Cremona's table of elliptic curves

67925 = 5² · 11 · 13 · 19

Class	r	Atkin-Lehner	Eigenvalues
67925a (4 curves)	1	5+ 11+ 13+ 19+	1  0 5+  0 11+ 13+ -2 19+
Curve Equation t Generators 67925a1 [1,-1,0,-1517,-16984] 2 [124:1238:1] 67925a2 [1,-1,0,-22642,-1305609] 4 [11316:22617:64] 67925a3 [1,-1,0,-21017,-1502234] 2 [11543523810:-1806098242187:474552] 67925a4 [1,-1,0,-362267,-83834484] 2 [42038652:-6575833501:1728]
67925b (1 curve)	1	5+ 11+ 13+ 19+	1 -1 5+ -3 11+ 13+  0 19+
Curve Equation t Generators 67925b1 [1,1,0,-944125,-356888500] 1 [254680:9701226:125]
67925c (1 curve)	1	5+ 11+ 13+ 19+	-2  0 5+ -3 11+ 13+ -8 19+
Curve Equation t Generators 67925c1 [0,0,1,-13025,572156] 1 [65:-13:1]
67925d (3 curves)	0	5+ 11+ 13+ 19-	0  2 5+  1 11+ 13+  0 19-
Curve Equation t 67925d1 [0,-1,1,-19833,1081693] 1 67925d2 [0,-1,1,-21583,881318] 1 67925d3 [0,-1,1,-639083,-196379057] 1
67925e (2 curves)	0	5+ 11+ 13+ 19-	1 -2 5+ -2 11+ 13+  0 19-
Curve Equation t 67925e1 [1,0,1,-7151,-221427] 2 67925e2 [1,0,1,-112776,-14586427] 2
67925f (1 curve)	2	5+ 11+ 13- 19+	1  1 5+ -1 11+ 13- -4 19+
Curve Equation t Generators 67925f1 [1,0,1,-26,2323] 1 [7:46:1]&[206:993:8]
67925g (2 curves)	0	5+ 11+ 13- 19+	-1  0 5+ -2 11+ 13-  0 19+
Curve Equation t 67925g1 [1,-1,1,-38755,-2924878] 2 67925g2 [1,-1,1,-30630,-4192378] 2
67925h (2 curves)	0	5+ 11+ 13- 19+	-1  0 5+  4 11+ 13-  0 19+
Curve Equation t 67925h1 [1,-1,1,2370,2069372] 2 67925h2 [1,-1,1,-230005,41573122] 2
67925i (1 curve)	0	5+ 11+ 13- 19+	2  0 5+  1 11+ 13-  0 19+
Curve Equation t 67925i1 [0,0,1,-1985075,873531781] 1
67925j (2 curves)	1	5+ 11+ 13- 19-	-1 -2 5+  4 11+ 13-  2 19-
Curve Equation t Generators 67925j1 [1,0,0,-10463,-271208] 2 [-354:2777:8] 67925j2 [1,0,0,30162,-1855583] 2 [3646:80777:8]
67925k (1 curve)	1	5+ 11+ 13- 19-	-2 -2 5+  1 11+ 13- -2 19-
Curve Equation t Generators 67925k1 [0,1,1,-553508,-158564106] 1 [-437:237:1]
67925l (1 curve)	2	5+ 11- 13+ 19+	0  1 5+  0 11- 13+  2 19+
Curve Equation t Generators 67925l1 [0,1,1,-833,8764] 1 [-28:104:1]&[106:117:8]
67925m (1 curve)	0	5+ 11- 13+ 19+	2  2 5+ -1 11- 13+ -6 19+
Curve Equation t 67925m1 [0,-1,1,-7158,-133157] 1
67925n (2 curves)	1	5- 11- 13+ 19+	1 -2 5- -4 11- 13+  6 19+
Curve Equation t Generators 67925n1 [1,0,1,3299,-712077] 2 [2781:145301:1] 67925n2 [1,0,1,-102326,-12119577] 2 [-157:364:1]
67925o (1 curve)	2	5- 11- 13- 19+	0 -1 5-  0 11- 13- -2 19+
Curve Equation t Generators 67925o1 [0,-1,1,-20833,1137193] 1 [986:5221:8]&[17:887:1]
67925p (2 curves)	0	5- 11- 13- 19+	-1  2 5-  4 11- 13- -6 19+
Curve Equation t 67925p1 [1,1,1,132,-5644] 2 67925p2 [1,1,1,-4093,-98594] 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
Back to Tables and computations