Cremona's table of elliptic curves

8736 = 2⁵ · 3 · 7 · 13

Class	r	Atkin-Lehner	Eigenvalues
8736a (1 curve)	1	2+ 3+ 7+ 13+	2+ 3+  3 7+  0 13+  0 -5
Curve Equation t Generators 8736a1 [0,-1,0,-29,117] 1 [-1:12:1]
8736b (1 curve)	1	2+ 3+ 7+ 13+	2+ 3+  3 7+ -5 13+  1  5
Curve Equation t Generators 8736b1 [0,-1,0,296,676] 1 [0:26:1]
8736c (2 curves)	0	2+ 3+ 7+ 13-	2+ 3+  0 7+  6 13-  8 -4
Curve Equation t 8736c1 [0,-1,0,-358,-3404] 2 8736c2 [0,-1,0,-6273,-189135] 2
8736d (4 curves)	0	2+ 3+ 7+ 13-	2+ 3+  2 7+ -4 13-  6 -4
Curve Equation t 8736d1 [0,-1,0,-182,0] 4 8736d2 [0,-1,0,-2072,-35532] 2 8736d3 [0,-1,0,-1937,33345] 2 8736d4 [0,-1,0,728,-728] 2
8736e (1 curve)	1	2+ 3+ 7- 13-	2+ 3+ -3 7-  4 13-  4 -3
Curve Equation t Generators 8736e1 [0,-1,0,-397,-10619] 1 [127:1404:1]
8736f (1 curve)	0	2+ 3- 7+ 13+	2+ 3- -3 7+  3 13+  1 -3
Curve Equation t 8736f1 [0,1,0,-112,956] 1
8736g (1 curve)	1	2+ 3- 7+ 13-	2+ 3- -3 7+ -4 13-  4  3
Curve Equation t Generators 8736g1 [0,1,0,-397,10619] 1 [29:-156:1]
8736h (1 curve)	1	2+ 3- 7- 13+	2+ 3- -1 7- -1 13+ -5  3
Curve Equation t Generators 8736h1 [0,1,0,-12696,-658872] 1 [138:486:1]
8736i (1 curve)	1	2+ 3- 7- 13+	2+ 3- -1 7-  4 13+  0 -7
Curve Equation t Generators 8736i1 [0,1,0,-15421,732011] 1 [77:84:1]
8736j (4 curves)	1	2+ 3- 7- 13+	2+ 3-  2 7- -4 13+ -2  0
Curve Equation t Generators 8736j1 [0,1,0,-42,0] 4 [56:420:1] 8736j2 [0,1,0,-432,-3588] 2 [7195:50862:125] 8736j3 [0,1,0,-497,4095] 2 [1:60:1] 8736j4 [0,1,0,168,168] 2 [442:3405:8]
8736k (4 curves)	0	2+ 3- 7- 13-	2+ 3-  2 7-  4 13-  6  4
Curve Equation t 8736k1 [0,1,0,-182,0] 4 8736k2 [0,1,0,-1937,-33345] 2 8736k3 [0,1,0,-2072,35532] 2 8736k4 [0,1,0,728,728] 2
8736l (1 curve)	0	2- 3+ 7+ 13+	2- 3+ -1 7+  1 13+ -5 -3
Curve Equation t 8736l1 [0,-1,0,-12696,658872] 1
8736m (1 curve)	0	2- 3+ 7+ 13+	2- 3+ -1 7+ -4 13+  0  7
Curve Equation t 8736m1 [0,-1,0,-15421,-732011] 1
8736n (4 curves)	0	2- 3+ 7+ 13+	2- 3+  2 7+  4 13+ -2  0
Curve Equation t 8736n1 [0,-1,0,-42,0] 4 8736n2 [0,-1,0,-497,-4095] 2 8736n3 [0,-1,0,-432,3588] 2 8736n4 [0,-1,0,168,-168] 2
8736o (2 curves)	1	2- 3+ 7+ 13-	2- 3+  2 7+  0 13- -4  4
