Cremona's table of elliptic curves

28116 = 2² · 3² · 11 · 71

Class	r	Atkin-Lehner	Eigenvalues
28116a (2 curves)	1	2- 3+ 11+ 71-	2- 3+  0  4 11+ -4  2  4
Curve Equation t Generators 28116a1 [0,0,0,-540,-4131] 2 [2691:139590:1] 28116a2 [0,0,0,945,-22842] 2 [2690890:139595687:1000]
28116b (2 curves)	1	2- 3+ 11- 71+	2- 3+  0  4 11- -4 -2  4
Curve Equation t Generators 28116b1 [0,0,0,-60,153] 2 [-8:11:1] 28116b2 [0,0,0,105,846] 2 [-5:14:1]
28116c (1 curve)	1	2- 3- 11+ 71+	2- 3-  1  3 11+  3  1 -4
Curve Equation t Generators 28116c1 [0,0,0,-5592,160868] 1 [28:162:1]
28116d (2 curves)	1	2- 3- 11+ 71+	2- 3-  2  0 11+  0 -4  2
Curve Equation t Generators 28116d1 [0,0,0,2076,-115535] 2 [38:135:1] 28116d2 [0,0,0,-26679,-1524530] 2 [1955:86130:1]
28116e (1 curve)	1	2- 3- 11+ 71+	2- 3-  3 -1 11+ -5  3 -4
Curve Equation t Generators 28116e1 [0,0,0,-19776,-1049452] 1 [-574:81:8]
28116f (1 curve)	2	2- 3- 11+ 71-	2- 3- -3 -1 11+ -5 -3 -2
Curve Equation t Generators 28116f1 [0,0,0,-144,324] 1 [0:-18:1]&[-3:27:1]
28116g (1 curve)	2	2- 3- 11- 71+	2- 3- -1 -3 11- -3 -7  2
Curve Equation t Generators 28116g1 [0,0,0,-2568,46276] 1 [-52:198:1]&[-19:297:1]
28116h (1 curve)	1	2- 3- 11- 71-	2- 3- -1  3 11- -5  3  6
Curve Equation t Generators 28116h1 [0,0,0,-1239888,531396916] 1 [581:2673:1]
28116i (2 curves)	1	2- 3- 11- 71-	2- 3-  2  0 11-  4  0 -6
Curve Equation t Generators 28116i1 [0,0,0,-155244,-23560355] 2 [96027261569217719:5792759862932390490:26073895028077] 28116i2 [0,0,0,-2484399,-1507232090] 2 [91831014955915721601830706438765370:5092409372869715678697101986876870845:23994286169994824010146595519848]
28116j (2 curves)	1	2- 3- 11- 71-	2- 3-  3 -1 11- -1  3  2
Curve Equation t Generators 28116j1 [0,0,0,-9696,-367148] 1 [-7055:2187:125] 28116j2 [0,0,0,-35616,2200228] 3 [-163:1917:1]

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

Part of Computational Number Theory
Back to Tables and computations