Cremona's table of elliptic curves

31720 = 2³ · 5 · 13 · 61

Class	r	Atkin-Lehner	Eigenvalues
31720a (2 curves)	1	2+ 5- 13- 61+	2+  0 5- -2  0 13-  4 -4
Curve Equation t Generators 31720a1 [0,0,0,-302,-1991] 2 [25:78:1] 31720a2 [0,0,0,-607,2706] 2 [35:156:1]
31720b (2 curves)	0	2+ 5- 13- 61-	2+ -2 5- -4  2 13-  6  0
Curve Equation t 31720b1 [0,1,0,-17180,-872480] 2 31720b2 [0,1,0,-17160,-874592] 2
31720c (2 curves)	0	2- 5+ 13+ 61+	2-  0 5+  4 -6 13+  8  8
Curve Equation t 31720c1 [0,0,0,-623,-5678] 2 31720c2 [0,0,0,-1843,23358] 2
31720d (2 curves)	2	2- 5- 13- 61+	2-  0 5- -4 -2 13-  0 -4
Curve Equation t Generators 31720d1 [0,0,0,-562,4509] 2 [-7:90:1]&[-2:75:1] 31720d2 [0,0,0,-8687,311634] 2 [-67:770:1]&[-7:610:1]
31720e (2 curves)	0	2- 5- 13- 61+	2-  2 5-  0  6 13-  6 -6
Curve Equation t 31720e1 [0,-1,0,-8458580,9471595172] 2 31720e2 [0,-1,0,-8384160,9646363100] 2
31720f (4 curves)	1	2- 5- 13- 61-	2-  0 5-  0 -4 13-  6  0
Curve Equation t Generators 31720f1 [0,0,0,-1322,18501] 2 [615:388:27] 31720f2 [0,0,0,-1327,18354] 4 [3:120:1] 31720f3 [0,0,0,-107,50806] 4 [3147:176540:1] 31720f4 [0,0,0,-2627,-23506] 2 [-10:42:1]

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

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