Cremona's table of elliptic curves

76585 = 5 · 17² · 53

Class	r	Atkin-Lehner	Eigenvalues
76585a (2 curves)	2	5+ 17+ 53-	1 -2 5+ -2 -6  2 17+  0
Curve Equation t Generators 76585a1 [1,0,1,-1328684,479887221] 2 [1518:121773:8]&[3214:24889:8] 76585a2 [1,0,1,2730321,2838980927] 2 [-1746:378881:8]&[30350:2067933:8]
76585b (2 curves)	0	5- 17+ 53+	1  2 5-  0  2 -6 17+ -6
Curve Equation t 76585b1 [1,1,0,-7838697,8443957136] 2 76585b2 [1,1,0,-7837252,8447227749] 2
76585c (2 curves)	2	5- 17+ 53+	-1  0 5- -2  0 -6 17+ -2
Curve Equation t Generators 76585c1 [1,-1,1,-39792,3065066] 2 [-174:2254:1]&[51:1054:1] 76585c2 [1,-1,1,-38347,3296844] 2 [102:-714:1]&[-38:2186:1]

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

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