Curve Equation t Generators 8736o1 [0,-1,0,-5122,-139772] 2 [96:494:1] 8736o2 [0,-1,0,-82017,-9013455] 2 [1279:44460:1]
8736p (2 curves)	1	2- 3+ 7+ 13-	2- 3+ -2 7+  4 13-  0 -4
Curve Equation t Generators 8736p1 [0,-1,0,6,180] 2 [2:14:1] 8736p2 [0,-1,0,-449,3729] 2 [-16:81:1]
8736q (1 curve)	1	2- 3+ 7+ 13-	2- 3+ -3 7+  0 13- -4 -1
Curve Equation t Generators 8736q1 [0,-1,0,-3757,459589] 1 [427:8748:1]
8736r (1 curve)	1	2- 3+ 7- 13+	2- 3+ -1 7-  0 13+  0  1
Curve Equation t Generators 8736r1 [0,-1,0,499,357] 1 [11:84:1]
8736s (4 curves)	1	2- 3+ 7- 13+	2- 3+  2 7-  0 13+ -6  4
Curve Equation t Generators 8736s1 [0,-1,0,-9142,337480] 4 [402:7840:1] 8736s2 [0,-1,0,-15057,-146367] 2 [-19:364:1] 8736s3 [0,-1,0,-146032,21528052] 4 [-227:6552:1] 8736s4 [0,-1,0,-3472,745720] 2 [49845:989072:125]
8736t (1 curve)	1	2- 3+ 7- 13+	2- 3+ -3 7- -3 13+  1  3
Curve Equation t Generators 8736t1 [0,-1,0,-112,-956] 1 [24:98:1]
8736u (1 curve)	1	2- 3- 7+ 13+	2- 3- -1 7+  0 13+  0 -1
Curve Equation t Generators 8736u1 [0,1,0,499,-357] 1 [1:12:1]
8736v (4 curves)	1	2- 3- 7+ 13+	2- 3-  2 7+  0 13+ -6 -4
Curve Equation t Generators 8736v1 [0,1,0,-9142,-337480] 4 [116:420:1] 8736v2 [0,1,0,-146032,-21528052] 2 [4679:318990:1] 8736v3 [0,1,0,-15057,146367] 4 [-126:243:1] 8736v4 [0,1,0,-3472,-745720] 2 [874:3495:8]
8736w (1 curve)	0	2- 3- 7- 13+	2- 3-  3 7-  0 13+  0  5
Curve Equation t 8736w1 [0,1,0,-29,-117] 1
8736x (1 curve)	0	2- 3- 7- 13+	2- 3-  3 7-  5 13+  1 -5
Curve Equation t 8736x1 [0,1,0,296,-676] 1
8736y (2 curves)	1	2- 3- 7- 13-	2- 3-  0 7- -6 13-  8  4
Curve Equation t Generators 8736y1 [0,1,0,-358,3404] 2 [-10:78:1] 8736y2 [0,1,0,-6273,189135] 2 [42:39:1]
8736z (2 curves)	1	2- 3- 7- 13-	2- 3-  2 7-  0 13- -4 -4
Curve Equation t Generators 8736z1 [0,1,0,-5122,139772] 2 [34:78:1] 8736z2 [0,1,0,-82017,9013455] 2 [138:585:1]
8736ba (2 curves)	1	2- 3- 7- 13-	2- 3- -2 7- -4 13-  0  4
Curve Equation t Generators 8736ba1 [0,1,0,6,-180] 2 [12:42:1] 8736ba2 [0,1,0,-449,-3729] 2 [-14:3:1]
8736bb (1 curve)	1	2- 3- 7- 13-	2- 3- -3 7-  0 13- -4  1
Curve Equation t Generators 8736bb1 [0,1,0,-3757,-459589] 1 [113:756:1]

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