Cremona's table of elliptic curves

81168 = 2⁴ · 3 · 19 · 89

Class	r	Atkin-Lehner	Eigenvalues
81168a (1 curve)	1	2+ 3+ 19+ 89+	2+ 3+  1 -2  3  5 -3 19+
Curve Equation t Generators 81168a1 [0,-1,0,220,102768] 1 [8:324:1]
81168b (2 curves)	2	2+ 3+ 19+ 89-	2+ 3+  0  2 -4 -2 -2 19+
Curve Equation t Generators 81168b1 [0,-1,0,-1688,27264] 2 [-26:230:1]&[16:64:1] 81168b2 [0,-1,0,-1648,28576] 2 [-28:228:1]&[10:114:1]
81168c (1 curve)	0	2+ 3+ 19+ 89-	2+ 3+  0 -4  4 -1 -6 19+
Curve Equation t 81168c1 [0,-1,0,-48488,4116939] 1
81168d (1 curve)	0	2+ 3+ 19+ 89-	2+ 3+  0  5  5  7 -2 19+
Curve Equation t 81168d1 [0,-1,0,-10768,-426512] 1
81168e (1 curve)	0	2+ 3+ 19+ 89-	2+ 3+ -1  1  3 -2 -7 19+
Curve Equation t 81168e1 [0,-1,0,12519,-4105323] 1
81168f (1 curve)	0	2+ 3+ 19+ 89-	2+ 3+ -1  4  3  1 -7 19+
Curve Equation t 81168f1 [0,-1,0,-27856,-1983536] 1
81168g (1 curve)	0	2+ 3+ 19+ 89-	2+ 3+ -1  4  3 -5 -1 19+
Curve Equation t 81168g1 [0,-1,0,-111,4122] 1
81168h (1 curve)	0	2+ 3+ 19+ 89-	2+ 3+ -3  2  5 -5  1 19+
Curve Equation t 81168h1 [0,-1,0,949333,-9518214] 1
81168i (1 curve)	0	2+ 3+ 19+ 89-	2+ 3+ -4 -2  6  1 -4 19+
Curve Equation t 81168i1 [0,-1,0,-400,-2849] 1
81168j (1 curve)	0	2+ 3+ 19- 89+	2+ 3+ -1  4  1 -7  7 19-
Curve Equation t 81168j1 [0,-1,0,269,-998] 1
81168k (1 curve)	2	2+ 3+ 19- 89+	2+ 3+ -1 -4 -1 -1  1 19-
Curve Equation t Generators 81168k1 [0,-1,0,24,-576] 1 [8:8:1]&[12:36:1]
81168l (1 curve)	0	2+ 3+ 19- 89+	2+ 3+  2 -2  4 -1  4 19-
Curve Equation t 81168l1 [0,-1,0,-3092,-65157] 1
81168m (1 curve)	2	2+ 3+ 19- 89+	2+ 3+  2 -4  2 -7 -2 19-
Curve Equation t Generators 81168m1 [0,-1,0,-4112,39627] 1 [-17:323:1]&[1503:58197:1]
81168n (1 curve)	0	2+ 3+ 19- 89+	2+ 3+ -3 -2  1 -7 -7 19-
Curve Equation t 81168n1 [0,-1,0,-10547,-416634] 1
81168o (1 curve)	2	2+ 3+ 19- 89+	2+ 3+ -3 -2 -1  3 -5 19-
Curve Equation t Generators 81168o1 [0,-1,0,-552,5184] 1 [12:12:1]&[-10:98:1]
81168p (1 curve)	0	2+ 3+ 19- 89+	2+ 3+ -4  3  3  5  2 19-
Curve Equation t 81168p1 [0,-1,0,82040,5442016] 1
81168q (1 curve)	1	2+ 3+ 19- 89-	2+ 3+  1  2 -5 -1  5 19-
Curve Equation t Generators 81168q1 [0,-1,0,-29580,1968048] 1 [104:76:1]
81168r (1 curve)	1	2+ 3+ 19- 89-	2+ 3+ -1  0  3 -1 -1 19-
Curve Equation t Generators 81168r1 [0,-1,0,-8996,-334128] 1 [944:28836:1]
81168s (1 curve)	1	2+ 3+ 19- 89-	2+ 3+ -2  2  4 -1  0 19-
Curve Equation t Generators 81168s1 [0,-1,0,-1064,-13005] 1 [1029:503:27]
81168t (4 curves)	0	2+ 3- 19+ 89+	2+ 3- -2  0  4  2 -6 19+
Curve Equation t 81168t1 [0,1,0,321,5436] 2 81168t2 [0,1,0,-3324,63756] 4 81168t3 [0,1,0,-13584,-547740] 2 81168t4 [0,1,0,-51384,4466052] 2
