Cremona's table of elliptic curves

116571 = 3 · 7² · 13 · 61

Class	r	Atkin-Lehner	Eigenvalues
116571a (1 curve)	0	3+ 7+ 13- 61+	0 3+ -3 7+ -2 13-  3 -6
Curve Equation t 116571a1 [0,-1,1,-8623477,-9744779850] 1
116571b (1 curve)	1	3+ 7+ 13- 61-	-2 3+  2 7+ -2 13- -2  2
Curve Equation t Generators 116571b1 [0,-1,1,8118,-4100524] 1 [2924:158147:1]
116571c (3 curves)	0	3+ 7- 13+ 61+	0 3+ -3 7- -6 13+ -3 -2
Curve Equation t 116571c1 [0,-1,1,-2907,-87865] 1 116571c2 [0,-1,1,23553,1307900] 1 116571c3 [0,-1,1,-604137,182396465] 1
116571d (1 curve)	0	3+ 7- 13+ 61+	1 3+  1 7-  0 13+ -5  8
Curve Equation t 116571d1 [1,1,0,-6052,-1551353] 1
116571e (4 curves)	0	3+ 7- 13+ 61+	1 3+ -2 7-  4 13+ -6  8
Curve Equation t 116571e1 [1,1,0,-956,-10989] 2 116571e2 [1,1,0,-3161,54720] 4 116571e3 [1,1,0,6394,331815] 2 116571e4 [1,1,0,-47996,4027101] 2
116571f (1 curve)	2	3+ 7- 13- 61-	1 3+  3 7- -6 13- -6 -5
Curve Equation t Generators 116571f1 [1,1,0,-79111,8531818] 1 [162:-68:1]&[-78:3812:1]
116571g (1 curve)	2	3+ 7- 13- 61-	-2 3+ -3 7-  0 13- -6  7
Curve Equation t Generators 116571g1 [0,-1,1,-72,-610] 1 [12:10:1]&[14:30:1]
116571h (1 curve)	2	3- 7+ 13- 61-	1 3- -1 7+  0 13-  5 -8
Curve Equation t Generators 116571h1 [1,0,1,-124,4505] 1 [-17:50:1]&[-114:521:8]
116571i (4 curves)	1	3- 7- 13+ 61+	1 3- -2 7-  4 13+  2  4
Curve Equation t Generators 116571i1 [1,0,1,6393,-175619] 2 [53507684785179:-610311602023063:878942611539] 116571i2 [1,0,1,-35012,-1633075] 4 [-3716931:-24750206:29791] 116571i3 [1,0,1,-229297,41031911] 2 [-407:8387:1] 116571i4 [1,0,1,-503207,-137409625] 2 [-420090853212794:71994844003329:1032138271016]
116571j (1 curve)	1	3- 7- 13+ 61+	1 3- -3 7- -6 13+  6  5
Curve Equation t Generators 116571j1 [1,0,1,-1615,-25105] 1 [123:1219:1]
116571k (4 curves)	1	3- 7- 13+ 61+	-1 3-  2 7-  4 13+ -2  0
Curve Equation t Generators 116571k1 [1,0,0,-46502,1917747] 2 [-22405:276437:125] 116571k2 [1,0,0,-634747,194509160] 4 [449:53:1] 116571k3 [1,0,0,-526702,262901645] 2 [7652:662729:1] 116571k4 [1,0,0,-10154712,12454320087] 2 [1803:1818:1]
116571l (1 curve)	1	3- 7- 13+ 61+	-2 3- -2 7- -2 13+  2 -2
Curve Equation t Generators 116571l1 [0,1,1,166,12002] 1 [10:-122:1]
116571m (1 curve)	1	3- 7- 13+ 61+	-2 3-  3 7-  0 13+  6 -7
Curve Equation t Generators 116571m1 [0,1,1,-3544,216220] 1 [65:514:1]
116571n (1 curve)	0	3- 7- 13+ 61-	0 3-  3 7- -2 13+ -3  6
Curve Equation t 116571n1 [0,1,1,-175989,28360154] 1
116571o (1 curve)	0	3- 7- 13+ 61-	0 3-  3 7-  4 13+  0  3
Curve Equation t 116571o1 [0,1,1,-13010349,-18066996160] 1
116571p (2 curves)	0	3- 7- 13+ 61-	-1 3-  0 7- -4 13+  0  4
Curve Equation t 116571p1 [1,0,0,-134408,-18956841] 2 116571p2 [1,0,0,-98393,-29336364] 2
116571q (1 curve)	2	3- 7- 13+ 61-	-2 3- -2 7- -2 13+ -5 -6
Curve Equation t Generators 116571q1 [0,1,1,-1271174,572128736] 1 [-362:31384:1]&[-1277:10705:1]
116571r (2 curves)	0	3- 7- 13- 61+	1 3-  0 7- -4 13-  0  6
Curve Equation t 116571r1 [1,0,1,-3211,15089] 2 116571r2 [1,0,1,-39226,2982725] 2
116571s (1 curve)	0	3- 7- 13- 61+	-2 3-  3 7-  2 13-  0  3
Curve Equation t 116571s1 [0,1,1,-1964034,-1061145340] 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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