Cremona's table of elliptic curves

69966 = 2 · 3² · 13² · 23

Class	r	Atkin-Lehner	Eigenvalues
69966a (2 curves)	1	2+ 3+ 13+ 23+	2+ 3+  0  0  4 13+  2  0
Curve Equation t Generators 69966a1 [1,-1,0,-5862,-80716] 2 [-29:268:1] 69966a2 [1,-1,0,-46422,3804932] 2 [179:-1188:1]
69966b (1 curve)	1	2+ 3+ 13+ 23+	2+ 3+ -3  0  4 13+  2 -5
Curve Equation t Generators 69966b1 [1,-1,0,-636,9296] 1 [40:196:1]
69966c (1 curve)	0	2+ 3+ 13+ 23-	2+ 3+ -3  0  4 13+ -2  5
Curve Equation t 69966c1 [1,-1,0,-11946,-740492] 1
69966d (2 curves)	0	2+ 3+ 13- 23+	2+ 3+  2  0  2 13-  6 -4
Curve Equation t 69966d1 [1,-1,0,-119976,-15889600] 2 69966d2 [1,-1,0,-1917096,-1021198528] 2
69966e (2 curves)	1	2+ 3+ 13- 23-	2+ 3+  2  0  2 13- -6  4
Curve Equation t Generators 69966e1 [1,-1,0,-2252886,1295946484] 2 [465:18442:1] 69966e2 [1,-1,0,-35998806,83143300852] 2 [3537:5669:1]
69966f (2 curves)	0	2+ 3- 13+ 23+	2+ 3-  0  0 -2 13+  2  6
Curve Equation t 69966f1 [1,-1,0,-170637,-27479503] 2 69966f2 [1,-1,0,-2741127,-1746109117] 2
69966g (4 curves)	0	2+ 3- 13+ 23+	2+ 3-  0  4  0 13+  0 -2
Curve Equation t 69966g1 [1,-1,0,29628,220978044] 2 69966g2 [1,-1,0,-5309082,4619007342] 2 69966g3 [1,-1,0,-26732367,53210672685] 2 69966g4 [1,-1,0,-427728807,3404979516069] 2
69966h (1 curve)	0	2+ 3- 13+ 23+	2+ 3-  1 -4  0 13+ -3 -4
Curve Equation t 69966h1 [1,-1,0,-258497784,1663978858816] 1
69966i (2 curves)	0	2+ 3- 13+ 23+	2+ 3-  2  2 -4 13+ -2 -4
Curve Equation t 69966i1 [1,-1,0,266904,51018124] 2 69966i2 [1,-1,0,-1512666,480606322] 2
69966j (2 curves)	0	2+ 3- 13+ 23+	2+ 3- -2 -2  0 13+  6  0
Curve Equation t 69966j1 [1,-1,0,-7592103,-8052478979] 2 69966j2 [1,-1,0,-121484583,-515352363395] 2
69966k (1 curve)	0	2+ 3- 13+ 23+	2+ 3- -3 -3 -2 13+ -1 -6
Curve Equation t 69966k1 [1,-1,0,66639,-30089539] 1
69966l (2 curves)	0	2+ 3- 13+ 23+	2+ 3-  4  4  2 13+  2  2
Curve Equation t 69966l1 [1,-1,0,-15495,865853] 2 69966l2 [1,-1,0,-258855,50754653] 2
69966m (2 curves)	1	2+ 3- 13+ 23-	2+ 3-  0  2  2 13+  6  6
Curve Equation t Generators 69966m1 [1,-1,0,-46422,-25898508] 2 [26484:310731:64] 69966m2 [1,-1,0,-1628262,-795621852] 2 [20628:2946510:1]
69966n (4 curves)	1	2+ 3- 13+ 23-	2+ 3-  0 -2  0 13+  0 -2
Curve Equation t Generators 69966n1 [1,-1,0,-54027,-5041035] 2 [594:12825:1] 69966n2 [1,-1,0,-875367,-315014751] 2 [-540:297:1] 69966n3 [1,-1,0,288198,-10420812] 2 [543:-17763:1] 69966n4 [1,-1,0,-1171962,-83136780] 2 [-468:19278:1]
69966o (2 curves)	1	2+ 3- 13+ 23-	2+ 3-  0 -2  6 13+ -6 -2
Curve Equation t Generators 69966o1 [1,-1,0,-236547,44801797] 2 [114:4337:1] 69966o2 [1,-1,0,-3795687,2847268633] 2 [452:34757:1]
69966p (1 curve)	1	2+ 3- 13+ 23-	2+ 3- -1 -4 -4 13+ -2  5
Curve Equation t Generators 69966p1 [1,-1,0,495,-4991] 1 [32:-223:1]
69966q (2 curves)	1	2+ 3- 13+ 23-	2+ 3-  2  2  2 13+  4 -4
Curve Equation t Generators 69966q1 [1,-1,0,-7840026,9875035444] 2 [-3175:54062:1] 69966q2 [1,-1,0,-131223546,578599032532] 2 [6579:-587:1]
69966r (2 curves)	1	2+ 3- 13+ 23-	2+ 3- -2  2 -6 13+  0  0
Curve Equation t Generators 69966r1 [1,-1,0,-2313,-92039] 2 [140:-1591:1] 69966r2 [1,-1,0,-47943,-4025345] 2 [-129:76:1]
