Cremona's table of elliptic curves

680 = 2³ · 5 · 17

Class	r	Atkin-Lehner	Eigenvalues
680a (4 curves)	1	2- 5+ 17-	2-  0 5+  0  0 -2 17- -4
Curve Equation t Generators 680a1 [0,0,0,-143,658] 4 [-11:30:1] 680a2 [0,0,0,-163,462] 4 [2:12:1] 680a3 [0,0,0,-1163,-14938] 2 [46:170:1] 680a4 [0,0,0,517,3318] 2 [138:1644:1]
680b (1 curve)	0	2- 5- 17-	2- -1 5-  2  4 -1 17- -1
Curve Equation t 680b1 [0,-1,0,0,-20] 1
680c (2 curves)	0	2- 5- 17-	2-  2 5-  2 -2  2 17-  8
Curve Equation t 680c1 [0,-1,0,-3540,-79900] 2 680c2 [0,-1,0,-3520,-80868] 2

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

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