Cremona's table of elliptic curves

20202 = 2 · 3 · 7 · 13 · 37

Class	r	Atkin-Lehner	Eigenvalues
20202a (4 curves)	0	2+ 3+ 7+ 13+ 37-	2+ 3+ -2 7+  0 13+ -6  4
Curve Equation t 20202a1 [1,1,0,-4916,-25776] 2 20202a2 [1,1,0,-58996,-5531120] 4 20202a3 [1,1,0,-943516,-353147480] 2 20202a4 [1,1,0,-39756,-9175176] 2
20202b (1 curve)	0	2+ 3+ 7+ 13- 37+	2+ 3+ -1 7+ -4 13-  2  1
Curve Equation t 20202b1 [1,1,0,551012,35741776] 1
20202c (2 curves)	1	2+ 3+ 7- 13+ 37-	2+ 3+ -2 7- -6 13+  4 -4
Curve Equation t Generators 20202c1 [1,1,0,-62246,-248940] 2 [-247:488:1] 20202c2 [1,1,0,248794,-1679724] 2 [460:14274:1]
20202d (4 curves)	1	2+ 3- 7- 13+ 37+	2+ 3-  2 7- -4 13+ -2 -4
Curve Equation t Generators 20202d1 [1,0,1,-83175,9225706] 2 [-25:3372:1] 20202d2 [1,0,1,-86055,8551786] 4 [-28:3321:1] 20202d3 [1,0,1,-349695,-70856582] 2 [84830:222424:125] 20202d4 [1,0,1,131505,44840794] 2 [268:9833:1]
20202e (2 curves)	0	2+ 3- 7- 13- 37+	2+ 3-  2 7-  2 13- -2  0
Curve Equation t 20202e1 [1,0,1,-655,-5182] 2 20202e2 [1,0,1,1425,-30974] 2
20202f (2 curves)	1	2- 3+ 7+ 13+ 37-	2- 3+ -2 7+ -6 13+  0  4
Curve Equation t Generators 20202f1 [1,1,1,-19964,-888739] 2 [-67:425:1] 20202f2 [1,1,1,41476,-5214115] 2 [221:3737:1]
20202g (4 curves)	0	2- 3+ 7- 13+ 37-	2- 3+ -2 7-  0 13+ -6 -4
Curve Equation t 20202g1 [1,1,1,-1004374,-475579309] 4 20202g2 [1,1,1,-17060694,-27129070509] 4 20202g3 [1,1,1,-272967254,-1735970715565] 2 20202g4 [1,1,1,-18055254,-23789735853] 2
20202h (2 curves)	0	2- 3+ 7- 13- 37+	2- 3+  2 7-  2 13-  4 -4
Curve Equation t 20202h1 [1,1,1,-487,-4339] 2 20202h2 [1,1,1,-427,-5371] 2
20202i (6 curves)	1	2- 3- 7+ 13- 37-	2- 3- -2 7+ -4 13-  2 -4
Curve Equation t Generators 20202i1 [1,0,0,29291,4549985] 4 [-94:1031:1] 20202i2 [1,0,0,-298389,54947169] 8 [-570:6603:1] 20202i3 [1,0,0,-1231509,-470399391] 4 [-684:7557:1] 20202i4 [1,0,0,-4608149,3807024225] 4 [1246:-317:1] 20202i5 [1,0,0,-19118469,-32176824687] 2 [6024:263943:1] 20202i6 [1,0,0,1725531,-2382421455] 2 [1980:92805:1]
20202j (2 curves)	0	2- 3- 7- 13+ 37+	2- 3-  2 7-  2 13+ -2  8
Curve Equation t 20202j1 [1,0,0,-28327592,-58033692672] 2 20202j2 [1,0,0,-28239712,-58411629400] 2
20202k (4 curves)	0	2- 3- 7- 13+ 37+	2- 3-  2 7- -4 13+ -2 -4
Curve Equation t 20202k1 [1,0,0,-464499062,1092482718372] 2 20202k2 [1,0,0,-5833208182,171288078015140] 4 20202k3 [1,0,0,-93302632822,10969545994787492] 2 20202k4 [1,0,0,-4263129462,265569735072420] 2
20202l (2 curves)	0	2- 3- 7- 13+ 37+	2- 3-  2 7-  6 13+  6  0
Curve Equation t 20202l1 [1,0,0,-137,597] 2 20202l2 [1,0,0,-7,1715] 2

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

Part of Computational Number Theory
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