Cremona's table of elliptic curves

6666 = 2 · 3 · 11 · 101

Class	r	Atkin-Lehner	Eigenvalues
6666a (2 curves)	0	2+ 3+ 11+ 101-	2+ 3+  4  2 11+  4 -6  6
Curve Equation t 6666a1 [1,1,0,-73,145] 2 6666a2 [1,1,0,-1083,13275] 2
6666b (4 curves)	0	2+ 3+ 11- 101+	2+ 3+ -2  0 11- -6 -6  0
Curve Equation t 6666b1 [1,1,0,-85506,-10376460] 2 6666b2 [1,1,0,-1396226,-635589900] 4 6666b3 [1,1,0,-22339586,-40649973516] 2 6666b4 [1,1,0,-1424386,-608652044] 2
6666c (2 curves)	1	2+ 3- 11+ 101-	2+ 3-  0  2 11+  4 -6  0
Curve Equation t Generators 6666c1 [1,0,1,-5596916,1931693042] 2 [252:23053:1] 6666c2 [1,0,1,20517644,14842731506] 2 [51964:11865101:1]
6666d (1 curve)	1	2+ 3- 11+ 101-	2+ 3- -3  2 11+ -2  0  6
Curve Equation t Generators 6666d1 [1,0,1,-4945,133412] 1 [42:-5:1]
6666e (1 curve)	1	2- 3+ 11+ 101-	2- 3+  1 -2 11+ -2  4  6
Curve Equation t Generators 6666e1 [1,1,1,75,219] 1 [3:20:1]
6666f (1 curve)	1	2- 3+ 11- 101+	2- 3+ -2  3 11-  0 -3 -3
Curve Equation t Generators 6666f1 [1,1,1,-539,4817] 1 [-15:106:1]
6666g (2 curves)	0	2- 3- 11+ 101-	2- 3-  0 -4 11+ -2  0  0
Curve Equation t 6666g1 [1,0,0,-23,-87] 2 6666g2 [1,0,0,-463,-3871] 2
6666h (2 curves)	0	2- 3- 11- 101+	2- 3-  0  2 11-  4  2  2
Curve Equation t 6666h1 [1,0,0,-4578,-119520] 2 6666h2 [1,0,0,-5588,-63162] 2
6666i (1 curve)	0	2- 3- 11- 101+	2- 3-  3  2 11- -2 -4  2
Curve Equation t 6666i1 [1,0,0,280131,-39189249] 1

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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