Cremona's table of elliptic curves

78302 = 2 · 7² · 17 · 47

Class	r	Atkin-Lehner	Eigenvalues
78302a (1 curve)	1	2+ 7- 17+ 47-	2+  1 -3 7-  5  2 17+ -2
Curve Equation t Generators 78302a1 [1,0,1,4580,78250] 1 [53:-713:1]
78302b (1 curve)	1	2+ 7- 17- 47+	2+ -1  3 7-  5 -2 17-  2
Curve Equation t Generators 78302b1 [1,1,0,94,-188] 1 [8:-38:1]
78302c (2 curves)	0	2+ 7- 17- 47-	2+  0  0 7-  0 -6 17-  0
Curve Equation t 78302c1 [1,-1,0,-13716922,-19550434380] 2 78302c2 [1,-1,0,-13842362,-19174540876] 2
78302d (2 curves)	0	2+ 7- 17- 47-	2+ -2  2 7-  2 -2 17-  0
Curve Equation t 78302d1 [1,0,1,-230865,9211556] 2 78302d2 [1,0,1,-2237905,-1280913756] 2
78302e (4 curves)	2	2- 7- 17+ 47-	2-  0 -2 7- -4  2 17+ -4
Curve Equation t Generators 78302e1 [1,-1,1,554,-5659] 2 [11:35:1]&[17:83:1] 78302e2 [1,-1,1,-3366,-52699] 4 [-362:765:8]&[-33:163:1] 78302e3 [1,-1,1,-20026,1053525] 2 [-11:1133:1]&[205:2249:1] 78302e4 [1,-1,1,-49426,-4216523] 2 [-127:69:1]&[-27822:17647:216]
78302f (1 curve)	0	2- 7- 17- 47+	2-  1  3 7-  1  2 17-  0
Curve Equation t 78302f1 [1,0,0,-11043229,14479404337] 1
78302g (2 curves)	0	2- 7- 17- 47+	2- -2  4 7- -2 -2 17- -4
Curve Equation t 78302g1 [1,0,0,-30514996,10006923408] 2 78302g2 [1,0,0,-307611956,-2066280597872] 2
78302h (2 curves)	1	2- 7- 17- 47-	2- -2  0 7- -2 -6 17-  0
Curve Equation t Generators 78302h1 [1,0,0,-38858,2943268] 2 [124:126:1] 78302h2 [1,0,0,-46698,1668484] 2 [-150:2378:1]

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