Cremona's table of elliptic curves

85527 = 3² · 13 · 17 · 43

Class	r	Atkin-Lehner	Eigenvalues
85527a (2 curves)	0	3- 13+ 17+ 43+	-1 3- -2 -2 -2 13+ 17+ -2
Curve Equation t 85527a1 [1,-1,1,-1176791,404491286] 2 85527a2 [1,-1,1,-17884976,29115836390] 2
85527b (2 curves)	1	3- 13+ 17- 43+	1 3-  0 -4 -2 13+ 17- -4
Curve Equation t Generators 85527b1 [1,-1,0,-96417,-9841208] 2 [-196:1322:1] 85527b2 [1,-1,0,-423432,96569473] 2 [-568:12677:1]
85527c (2 curves)	1	3- 13+ 17- 43+	1 3-  2  4  2 13+ 17-  4
Curve Equation t Generators 85527c1 [1,-1,0,54,-513] 2 [5197034:104731923:12167] 85527c2 [1,-1,0,-711,-6480] 2 [1708:69710:1]
85527d (2 curves)	1	3- 13+ 17- 43+	-1 3- -2  0 -6 13+ 17-  4
Curve Equation t Generators 85527d1 [1,-1,1,2974,1959896] 2 [36:1435:1] 85527d2 [1,-1,1,-218111,38306270] 2 [138:3220:1]
85527e (2 curves)	0	3- 13+ 17- 43-	-1 3-  0  4  2 13+ 17- -4
Curve Equation t 85527e1 [1,-1,1,-24125,-981732] 2 85527e2 [1,-1,1,-351140,-79988556] 2
85527f (2 curves)	0	3- 13+ 17- 43-	-1 3-  4  4 -6 13+ 17-  4
Curve Equation t 85527f1 [1,-1,1,-668,6094] 2 85527f2 [1,-1,1,-2603,-44216] 2
85527g (2 curves)	0	3- 13- 17+ 43-	1 3-  4 -4  0 13- 17+  2
Curve Equation t 85527g1 [1,-1,0,-450,3703] 2 85527g2 [1,-1,0,-1035,-7412] 2
85527h (2 curves)	2	3- 13- 17- 43+	-1 3-  0 -2  0 13- 17- -8
Curve Equation t Generators 85527h1 [1,-1,1,-410,1208] 2 [-138:497:8]&[-6:61:1] 85527h2 [1,-1,1,1525,8174] 2 [-2:72:1]&[33:289:1]

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

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