Cremona's table of elliptic curves

67728 = 2⁴ · 3 · 17 · 83

Class	r	Atkin-Lehner	Eigenvalues
67728a (1 curve)	1	2+ 3+ 17+ 83+	2+ 3+  3 -2  6 -1 17+ -4
Curve Equation t Generators 67728a1 [0,-1,0,-55944,3812496] 1 [200:764:1]
67728b (2 curves)	1	2+ 3+ 17+ 83+	2+ 3+  4  4  0  2 17+ -4
Curve Equation t Generators 67728b1 [0,-1,0,-1193831,-501709362] 2 [78922705717172774531912311654000187288003534689482512373339784831108127052316130:2842525913348115795710476565659618803194262900564055357208058463438695352244972124:39178123659816054709373067499452486769945828932433525164474272722962697831375] 67728b2 [0,-1,0,-19101716,-32127034272] 2 [42037399885570131365803977780077808180968:3028457365237268990167824807688256833021320:5217602616072948750405647105124331759]
67728c (1 curve)	0	2+ 3+ 17+ 83-	2+ 3+  1  0 -3  1 17+  5
Curve Equation t 67728c1 [0,-1,0,615,10629] 1
67728d (1 curve)	1	2+ 3+ 17- 83-	2+ 3+  1  0  4  5 17- -8
Curve Equation t Generators 67728d1 [0,-1,0,-120,528] 1 [8:4:1]
67728e (2 curves)	0	2+ 3- 17+ 83+	2+ 3-  0  4  0 -6 17+  4
Curve Equation t 67728e1 [0,1,0,-23,264] 2 67728e2 [0,1,0,-788,8220] 2
67728f (2 curves)	0	2+ 3- 17+ 83+	2+ 3- -4 -2  0  2 17+ -4
Curve Equation t 67728f1 [0,1,0,-27085120,-54264506236] 2 67728f2 [0,1,0,-26809560,-55422409356] 2
67728g (2 curves)	1	2+ 3- 17+ 83-	2+ 3-  0  0  0  2 17+  8
Curve Equation t Generators 67728g1 [0,1,0,-348,684] 2 [18:24:1] 67728g2 [0,1,0,1312,6660] 2 [22:216:1]
67728h (1 curve)	1	2+ 3- 17- 83+	2+ 3-  3 -4 -5  5 17- -7
Curve Equation t Generators 67728h1 [0,1,0,-7264169,7533357603] 1 [1366:12699:1]
67728i (1 curve)	0	2+ 3- 17- 83-	2+ 3- -1  2  4 -2 17-  8
Curve Equation t 67728i1 [0,1,0,-554001,-402340437] 1
67728j (1 curve)	0	2+ 3- 17- 83-	2+ 3-  2 -1 -1 -5 17- -4
Curve Equation t 67728j1 [0,1,0,-72,-300] 1
67728k (2 curves)	0	2+ 3- 17- 83-	2+ 3-  2  2  4 -2 17-  8
Curve Equation t 67728k1 [0,1,0,-272,612] 2 67728k2 [0,1,0,-3592,81620] 2
67728l (2 curves)	2	2- 3+ 17+ 83+	2- 3+  0 -2  4  0 17+ -8
Curve Equation t Generators 67728l1 [0,-1,0,-1368,-18960] 2 [-22:2:1]&[16676:265789:64] 67728l2 [0,-1,0,-728,-37392] 2 [92:-816:1]&[284:4752:1]
67728m (1 curve)	2	2- 3+ 17+ 83+	2- 3+ -3 -2 -2 -3 17+  4
Curve Equation t Generators 67728m1 [0,-1,0,-5072,140736] 1 [-75:306:1]&[40:-16:1]
67728n (2 curves)	0	2- 3+ 17+ 83+	2- 3+ -3  4  0 -1 17+ -8
Curve Equation t 67728n1 [0,-1,0,-5592,79344] 1 67728n2 [0,-1,0,-384072,91743216] 1
