Cremona's table of elliptic curves

7686 = 2 · 3² · 7 · 61

Class	r	Atkin-Lehner	Eigenvalues
7686a (2 curves)	1	2+ 3+ 7+ 61+	2+ 3+ -2 7+  0  6  0  0
Curve Equation t Generators 7686a1 [1,-1,0,-11733,-486235] 2 [614:14643:1] 7686a2 [1,-1,0,-11193,-533431] 2 [140:723:1]
7686b (1 curve)	0	2+ 3+ 7- 61+	2+ 3+  1 7- -2  2  5 -2
Curve Equation t 7686b1 [1,-1,0,-19104,-1013248] 1
7686c (1 curve)	0	2+ 3+ 7- 61+	2+ 3+  2 7-  5 -1 -2  4
Curve Equation t 7686c1 [1,-1,0,-21,-35] 1
7686d (1 curve)	0	2+ 3- 7+ 61+	2+ 3-  3 7+ -2 -4  4 -3
Curve Equation t 7686d1 [1,-1,0,-2178,-39852] 1
7686e (1 curve)	0	2+ 3- 7+ 61+	2+ 3- -4 7+  3 -1 -6 -6
Curve Equation t 7686e1 [1,-1,0,-355734,-81576356] 1
7686f (1 curve)	1	2+ 3- 7+ 61-	2+ 3-  0 7+  5  0  3 -1
Curve Equation t Generators 7686f1 [1,-1,0,-117,-203] 1 [-6:19:1]
7686g (1 curve)	1	2+ 3- 7+ 61-	2+ 3-  3 7+ -4  0  3  2
Curve Equation t Generators 7686g1 [1,-1,0,-50373,6650293] 1 [1364:150581:64]
7686h (1 curve)	1	2+ 3- 7- 61+	2+ 3-  1 7-  4 -2 -4  1
Curve Equation t Generators 7686h1 [1,-1,0,-99,1381] 1 [26:-139:1]
7686i (1 curve)	1	2+ 3- 7- 61+	2+ 3- -1 7-  2 -4  4 -5
Curve Equation t Generators 7686i1 [1,-1,0,1395,-68891] 1 [362:6731:1]
7686j (1 curve)	1	2+ 3- 7- 61+	2+ 3-  2 7- -1 -4  1 -5
Curve Equation t Generators 7686j1 [1,-1,0,-3591,-36995] 1 [-42:217:1]
7686k (1 curve)	0	2+ 3- 7- 61-	2+ 3-  3 7- -4  0  7  2
Curve Equation t 7686k1 [1,-1,0,2277,-6773] 1
7686l (2 curves)	0	2- 3+ 7+ 61+	2- 3+  2 7+  0  6  0  0
Curve Equation t 7686l1 [1,-1,1,-1304,18443] 2 7686l2 [1,-1,1,-1244,20171] 2
7686m (1 curve)	1	2- 3+ 7- 61+	2- 3+ -1 7-  2  2 -5 -2
Curve Equation t Generators 7686m1 [1,-1,1,-2123,38235] 1 [29:6:1]
7686n (1 curve)	1	2- 3+ 7- 61+	2- 3+ -2 7- -5 -1  2  4
Curve Equation t Generators 7686n1 [1,-1,1,-191,1135] 1 [13:20:1]
7686o (1 curve)	1	2- 3- 7+ 61+	2- 3-  0 7+  1 -1 -2  6
Curve Equation t Generators 7686o1 [1,-1,1,220,-8377] 1 [21:61:1]
7686p (1 curve)	1	2- 3- 7+ 61+	2- 3- -1 7+  0 -4 -3  6
Curve Equation t Generators 7686p1 [1,-1,1,-23,-345] 1 [17:54:1]
7686q (1 curve)	1	2- 3- 7+ 61+	2- 3-  2 7+ -3  0 -3 -3
Curve Equation t Generators 7686q1 [1,-1,1,-6494,-199699] 1 [-47:27:1]
7686r (1 curve)	0	2- 3- 7+ 61-	2- 3- -1 7+ -2  4  0  7
Curve Equation t 7686r1 [1,-1,1,11497,-5997] 1
7686s (4 curves)	0	2- 3- 7- 61+	2- 3-  2 7- -4  2 -2  4
Curve Equation t 7686s1 [1,-1,1,-2354,-42447] 2 7686s2 [1,-1,1,-5234,84273] 4 7686s3 [1,-1,1,-73274,7650321] 2 7686s4 [1,-1,1,16726,593745] 2
7686t (3 curves)	1	2- 3- 7- 61-	2- 3-  0 7-  3 -4  3 -7
Curve Equation t Generators 7686t1 [1,-1,1,-24350,-1456387] 1 [-65493:32417:729] 7686t2 [1,-1,1,-25205,-1347955] 3 [-95:474:1] 7686t3 [1,-1,1,-505580,138314351] 3 [157:7845:1]
7686u (3 curves)	1	2- 3- 7- 61-	2- 3-  0 7- -3  5 -6  2
Curve Equation t Generators 7686u1 [1,-1,1,-725,-9025] 1 [3828:23569:64] 7686u2 [1,-1,1,5350,74081] 3 [75:907:1] 7686u3 [1,-1,1,-101705,12762569] 3 [-69:4444:1]
7686v (2 curves)	1	2- 3- 7- 61-	2- 3-  3 7- -6 -4  0 -7
Curve Equation t Generators 7686v1 [1,-1,1,-1661,31529] 1 [111:1042:1] 7686v2 [1,-1,1,-141656,20556443] 3 [147:1627:1]
7686w (2 curves)	1	2- 3- 7- 61-	2- 3- -3 7-  0  2  0 -1
Curve Equation t Generators 7686w1 [1,-1,1,54031,2298017] 1 [15:1756:1] 7686w2 [1,-1,1,-1010984,399872747] 3 [141:16057:1]
7686x (2 curves)	1	2- 3- 7- 61-	2- 3- -3 7-  0 -4 -3  2
Curve Equation t Generators 7686x1 [1,-1,1,-11804,-552481] 1 [519:-11789:1] 7686x2 [1,-1,1,78781,1918019] 3 [-21:514:1]

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