81168u (1 curve)	0	2+ 3- 19+ 89+	2+ 3-  3  4 -5  1  3 19+
Curve Equation t 81168u1 [0,1,0,36,-36] 1
81168v (1 curve)	2	2+ 3- 19+ 89+	2+ 3- -3 -2  3  1 -7 19+
Curve Equation t Generators 81168v1 [0,1,0,-92,2556] 1 [-14:36:1]&[-5:54:1]
81168w (1 curve)	1	2+ 3- 19+ 89-	2+ 3-  1  2  1 -1 -3 19+
Curve Equation t Generators 81168w1 [0,1,0,-475,-7648] 1 [346:1869:8]
81168x (1 curve)	1	2+ 3- 19+ 89-	2+ 3- -2  0  2 -5  2 19+
Curve Equation t Generators 81168x1 [0,1,0,-14084,144447] 1 [133:801:1]
81168y (1 curve)	1	2+ 3- 19+ 89-	2+ 3-  3  0  1 -1  3 19+
Curve Equation t Generators 81168y1 [0,1,0,-299,1944] 1 [-20:18:1]
81168z (1 curve)	1	2+ 3- 19- 89+	2+ 3-  1  2  1  1 -3 19-
Curve Equation t Generators 81168z1 [0,1,0,-35,96] 1 [4:6:1]
81168ba (2 curves)	0	2+ 3- 19- 89-	2+ 3-  0  2  0  6  6 19-
Curve Equation t 81168ba1 [0,1,0,-136968,-19556604] 2 81168ba2 [0,1,0,-136928,-19568556] 2
81168bb (1 curve)	0	2+ 3- 19- 89-	2+ 3-  0  2 -2 -1  0 19-
Curve Equation t 81168bb1 [0,1,0,-28,47] 1
81168bc (2 curves)	0	2+ 3- 19- 89-	2+ 3- -2  2 -4  0 -2 19-
Curve Equation t 81168bc1 [0,1,0,-34795704,-79013321244] 2 81168bc2 [0,1,0,-34795664,-79013511948] 2
81168bd (1 curve)	0	2+ 3- 19- 89-	2+ 3-  3  2  1  5  3 19-
Curve Equation t 81168bd1 [0,1,0,21161,756488] 1
81168be (1 curve)	0	2+ 3- 19- 89-	2+ 3-  3  2 -3 -3  3 19-
Curve Equation t 81168be1 [0,1,0,1,24] 1
81168bf (1 curve)	0	2+ 3- 19- 89-	2+ 3-  4 -1 -1  3 -2 19-
Curve Equation t 81168bf1 [0,1,0,-256,-1948] 1
81168bg (1 curve)	2	2- 3+ 19+ 89+	2- 3+ -1  0 -3 -7  3 19+
Curve Equation t Generators 81168bg1 [0,-1,0,-56,432] 1 [-4:24:1]&[2:18:1]
81168bh (1 curve)	0	2- 3+ 19+ 89+	2- 3+ -1  2  5 -5 -5 19+
Curve Equation t 81168bh1 [0,-1,0,-6621,-261468] 1
81168bi (1 curve)	0	2- 3+ 19+ 89+	2- 3+ -1  4 -3 -3  3 19+
Curve Equation t 81168bi1 [0,-1,0,-202656,-36762048] 1
81168bj (1 curve)	0	2- 3+ 19+ 89+	2- 3+  2  4  0 -6  0 19+
Curve Equation t 81168bj1 [0,-1,0,-997,12493] 1
81168bk (2 curves)	0	2- 3+ 19+ 89+	2- 3+  3  4 -3  5  3 19+
Curve Equation t 81168bk1 [0,-1,0,5456,152512] 1 81168bk2 [0,-1,0,-144304,21303232] 1
81168bl (1 curve)	0	2- 3+ 19+ 89+	2- 3+ -4  2  2 -5  4 19+
Curve Equation t 81168bl1 [0,-1,0,-550,3871] 1
81168bm (2 curves)	1	2- 3+ 19+ 89-	2- 3+  0  1  3 -7  6 19+
Curve Equation t Generators 81168bm1 [0,-1,0,95264152,-469249141392] 1 [178479513957208188662:35144985229096890878330:4887295060391927] 81168bm2 [0,-1,0,-916879448,18499580094960] 1 [45363241549770283020649222048717373748181333532045306857270:7699650357956513548640635460374956757640277261319688482566010:1129259771238433431184173244347921173558329605464625451]
