Cremona's table of elliptic curves

68112 = 2⁴ · 3² · 11 · 43

Class	r	Atkin-Lehner	Eigenvalues
68112a (1 curve)	0	2+ 3+ 11+ 43-	2+ 3+ -1  1 11+ -6 -3  4
Curve Equation t 68112a1 [0,0,0,-32778,-8895609] 1
68112b (1 curve)	1	2+ 3+ 11- 43-	2+ 3+  1  1 11- -6  3  4
Curve Equation t Generators 68112b1 [0,0,0,-3642,329467] 1 [226:3993:8]
68112c (2 curves)	2	2+ 3- 11+ 43+	2+ 3-  0  0 11+ -4 -6 -4
Curve Equation t Generators 68112c1 [0,0,0,-1395,20034] 2 [-29:190:1]&[3:126:1] 68112c2 [0,0,0,-1035,30618] 2 [-39:108:1]&[-9:198:1]
68112d (1 curve)	2	2+ 3- 11+ 43+	2+ 3- -3 -1 11+  0 -1 -8
Curve Equation t Generators 68112d1 [0,0,0,-399,3166] 1 [5:-36:1]&[-15:76:1]
68112e (1 curve)	0	2+ 3- 11+ 43+	2+ 3- -3  3 11+  4 -7  0
Curve Equation t 68112e1 [0,0,0,186,1919] 1
68112f (1 curve)	1	2+ 3- 11+ 43-	2+ 3-  0  0 11+  2 -2  2
Curve Equation t Generators 68112f1 [0,0,0,-75,938] 1 [11:38:1]
68112g (1 curve)	1	2+ 3- 11+ 43-	2+ 3- -1  1 11+  4  5  8
Curve Equation t Generators 68112g1 [0,0,0,-203718,49546159] 1 [14129774:467136639:97336]
68112h (1 curve)	1	2+ 3- 11+ 43-	2+ 3-  2 -1 11+  4 -4  1
Curve Equation t Generators 68112h1 [0,0,0,-399,317] 1 [-4:43:1]
68112i (1 curve)	1	2+ 3- 11+ 43-	2+ 3- -2  1 11+ -6  6  7
Curve Equation t Generators 68112i1 [0,0,0,-291,-1451] 1 [20:27:1]
68112j (1 curve)	1	2+ 3- 11+ 43-	2+ 3-  3 -1 11+ -4  7 -4
Curve Equation t Generators 68112j1 [0,0,0,-291,-14222] 1 [77:648:1]
68112k (2 curves)	1	2+ 3- 11+ 43-	2+ 3- -4  4 11+  4  2 -4
Curve Equation t Generators 68112k1 [0,0,0,-12747,553930] 2 [57:112:1] 68112k2 [0,0,0,-12387,586690] 2 [-1:774:1]
68112l (1 curve)	1	2+ 3- 11- 43+	2+ 3-  0 -1 11-  4  2  1
Curve Equation t Generators 68112l1 [0,0,0,-3675,75301] 1 [20:99:1]
68112m (1 curve)	1	2+ 3- 11- 43+	2+ 3-  0  3 11-  0  2 -3
Curve Equation t Generators 68112m1 [0,0,0,-63255,2380421] 1 [-2360260:32988213:12167]
68112n (1 curve)	1	2+ 3- 11- 43+	2+ 3-  0 -3 11- -2  2  3
Curve Equation t Generators 68112n1 [0,0,0,-1335,15077] 1 [4:99:1]
68112o (1 curve)	1	2+ 3- 11- 43+	2+ 3-  3  3 11-  0  5  0
Curve Equation t Generators 68112o1 [0,0,0,4209,264062] 1 [-7:484:1]
68112p (1 curve)	0	2+ 3- 11- 43-	2+ 3-  0 -1 11-  6 -6  1
Curve Equation t 68112p1 [0,0,0,-5835,171313] 1
68112q (1 curve)	0	2+ 3- 11- 43-	2+ 3-  0  3 11-  2 -4  5
Curve Equation t 68112q1 [0,0,0,-75,-223] 1
68112r (1 curve)	0	2+ 3- 11- 43-	2+ 3-  1  1 11-  0  3 -8
Curve Equation t 68112r1 [0,0,0,-2622,51707] 1
