Cremona's table of elliptic curves

16450 = 2 · 5² · 7 · 47

Class	r	Atkin-Lehner	Eigenvalues
16450a (2 curves)	1	2+ 5+ 7+ 47+	2+  2 5+ 7+  0  4 -6  5
Curve Equation t Generators 16450a1 [1,1,0,-17965,946845] 1 [10395:18723:125] 16450a2 [1,1,0,85435,3340085] 1 [7290843766655:254826397729898:71215348625]
16450b (2 curves)	0	2+ 5+ 7+ 47-	2+  0 5+ 7+ -2  0  2 -6
Curve Equation t 16450b1 [1,-1,0,41708,2513616] 2 16450b2 [1,-1,0,-214292,22737616] 2
16450c (1 curve)	0	2+ 5+ 7+ 47-	2+  3 5+ 7+  1  6  2  0
Curve Equation t 16450c1 [1,-1,0,-442,3716] 1
16450d (4 curves)	0	2+ 5+ 7- 47+	2+  0 5+ 7-  4 -2  6 -4
Curve Equation t 16450d1 [1,-1,0,-4817,-122659] 2 16450d2 [1,-1,0,-12817,397341] 4 16450d3 [1,-1,0,-187817,31372341] 2 16450d4 [1,-1,0,34183,2606341] 2
16450e (1 curve)	0	2+ 5+ 7- 47+	2+  1 5+ 7- -5 -2  6  4
Curve Equation t 16450e1 [1,0,1,599,-4052] 1
16450f (1 curve)	1	2+ 5+ 7- 47-	2+ -2 5+ 7-  0  0 -2 -5
Curve Equation t Generators 16450f1 [1,0,1,-781,8328] 1 [16:-8:1]
16450g (1 curve)	1	2+ 5- 7+ 47-	2+  0 5- 7+ -2 -4  0 -1
Curve Equation t Generators 16450g1 [1,-1,0,133,-1459] 1 [19:78:1]
16450h (1 curve)	1	2+ 5- 7+ 47-	2+  3 5- 7+  1 -4 -3  5
Curve Equation t Generators 16450h1 [1,-1,0,7433,-296059] 1 [12783:275726:27]
16450i (2 curves)	0	2- 5+ 7+ 47+	2- -2 5+ 7+  0  2  0 -4
Curve Equation t 16450i1 [1,0,0,-410088,-101110208] 2 16450i2 [1,0,0,-390088,-111410208] 2
16450j (2 curves)	1	2- 5+ 7+ 47-	2- -1 5+ 7+  3 -2  0  2
Curve Equation t Generators 16450j1 [1,1,1,87,1531] 1 [-1:38:1] 16450j2 [1,1,1,-788,-42219] 1 [61:345:1]
16450k (4 curves)	1	2- 5+ 7+ 47-	2-  2 5+ 7+  0 -2  0 -4
Curve Equation t Generators 16450k1 [1,1,1,-6313,-31469] 2 [-76770:1333819:5832] 16450k2 [1,1,1,24937,-218969] 2 [53391019410:-1524001813127:70957944] 16450k3 [1,1,1,-378188,-89675219] 2 [6845:560577:1] 16450k4 [1,1,1,-373188,-92155219] 2 [57204:1060027:64]
16450l (1 curve)	1	2- 5+ 7- 47+	2-  0 5+ 7- -2  4  0 -1
Curve Equation t Generators 16450l1 [1,-1,1,5,-13] 1 [5:8:1]
16450m (1 curve)	1	2- 5+ 7- 47+	2-  1 5+ 7-  1 -2  0 -2
Curve Equation t Generators 16450m1 [1,0,0,-2925213,2282618417] 1 [1186:21359:1]
16450n (2 curves)	1	2- 5+ 7- 47+	2- -2 5+ 7- -2 -2 -6  4
Curve Equation t Generators 16450n1 [1,0,0,-238,1092] 2 [-8:54:1] 16450n2 [1,0,0,-1238,-15908] 2 [-18:34:1]
16450o (1 curve)	1	2- 5+ 7- 47+	2- -3 5+ 7-  1  4  3  5
Curve Equation t Generators 16450o1 [1,-1,1,185820,-36821553] 1 [575:15833:1]
16450p (2 curves)	0	2- 5+ 7- 47-	2-  0 5+ 7-  4  6 -6 -6
Curve Equation t 16450p1 [1,-1,1,-6855,-284353] 2 16450p2 [1,-1,1,-118855,-15740353] 2
16450q (2 curves)	0	2- 5+ 7- 47-	2-  2 5+ 7-  2  6  6  8
Curve Equation t 16450q1 [1,1,1,-6838,196531] 2 16450q2 [1,1,1,-106838,13396531] 2
16450r (2 curves)	0	2- 5+ 7- 47-	2- -2 5+ 7-  2  2 -2  4
Curve Equation t 16450r1 [1,0,0,-8813,-316883] 2 16450r2 [1,0,0,-15063,189367] 2
16450s (1 curve)	1	2- 5- 7+ 47+	2-  2 5- 7+  0  0  2 -5
Curve Equation t Generators 16450s1 [1,1,1,-19513,1041031] 1 [85:32:1]
16450t (2 curves)	1	2- 5- 7- 47-	2- -2 5- 7-  0 -4  6  5
Curve Equation t Generators 16450t1 [1,0,0,-449138,119253892] 3 [52:9774:1] 16450t2 [1,0,0,2135862,413238892] 1 [4846:350524:1]

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