Cremona's table of elliptic curves

51129 = 3² · 13 · 19 · 23

Class	r	Atkin-Lehner	Eigenvalues
51129a (1 curve)	1	3+ 13+ 19+ 23+	1 3+ -4 -3  4 13+  3 19+
Curve Equation t Generators 51129a1 [1,-1,0,-3144,-110681] 1 [718:4195:8]
51129b (1 curve)	0	3+ 13+ 19+ 23-	-1 3+  4 -3 -4 13+ -3 19+
Curve Equation t 51129b1 [1,-1,1,-28298,3016684] 1
51129c (1 curve)	0	3- 13+ 19+ 23+	0 3-  3 -3 -1 13+  3 19+
Curve Equation t 51129c1 [0,0,1,-213366,-38065541] 1
51129d (2 curves)	2	3- 13+ 19+ 23+	1 3-  2  0 -6 13+ -8 19+
Curve Equation t Generators 51129d1 [1,-1,0,504,-41445] 2 [78:645:1]&[2190:35175:8] 51129d2 [1,-1,0,-15291,-695358] 2 [-658:559:8]&[-78:174:1]
51129e (1 curve)	0	3- 13+ 19+ 23+	2 3-  1 -1  5 13+ -3 19+
Curve Equation t 51129e1 [0,0,1,-147,-1827] 1
51129f (1 curve)	2	3- 13+ 19+ 23+	-2 3- -1 -3  3 13+  1 19+
Curve Equation t Generators 51129f1 [0,0,1,-15573,748332] 1 [-142:310:1]&[11:760:1]
51129g (2 curves)	1	3- 13+ 19+ 23-	-1 3-  4  0  0 13+  2 19+
Curve Equation t Generators 51129g1 [1,-1,1,-23,-466] 2 [1970:5693:125] 51129g2 [1,-1,1,-1058,-12886] 2 [64:390:1]
51129h (1 curve)	0	3- 13+ 19- 23-	0 3- -1  1  3 13+ -3 19-
Curve Equation t 51129h1 [0,0,1,124242,300818290] 1
51129i (1 curve)	0	3- 13+ 19- 23-	-1 3-  2  3  0 13+  3 19-
Curve Equation t 51129i1 [1,-1,1,2551,-93540] 1
51129j (1 curve)	0	3- 13- 19+ 23-	0 3- -1  1  3 13-  3 19+
Curve Equation t 51129j1 [0,0,1,-926385138,-10852642128535] 1
51129k (1 curve)	1	3- 13- 19- 23-	0 3- -1  1  3 13- -7 19-
Curve Equation t Generators 51129k1 [0,0,1,-327798,72672302] 1 [870:21118:1]
51129l (1 curve)	1	3- 13- 19- 23-	2 3-  3 -5  3 13-  3 19-
Curve Equation t Generators 51129l1 [0,0,1,9429,-793827] 1 [514:2219:8]

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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