Cremona's table of elliptic curves

21714 = 2 · 3 · 7 · 11 · 47

Class	r	Atkin-Lehner	Eigenvalues
21714a (2 curves)	1	2+ 3+ 7+ 11+ 47+	2+ 3+  2 7+ 11+  2  6  2
Curve Equation t Generators 21714a1 [1,1,0,-49,1813] 2 [-6:47:1] 21714a2 [1,1,0,-2569,48685] 2 [15:110:1]
21714b (2 curves)	2	2+ 3+ 7- 11+ 47+	2+ 3+ -4 7- 11+ -6 -2  0
Curve Equation t Generators 21714b1 [1,1,0,-567,8865] 2 [-16:127:1]&[-9:120:1] 21714b2 [1,1,0,-10857,430755] 2 [-47:940:1]&[47:141:1]
21714c (4 curves)	1	2+ 3+ 7- 11- 47+	2+ 3+  2 7- 11-  2  2 -4
Curve Equation t Generators 21714c1 [1,1,0,-11424,463872] 2 [89:358:1] 21714c2 [1,1,0,-16544,0] 4 [-47:846:1] 21714c3 [1,1,0,66176,82720] 2 [305:6830:1] 21714c4 [1,1,0,-181184,-29668128] 2 [499:1868:1]
21714d (1 curve)	1	2+ 3+ 7- 11- 47+	2+ 3+  2 7- 11- -4  2 -5
Curve Equation t Generators 21714d1 [1,1,0,-1309,42493] 1 [-6:227:1]
21714e (4 curves)	1	2+ 3- 7+ 11+ 47-	2+ 3- -2 7+ 11+  6 -6 -8
Curve Equation t Generators 21714e1 [1,0,1,-232,1334] 2 [18:46:1] 21714e2 [1,0,1,-312,310] 4 [-10:54:1] 21714e3 [1,0,1,1228,2774] 4 [18:166:1] 21714e4 [1,0,1,-3132,-67370] 2 [76:329:1]
21714f (2 curves)	1	2+ 3- 7- 11+ 47+	2+ 3-  0 7- 11+  2 -2 -2
Curve Equation t Generators 21714f1 [1,0,1,-63386,6175820] 2 [45:1825:1] 21714f2 [1,0,1,-1015946,394058252] 2 [570:208:1]
21714g (1 curve)	1	2+ 3- 7- 11+ 47+	2+ 3- -3 7- 11+  4  5 -8
Curve Equation t Generators 21714g1 [1,0,1,-400,3962] 1 [31:-163:1]
21714h (1 curve)	1	2- 3+ 7+ 11- 47+	2- 3+  2 7+ 11-  4 -3  6
Curve Equation t Generators 21714h1 [1,1,1,-1222,19073] 1 [518:3461:8]
21714i (1 curve)	0	2- 3+ 7- 11+ 47-	2- 3+  2 7- 11+  0  2  7
Curve Equation t 21714i1 [1,1,1,-783609547,8555163378809] 1
21714j (1 curve)	1	2- 3+ 7- 11- 47-	2- 3+ -1 7- 11-  4 -3  0
Curve Equation t Generators 21714j1 [1,1,1,-26466,-2854545] 1 [865:-25381:1]
21714k (2 curves)	0	2- 3- 7- 11+ 47+	2- 3-  0 7- 11+  6 -2  4
Curve Equation t 21714k1 [1,0,0,-2708398,-1746527776] 2 21714k2 [1,0,0,-43549408,-110620492234] 2
21714l (1 curve)	0	2- 3- 7- 11+ 47+	2- 3-  2 7- 11+  0  2  5
Curve Equation t 21714l1 [1,0,0,-552,-6108] 1
21714m (4 curves)	0	2- 3- 7- 11+ 47+	2- 3-  2 7- 11+  6  2 -4
Curve Equation t 21714m1 [1,0,0,-616548352,5892900651008] 4 21714m2 [1,0,0,-9864988672,377130844160000] 4 21714m3 [1,0,0,-9865203712,377113580361728] 2 21714m4 [1,0,0,-157839818752,24136413486295040] 2
21714n (4 curves)	0	2- 3- 7- 11+ 47+	2- 3-  2 7- 11+ -6  2 -4
Curve Equation t 21714n1 [1,0,0,-750497,-254265015] 2 21714n2 [1,0,0,-12060577,-16122307255] 4 21714n3 [1,0,0,-12113217,-15974483607] 2 21714n4 [1,0,0,-192969217,-1031779593943] 2
21714o (2 curves)	0	2- 3- 7- 11+ 47+	2- 3- -3 7- 11+ -4 -3 -4
Curve Equation t 21714o1 [1,0,0,-139272,-23498496] 3 21714o2 [1,0,0,-11817852,-15638074884] 1
21714p (2 curves)	1	2- 3- 7- 11- 47+	2- 3-  0 7- 11- -2 -2 -4
Curve Equation t Generators 21714p1 [1,0,0,10752,0] 2 [48:768:1] 21714p2 [1,0,0,-43008,-10752] 2 [272:2768:1]
21714q (4 curves)	0	2- 3- 7- 11- 47-	2- 3-  2 7- 11-  2  2  0
Curve Equation t 21714q1 [1,0,0,-2037,35217] 2 21714q2 [1,0,0,-2057,34485] 4 21714q3 [1,0,0,913,126555] 2 21714q4 [1,0,0,-5347,-104353] 2

Data from Elliptic Curve Data by J. E. Cremona.
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