67728o (2 curves)	1	2- 3+ 17+ 83-	2- 3+  0  2  4  4 17+  4
Curve Equation t Generators 67728o1 [0,-1,0,-9968,-224832] 2 [18623164:538237237:21952] 67728o2 [0,-1,0,30992,-1633856] 2 [3381:196826:1]
67728p (2 curves)	1	2- 3+ 17+ 83-	2- 3+ -2  0  0  2 17+ -2
Curve Equation t Generators 67728p1 [0,-1,0,11,-92] 2 [52:372:1] 67728p2 [0,-1,0,-244,-1316] 2 [3396:23281:64]
67728q (2 curves)	1	2- 3+ 17+ 83-	2- 3+ -2  0  0 -4 17+ -8
Curve Equation t Generators 67728q1 [0,-1,0,-1932024,1034166384] 2 [794:274:1] 67728q2 [0,-1,0,-1768184,1216618608] 2 [-1508:21248:1]
67728r (1 curve)	1	2- 3+ 17+ 83-	2- 3+ -3  2  5 -4 17+  5
Curve Equation t Generators 67728r1 [0,-1,0,-3552,-104256] 1 [133:1326:1]
67728s (1 curve)	0	2- 3+ 17- 83-	2- 3+  3  2 -3 -4 17-  3
Curve Equation t 67728s1 [0,-1,0,-25144,1668976] 1
67728t (1 curve)	0	2- 3+ 17- 83-	2- 3+ -3 -4  0  5 17-  0
Curve Equation t 67728t1 [0,-1,0,-68786472,-219562064784] 1
67728u (1 curve)	1	2- 3- 17+ 83+	2- 3- -1  2  3  0 17+  5
Curve Equation t Generators 67728u1 [0,1,0,-18136,-985324] 1 [2065965:49792796:3375]
67728v (1 curve)	0	2- 3- 17+ 83-	2- 3-  1  2  2  1 17+ -4
Curve Equation t 67728v1 [0,1,0,-10520,395412] 1
67728w (1 curve)	2	2- 3- 17+ 83-	2- 3- -1  2 -6 -5 17+ -4
Curve Equation t Generators 67728w1 [0,1,0,-416,1908] 1 [-17:66:1]&[-14:72:1]
67728x (1 curve)	2	2- 3- 17+ 83-	2- 3- -1 -4 -3 -2 17+ -1
Curve Equation t Generators 67728x1 [0,1,0,-80756,-39439704] 1 [20810:-1054017:8]&[723:16752:1]
67728y (1 curve)	0	2- 3- 17- 83+	2- 3- -1  4  4 -1 17-  0
Curve Equation t 67728y1 [0,1,0,-1691976,-44119692] 1
67728z (4 curves)	0	2- 3- 17- 83+	2- 3-  2  4  4  2 17-  0
Curve Equation t 67728z1 [0,1,0,-1432,20372] 2 67728z2 [0,1,0,-1752,10260] 4 67728z3 [0,1,0,6408,85332] 2 67728z4 [0,1,0,-15032,-706860] 2
67728ba (1 curve)	1	2- 3- 17- 83-	2- 3-  1  4 -3  2 17- -7
Curve Equation t Generators 67728ba1 [0,1,0,-340,2312] 1 [7:18:1]
67728bb (1 curve)	1	2- 3- 17- 83-	2- 3- -2 -3  3  5 17-  4
Curve Equation t Generators 67728bb1 [0,1,0,2856,-1466604] 1 [150:1536:1]
67728bc (1 curve)	1	2- 3- 17- 83-	2- 3- -3 -2 -4  6 17- -4
Curve Equation t Generators 67728bc1 [0,1,0,-5237,144159] 1 [43:-18:1]
67728bd (1 curve)	1	2- 3- 17- 83-	2- 3- -3  4  5 -6 17-  5
Curve Equation t Generators 67728bd1 [0,1,0,2561635548,-65687076610776] 1 [43953525:9863663058:1331]

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