Cremona's table of elliptic curves

51680 = 2⁵ · 5 · 17 · 19

Class	r	Atkin-Lehner	Eigenvalues
51680a (2 curves)	0	2+ 5+ 17+ 19-	2+  0 5+ -2  2  2 17+ 19-
Curve Equation t 51680a1 [0,0,0,-356453,-81901452] 2 51680a2 [0,0,0,-390748,-65192928] 2
51680b (2 curves)	0	2+ 5+ 17- 19+	2+  2 5+ -2 -2  2 17- 19+
Curve Equation t 51680b1 [0,-1,0,-446,-2080] 2 51680b2 [0,-1,0,1359,-16159] 2
51680c (2 curves)	1	2+ 5+ 17- 19-	2+  0 5+  0 -6 -2 17- 19-
Curve Equation t Generators 51680c1 [0,0,0,-2713,-54012] 2 [-32:6:1] 51680c2 [0,0,0,-908,-124768] 2 [124:1292:1]
51680d (2 curves)	1	2+ 5+ 17- 19-	2+ -2 5+  2  2  2 17- 19-
Curve Equation t Generators 51680d1 [0,1,0,-446,2080] 2 [-14:76:1] 51680d2 [0,1,0,1359,16159] 2 [5:152:1]
51680e (2 curves)	0	2- 5+ 17+ 19+	2-  0 5+  2 -2  2 17+ 19+
Curve Equation t 51680e1 [0,0,0,-356453,81901452] 2 51680e2 [0,0,0,-390748,65192928] 2
51680f (1 curve)	0	2- 5+ 17+ 19+	2- -1 5+  4  5 -4 17+ 19+
Curve Equation t 51680f1 [0,-1,0,-16,56] 1
51680g (1 curve)	1	2- 5+ 17+ 19-	2-  1 5+ -4 -5 -4 17+ 19-
Curve Equation t Generators 51680g1 [0,1,0,-16,-56] 1 [6:10:1]
51680h (2 curves)	1	2- 5+ 17- 19+	2-  0 5+  0  6 -2 17- 19+
Curve Equation t Generators 51680h1 [0,0,0,-2713,54012] 2 [274:285:8] 51680h2 [0,0,0,-908,124768] 2 [12:340:1]
51680i (1 curve)	1	2- 5- 17+ 19+	2-  3 5- -4  5 -4 17+ 19+
Curve Equation t Generators 51680i1 [0,0,0,-4111387,3208812734] 1 [33051:86590:27]
51680j (1 curve)	0	2- 5- 17+ 19-	2- -3 5-  4 -5 -4 17+ 19-
Curve Equation t 51680j1 [0,0,0,-4111387,-3208812734] 1

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

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