81168bn (1 curve)	1	2- 3+ 19+ 89-	2- 3+  0  2 -2 -2  4 19+
Curve Equation t Generators 81168bn1 [0,-1,0,-3493,-88199] 1 [3437:201438:1]
81168bo (1 curve)	1	2- 3+ 19+ 89-	2- 3+  0  2 -2  3  4 19+
Curve Equation t Generators 81168bo1 [0,-1,0,-377478,89391843] 1 [2506:10693:8]
81168bp (2 curves)	1	2- 3+ 19+ 89-	2- 3+  0  2  4  6 -2 19+
Curve Equation t Generators 81168bp1 [0,-1,0,-126048,-16701696] 2 [8552783503721360:-149218571840956781:14872416882688] 81168bp2 [0,-1,0,37792,-57202944] 2 [7416813800:164919420063:12487168]
81168bq (2 curves)	1	2- 3+ 19+ 89-	2- 3+  0 -4 -2 -2  6 19+
Curve Equation t Generators 81168bq1 [0,-1,0,-968,-10512] 2 [-14:10:1] 81168bq2 [0,-1,0,-15208,-716816] 2 [1354:49590:1]
81168br (1 curve)	1	2- 3+ 19+ 89-	2- 3+  1  4 -3  5  1 19+
Curve Equation t Generators 81168br1 [0,-1,0,-185,-912] 1 [4780:26946:125]
81168bs (1 curve)	1	2- 3+ 19+ 89-	2- 3+ -1 -2  3 -7  3 19+
Curve Equation t Generators 81168bs1 [0,-1,0,52464,6358464] 1 [-40:2048:1]
81168bt (4 curves)	1	2- 3+ 19+ 89-	2- 3+  2  4  0  2 -6 19+
Curve Equation t Generators 81168bt1 [0,-1,0,-1712,-26688] 2 [-310732040:-23926784:12977875] 81168bt2 [0,-1,0,-2032,-15680] 4 [4410:292810:1] 81168bt3 [0,-1,0,7088,-125120] 2 [806190:-5154302:42875] 81168bt4 [0,-1,0,-16272,793152] 2 [-144:360:1]
81168bu (1 curve)	1	2- 3+ 19+ 89-	2- 3+  3  2 -5  1  7 19+
Curve Equation t Generators 81168bu1 [0,-1,0,-1464,22896] 1 [60:384:1]
81168bv (1 curve)	1	2- 3+ 19+ 89-	2- 3+  3  2 -5 -3 -5 19+
Curve Equation t Generators 81168bv1 [0,-1,0,11,16] 1 [0:4:1]
81168bw (1 curve)	1	2- 3+ 19+ 89-	2- 3+ -3 -4  1  1 -3 19+
Curve Equation t Generators 81168bw1 [0,-1,0,1823,228856] 1 [4:486:1]
81168bx (1 curve)	1	2- 3+ 19- 89+	2- 3+  0  3 -3 -5  2 19-
Curve Equation t Generators 81168bx1 [0,-1,0,-1408,-757760] 1 [674466:11552234:2197]
81168by (2 curves)	1	2- 3+ 19- 89+	2- 3+  1  2  3 -1  3 19-
Curve Equation t Generators 81168by1 [0,-1,0,-752400,-250952256] 1 [1476819576:41386111488:1030301] 81168by2 [0,-1,0,2769840,-1254447936] 1 [1896:103968:1]
81168bz (1 curve)	1	2- 3+ 19- 89+	2- 3+ -2 -4  6 -1 -6 19-
Curve Equation t Generators 81168bz1 [0,-1,0,-9554,362643] 1 [57:3:1]
81168ca (1 curve)	1	2- 3+ 19- 89+	2- 3+ -2  5  3  5  6 19-
Curve Equation t Generators 81168ca1 [0,-1,0,96,768] 1 [26:142:1]
81168cb (1 curve)	1	2- 3+ 19- 89+	2- 3+  3  0  3 -5 -7 19-
Curve Equation t Generators 81168cb1 [0,-1,0,-102704,12702912] 1 [184:32:1]
81168cc (1 curve)	1	2- 3+ 19- 89+	2- 3+ -3  2  3 -5 -5 19-
Curve Equation t Generators 81168cc1 [0,-1,0,-312,-7056] 1 [60:-432:1]
