Cremona's table of elliptic curves

85529 = 31² · 89

Class	r	Atkin-Lehner	Eigenvalues
85529a (1 curve)	1	31+ 89+	1 -1  3  3  3  1 -1 -1
Curve Equation t Generators 85529a1 [1,1,0,-63926,4775887] 1 [283290:200471:3375]
85529b (2 curves)	0	31- 89+	1 -2 -2  2  4 -2 -6 -2
Curve Equation t 85529b1 [1,0,1,-1462,-16845] 2 85529b2 [1,0,1,3343,-103335] 2
85529c (1 curve)	1	31- 89-	1  1  3  3 -3 -1  1 -1
Curve Equation t Generators 85529c1 [1,0,1,-67,-167] 1 [-973:671:343]
85529d (1 curve)	1	31- 89-	-1  1 -1 -4  2 -2 -3 -5
Curve Equation t Generators 85529d1 [1,0,0,-981,-18046] 1 [43:119:1]

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

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