69966s (1 curve)	1	2+ 3- 13+ 23-	2+ 3- -3  4  0 13+ -6 -5
Curve Equation t Generators 69966s1 [1,-1,0,1314,-3272684] 1 [1196:40730:1]
69966t (2 curves)	3	2+ 3- 13- 23+	2+ 3- -4 -4 -6 13- -6 -8
Curve Equation t Generators 69966t1 [1,-1,0,-324,-896] 2 [23:47:1]&[-15:28:1]&[-13:38:1] 69966t2 [1,-1,0,-2664,52924] 2 [-19:320:1]&[-58:128:1]&[-55:203:1]
69966u (1 curve)	0	2- 3+ 13+ 23+	2- 3+  3  0 -4 13+  2  5
Curve Equation t 69966u1 [1,-1,1,-107516,20100799] 1
69966v (2 curves)	1	2- 3+ 13+ 23-	2- 3+  0  0 -4 13+ -2  0
Curve Equation t Generators 69966v1 [1,-1,1,-52760,2232091] 2 [257:2237:1] 69966v2 [1,-1,1,-417800,-102315365] 2 [1661:60685:1]
69966w (1 curve)	1	2- 3+ 13+ 23-	2- 3+  3  0 -4 13+ -2 -5
Curve Equation t Generators 69966w1 [1,-1,1,-71,-321] 1 [11:6:1]
69966x (2 curves)	1	2- 3+ 13- 23+	2- 3+ -2  0 -2 13-  6  4
Curve Equation t Generators 69966x1 [1,-1,1,-20275976,-34970279093] 2 [6169:270209:1] 69966x2 [1,-1,1,-323989256,-2244545133749] 2 [1853859:-467959397:27]
69966y (2 curves)	2	2- 3+ 13- 23-	2- 3+ -2  0 -2 13- -6 -4
Curve Equation t Generators 69966y1 [1,-1,1,-13331,592947] 2 [-81:1106:1]&[59:66:1] 69966y2 [1,-1,1,-213011,37893171] 2 [267:-142:1]&[-429:7298:1]
69966z (2 curves)	1	2- 3- 13+ 23+	2- 3-  0  2  0 13+  4  2
Curve Equation t Generators 69966z1 [1,-1,1,-1434335,-857518905] 2 [1505:19020:1] 69966z2 [1,-1,1,-24796895,-47517223737] 2 [-2859:2786:1]
69966ba (1 curve)	1	2- 3- 13+ 23+	2- 3- -1  1 -6 13+ -3  4
Curve Equation t Generators 69966ba1 [1,-1,1,6052,85683615] 1 [1557:-62971:1]
69966bb (1 curve)	1	2- 3- 13+ 23+	2- 3- -1  4  0 13+ -3  4
Curve Equation t Generators 69966bb1 [1,-1,1,-1529573,757739805] 1 [1079:18504:1]
69966bc (2 curves)	1	2- 3- 13+ 23+	2- 3- -4 -2  0 13+  0 -2
Curve Equation t Generators 69966bc1 [1,-1,1,68413,-17957325] 2 [2129:97800:1] 69966bc2 [1,-1,1,-752927,-223292325] 2 [-501:5540:1]
69966bd (4 curves)	0	2- 3- 13+ 23-	2- 3-  0 -2  6 13+  6 -2
Curve Equation t 69966bd1 [1,-1,1,109480,-307181221] 2 69966bd2 [1,-1,1,-6217880,-5804391589] 2 69966bd3 [1,-1,1,-985640,8308346843] 2 69966bd4 [1,-1,1,-67818380,212976929819] 2
69966be (1 curve)	0	2- 3- 13+ 23-	2- 3-  1  4  4 13+ -2 -5
Curve Equation t 69966be1 [1,-1,1,83623,-10714323] 1
69966bf (4 curves)	0	2- 3- 13+ 23-	2- 3-  2  0  0 13+ -2  8
Curve Equation t 69966bf1 [1,-1,1,4531,-115995] 2 69966bf2 [1,-1,1,-25889,-1077267] 4 69966bf3 [1,-1,1,-162779,24493785] 2 69966bf4 [1,-1,1,-375719,-88534767] 2
69966bg (4 curves)	0	2- 3- 13+ 23-	2- 3-  2  4  4 13+ -6  0
Curve Equation t 69966bg1 [1,-1,1,50161,25242455] 2 69966bg2 [1,-1,1,-1044959,389260343] 4 69966bg3 [1,-1,1,-3143939,-1663542097] 2 69966bg4 [1,-1,1,-16467899,25726066175] 2
69966bh (1 curve)	0	2- 3- 13+ 23-	2- 3-  3 -3  2 13+  1  4
Curve Equation t 69966bh1 [1,-1,1,-21326,1249863] 1
69966bi (1 curve)	0	2- 3- 13+ 23-	2- 3-  3 -4  0 13+ -6  5
Curve Equation t 69966bi1 [1,-1,1,222034,-7189420611] 1
69966bj (2 curves)	0	2- 3- 13- 23+	2- 3-  4  4  6 13- -6  8
Curve Equation t 69966bj1 [1,-1,1,-54788,-2132841] 2 69966bj2 [1,-1,1,-450248,114923319] 2

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