17+ -4
Curve Equation t Generators 72471k1 [1,0,0,-61398,5851173] 1 [3909:-754:27]
72471l (1 curve)	1	3- 7- 17+ 29+	2 3- -3 7-  3 -5 17+ -1
Curve Equation t Generators 72471l1 [0,1,1,-14422,-966983] 1 [159001839442:4415883146539:201230056]
72471m (1 curve)	2	3- 7- 17+ 29-	0 3- -1 7-  0 -3 17+  0
Curve Equation t Generators 72471m1 [0,1,1,-10061,318644] 1 [794:-4441:8]&[-74:814:1]
72471n (1 curve)	0	3- 7- 17+ 29-	0 3- -1 7-  1  1 17+ -5
Curve Equation t 72471n1 [0,1,1,-302591,-81599668] 1
72471o (1 curve)	0	3- 7- 17+ 29-	0 3-  3 7- -3 -7 17+  3
Curve Equation t 72471o1 [0,1,1,-849,-10405] 1
72471p (1 curve)	0	3- 7- 17+ 29-	1 3-  0 7-  5 -4 17+  0
Curve Equation t 72471p1 [1,0,1,-1571456,1120703987] 1
72471q (1 curve)	0	3- 7- 17- 29+	0 3-  0 7-  0 -1 17- -5
Curve Equation t 72471q1 [0,1,1,-776323,263778106] 1
72471r (1 curve)	2	3- 7- 17- 29+	-2 3- -1 7- -3 -3 17- -1
Curve Equation t Generators 72471r1 [0,1,1,964,28844] 1 [-11:-131:1]&[16:-221:1]
72471s (1 curve)	0	3- 7- 17- 29+	-2 3-  3 7- -3  5 17-  3
Curve Equation t 72471s1 [0,1,1,-74104,-11321810] 1
72471t (1 curve)	0	3- 7- 17- 29+	-2 3-  3 7- -6  5 17-  6
Curve Equation t 72471t1 [0,1,1,-10404,-346300] 1

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