Cremona's table of elliptic curves

1020 = 2² · 3 · 5 · 17

Class	r	Atkin-Lehner	Eigenvalues
1020a (1 curve)	0	2- 3+ 5+ 17+	2- 3+ 5+ -1  3 -2 17+  1
Curve Equation t 1020a1 [0,-1,0,-6,-75] 1
1020b (2 curves)	1	2- 3+ 5- 17+	2- 3+ 5-  0 -6  2 17+ -8
Curve Equation t Generators 1020b1 [0,-1,0,-25,-38] 2 [-3:1:1] 1020b2 [0,-1,0,20,-200] 2 [10:30:1]
1020c (1 curve)	1	2- 3+ 5- 17+	2- 3+ 5- -3  3 -4 17+  1
Curve Equation t Generators 1020c1 [0,-1,0,-1230,17025] 1 [20:-5:1]
1020d (1 curve)	0	2- 3+ 5- 17-	2- 3+ 5-  3  1 -2 17-  1
Curve Equation t 1020d1 [0,-1,0,30,45] 1
1020e (2 curves)	1	2- 3- 5+ 17+	2- 3- 5+ -1 -3 -4 17+ -7
Curve Equation t Generators 1020e1 [0,1,0,-6,9] 3 [-3:3:1] 1020e2 [0,1,0,54,-195] 1 [5:15:1]
1020f (2 curves)	0	2- 3- 5+ 17-	2- 3- 5+  0 -2  2 17-  8
Curve Equation t 1020f1 [0,1,0,-440521,112381580] 2 1020f2 [0,1,0,-407716,129860084] 2
1020g (2 curves)	0	2- 3- 5+ 17-	2- 3- 5+  5  3  2 17- -7
Curve Equation t 1020g1 [0,1,0,-86,-375] 3 1020g2 [0,1,0,-7226,-238851] 1
1020h (1 curve)	1	2- 3- 5- 17-	2- 3- 5- -5 -5  0 17-  1
Curve Equation t Generators 1020h1 [0,1,0,-170,6225] 1 [10:75:1]

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

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