Cremona's table of elliptic curves

8715 = 3 · 5 · 7 · 83

Class	r	Atkin-Lehner	Eigenvalues
8715a (2 curves)	0	3+ 5+ 7+ 83-	1 3+ 5+ 7+  6 -4  0 -2
Curve Equation t 8715a1 [1,1,0,-338,-1857] 2 8715a2 [1,1,0,887,-10922] 2
8715b (1 curve)	0	3+ 5+ 7- 83+	0 3+ 5+ 7-  2 -2  6  3
Curve Equation t 8715b1 [0,-1,1,-201,-21184] 1
8715c (4 curves)	1	3+ 5+ 7- 83-	1 3+ 5+ 7-  0 -6 -2  0
Curve Equation t Generators 8715c1 [1,1,0,-94558,-11231177] 2 [25518:724061:27] 8715c2 [1,1,0,-94803,-11170368] 4 [-4186521808:-5523289540:23639903] 8715c3 [1,1,0,-171348,9328383] 2 [-112882:1941703:343] 8715c4 [1,1,0,-22178,-27772443] 2 [3424134412337480318228:-95709835771995106751227:4172690029097641024]
8715d (4 curves)	1	3+ 5+ 7- 83-	1 3+ 5+ 7-  4 -2 -6  8
Curve Equation t Generators 8715d1 [1,1,0,-534243,118411272] 2 [-418:96935:8] 8715d2 [1,1,0,-8037368,8766513147] 4 [408714:3764041:216] 8715d3 [1,1,0,-128595743,561237322422] 4 [6135931032558:-1407992886173:935441352] 8715d4 [1,1,0,-7528993,9924286372] 2 [16523573442:481176933973:10941048]
8715e (2 curves)	1	3+ 5+ 7- 83-	1 3+ 5+ 7- -6  0  4  6
Curve Equation t Generators 8715e1 [1,1,0,-12453,529728] 2 [68:22:1] 8715e2 [1,1,0,-12428,531993] 2 [16:573:1]
8715f (1 curve)	0	3+ 5- 7- 83-	0 3+ 5- 7- -2  6  6  5
Curve Equation t 8715f1 [0,-1,1,-155,-694] 1
8715g (2 curves)	0	3+ 5- 7- 83-	-1 3+ 5- 7-  2 -4  0  4
Curve Equation t 8715g1 [1,1,1,-3840,-93120] 2 8715g2 [1,1,1,-4715,-48670] 2
8715h (4 curves)	0	3- 5+ 7+ 83+	1 3- 5+ 7+ -4  6 -6 -4
Curve Equation t 8715h1 [1,0,1,-64,-199] 2 8715h2 [1,0,1,-109,107] 4 8715h3 [1,0,1,-1354,19031] 2 8715h4 [1,0,1,416,947] 2
8715i (2 curves)	1	3- 5+ 7+ 83-	1 3- 5+ 7+  2 -4 -4  8
Curve Equation t Generators 8715i1 [1,0,1,-64,137] 2 [54:11:8] 8715i2 [1,0,1,-939,10987] 2 [11:39:1]
8715j (4 curves)	1	3- 5+ 7- 83+	1 3- 5+ 7-  0  2 -2 -4
Curve Equation t Generators 8715j1 [1,0,1,-2159,46901] 2 [9:163:1] 8715j2 [1,0,1,-36604,2692277] 4 [31:1244:1] 8715j3 [1,0,1,-38679,2369407] 2 [35:1011:1] 8715j4 [1,0,1,-585649,172456991] 2 [3734:5479:8]
8715k (2 curves)	0	3- 5- 7+ 83-	1 3- 5- 7+ -2  4  0  2
Curve Equation t 8715k1 [1,0,1,-253,1523] 2 8715k2 [1,0,1,-228,1843] 2
8715l (2 curves)	1	3- 5- 7- 83-	-1 3- 5- 7- -4  2  2 -2
Curve Equation t Generators 8715l1 [1,0,0,-35,0] 2 [-5:10:1] 8715l2 [1,0,0,140,35] 2 [2:17:1]

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