Cremona's table of elliptic curves

850 = 2 · 5² · 17

Class	r	Atkin-Lehner	Eigenvalues
850a (2 curves)	0	2+ 5+ 17-	2+ -1 5+ -2  0  1 17- -1
Curve Equation t 850a1 [1,1,0,9975,-114875] 1 850a2 [1,1,0,-166025,-26946875] 1
850b (4 curves)	0	2+ 5+ 17-	2+  2 5+  4  6 -2 17- -4
Curve Equation t 850b1 [1,1,0,-75,125] 2 850b2 [1,1,0,-1075,13125] 2 850b3 [1,1,0,-2575,-51375] 2 850b4 [1,1,0,-2825,-41125] 2
850c (1 curve)	1	2+ 5- 17-	2+  1 5-  0 -6  3 17- -7
Curve Equation t Generators 850c1 [1,0,1,-451,4798] 1 [2:61:1]
850d (1 curve)	1	2+ 5- 17-	2+  1 5- -5  4  3 17- -2
Curve Equation t Generators 850d1 [1,0,1,33924,-387702] 1 [21:567:1]
850e (1 curve)	1	2+ 5- 17-	2+ -3 5- -1 -4  3 17-  6
Curve Equation t Generators 850e1 [1,-1,0,8,16] 1 [4:-12:1]
850f (1 curve)	0	2- 5+ 17+	2- -1 5+  5  4 -3 17+ -2
Curve Equation t 850f1 [1,1,1,1357,-2559] 1
850g (2 curves)	0	2- 5+ 17+	2-  2 5+  2 -2  6 17+ -8
Curve Equation t 850g1 [1,1,1,-188,781] 2 850g2 [1,1,1,312,4781] 2
850h (4 curves)	0	2- 5+ 17+	2-  2 5+ -2  6 -2 17+  8
Curve Equation t 850h1 [1,1,1,-63838,6181531] 2 850h2 [1,1,1,-61838,6589531] 2 850h3 [1,1,1,-104213,-2590469] 2 850h4 [1,1,1,407787,-19998469] 2
850i (1 curve)	0	2- 5+ 17+	2-  3 5+  1 -4 -3 17+  6
Curve Equation t 850i1 [1,-1,1,195,2197] 1
850j (1 curve)	0	2- 5+ 17+	2- -3 5+ -2 -4  3 17+  3
Curve Equation t 850j1 [1,-1,1,-255,-1503] 1
850k (2 curves)	1	2- 5+ 17-	2- -1 5+ -2  0 -5 17- -1
Curve Equation t Generators 850k1 [1,1,1,-63,781] 1 [25:112:1] 850k2 [1,1,1,562,-20469] 1 [225:-3513:1]
850l (1 curve)	1	2- 5- 17+	2- -1 5-  0 -6 -3 17+ -7
Curve Equation t Generators 850l1 [1,1,1,-18,31] 1 [5:-13:1]

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