81168cd (1 curve)	0	2- 3+ 19- 89-	2- 3+ -3  4  3  1 -7 19-
Curve Equation t 81168cd1 [0,-1,0,-97,-344] 1
81168ce (2 curves)	1	2- 3- 19+ 89+	2- 3-  2  0 -2  0 -6 19+
Curve Equation t Generators 81168ce1 [0,1,0,-11952,-454572] 2 [-78:96:1] 81168ce2 [0,1,0,16528,-2265900] 2 [100:630:1]
81168cf (1 curve)	1	2- 3- 19+ 89+	2- 3-  2 -2  0  3  0 19+
Curve Equation t Generators 81168cf1 [0,1,0,-62,123] 1 [7:9:1]
81168cg (1 curve)	1	2- 3- 19+ 89+	2- 3-  2  4  0 -6  0 19+
Curve Equation t Generators 81168cg1 [0,1,0,-58237,5711687] 1 [-2787:88046:27]
81168ch (1 curve)	1	2- 3- 19+ 89+	2- 3- -2 -1  1 -3 -2 19+
Curve Equation t Generators 81168ch1 [0,1,0,-366144,-86156748] 1 [1188:34014:1]
81168ci (1 curve)	0	2- 3- 19+ 89-	2- 3-  1  2 -5 -3  7 19+
Curve Equation t 81168ci1 [0,1,0,440,-57484] 1
81168cj (1 curve)	0	2- 3- 19- 89+	2- 3-  0  4  0 -5 -2 19-
Curve Equation t 81168cj1 [0,1,0,-18,-33] 1
81168ck (1 curve)	2	2- 3- 19- 89+	2- 3- -1 -2 -1 -1  3 19-
Curve Equation t Generators 81168ck1 [0,1,0,-10496,415476] 1 [58:-72:1]&[-62:912:1]
81168cl (1 curve)	0	2- 3- 19- 89+	2- 3-  3  2 -1 -1 -1 19-
Curve Equation t 81168cl1 [0,1,0,1976,-76] 1
81168cm (1 curve)	0	2- 3- 19- 89+	2- 3-  3  4  3 -5  1 19-
Curve Equation t 81168cm1 [0,1,0,-26904,2877588] 1
81168cn (2 curves)	1	2- 3- 19- 89-	2- 3-  0  0 -6  6 -2 19-
Curve Equation t Generators 81168cn1 [0,1,0,-15208,-723916] 2 [-367540:131334:4913] 81168cn2 [0,1,0,-243048,-46200780] 2 [-7764048810996:-22285976678:27243729729]
81168co (1 curve)	1	2- 3- 19- 89-	2- 3-  1  1 -5  2  3 19-
Curve Equation t Generators 81168co1 [0,1,0,-2474997445,-47394869839309] 1 [511402:59663553:8]
81168cp (1 curve)	1	2- 3- 19- 89-	2- 3- -1 -2 -3  1 -5 19-
Curve Equation t Generators 81168cp1 [0,1,0,-459781,119845046] 1 [3130:-27:8]
81168cq (2 curves)	1	2- 3- 19- 89-	2- 3-  2  0  6 -4  2 19-
Curve Equation t Generators 81168cq1 [0,1,0,-59832,5593428] 2 [132:114:1] 81168cq2 [0,1,0,-31352,10959060] 2 [-212:2850:1]
81168cr (1 curve)	1	2- 3- 19- 89-	2- 3- -2  1 -5 -1 -6 19-
Curve Equation t Generators 81168cr1 [0,1,0,8536,-144780] 1 [28:342:1]
81168cs (1 curve)	1	2- 3- 19- 89-	2- 3-  3 -4  5 -1 -1 19-
Curve Equation t Generators 81168cs1 [0,1,0,-97767064,372047967188] 1 [5806:12816:1]
81168ct (1 curve)	1	2- 3- 19- 89-	2- 3- -3  0  3 -3  1 19-
Curve Equation t Generators 81168ct1 [0,1,0,223,564246] 1 [82:1068:1]
81168cu (2 curves)	1	2- 3- 19- 89-	2- 3- -4 -2  0 -2 -2 19-
Curve Equation t Generators 81168cu1 [0,1,0,-1520,21204] 2 [27:24:1] 81168cu2 [0,1,0,1040,87764] 2 [20:342:1]

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