68112s (1 curve)	0	2+ 3- 11- 43-	2+ 3-  1 -1 11-  4  1  4
Curve Equation t 68112s1 [0,0,0,-2605827,1619076818] 1
68112t (1 curve)	2	2+ 3- 11- 43-	2+ 3-  1 -3 11- -4 -3  0
Curve Equation t Generators 68112t1 [0,0,0,393,908998] 1 [29:972:1]&[113:1548:1]
68112u (1 curve)	0	2+ 3- 11- 43-	2+ 3-  1  4 11- -6  6  4
Curve Equation t 68112u1 [0,0,0,1788,-14708] 1
68112v (4 curves)	0	2+ 3- 11- 43-	2+ 3-  2  0 11- -2  6 -4
Curve Equation t 68112v1 [0,0,0,-234,4347] 2 68112v2 [0,0,0,-5679,164430] 4 68112v3 [0,0,0,-7659,39690] 2 68112v4 [0,0,0,-90819,10534482] 2
68112w (4 curves)	0	2+ 3- 11- 43-	2+ 3-  2  4 11- -2 -2  4
Curve Equation t 68112w1 [0,0,0,-46839,3901750] 2 68112w2 [0,0,0,-47019,3870250] 4 68112w3 [0,0,0,-3459,10761442] 2 68112w4 [0,0,0,-93459,-5036942] 2
68112x (1 curve)	2	2+ 3- 11- 43-	2+ 3- -3 -5 11-  0 -7  4
Curve Equation t Generators 68112x1 [0,0,0,-147819,92251946] 1 [163:8514:1]&[-431:8712:1]
68112y (1 curve)	0	2+ 3- 11- 43-	2+ 3-  4  1 11-  0  6  7
Curve Equation t 68112y1 [0,0,0,-25743,1589425] 1
68112z (1 curve)	0	2+ 3- 11- 43-	2+ 3- -4  3 11- -2 -6  5
Curve Equation t 68112z1 [0,0,0,-3447,-77895] 1
68112ba (1 curve)	2	2- 3+ 11+ 43+	2- 3+  1 -3 11+ -4 -5 -4
Curve Equation t Generators 68112ba1 [0,0,0,-12,27] 1 [-3:6:1]&[1:4:1]
68112bb (2 curves)	0	2- 3+ 11+ 43+	2- 3+ -3  1 11+ -4 -3  4
Curve Equation t 68112bb1 [0,0,0,-564,-5161] 1 68112bb2 [0,0,0,756,-23949] 1
68112bc (1 curve)	0	2- 3+ 11+ 43+	2- 3+ -3  3 11+ -2  7  4
Curve Equation t 68112bc1 [0,0,0,-5619,-162126] 1
68112bd (1 curve)	2	2- 3+ 11+ 43+	2- 3+ -3 -5 11+ -6  3 -4
Curve Equation t Generators 68112bd1 [0,0,0,21,346] 1 [5:-24:1]&[-3:16:1]
68112be (1 curve)	1	2- 3+ 11+ 43-	2- 3+ -1 -3 11+ -2  3 -4
Curve Equation t Generators 68112be1 [0,0,0,-203283,-194321646] 1 [897:18576:1]
68112bf (1 curve)	1	2- 3+ 11- 43+	2- 3+ -1 -3 11- -4  5 -4
Curve Equation t Generators 68112bf1 [0,0,0,-108,-729] 1 [13:8:1]
68112bg (2 curves)	1	2- 3+ 11- 43+	2- 3+  3  1 11- -4  3  4
Curve Equation t Generators 68112bg1 [0,0,0,84,887] 1 [-46:117:8] 68112bg2 [0,0,0,-5076,139347] 1 [354:297:8]
68112bh (1 curve)	1	2- 3+ 11- 43+	2- 3+  3  3 11- -2 -7  4
Curve Equation t Generators 68112bh1 [0,0,0,-50571,4377402] 1 [133:64:1]
68112bi (1 curve)	1	2- 3+ 11- 43+	2- 3+  3 -5 11- -6 -3 -4
Curve Equation t Generators 68112bi1 [0,0,0,189,-9342] 1 [57:432:1]
68112bj (1 curve)	2	2- 3+ 11- 43-	2- 3+  1 -3 11- -2 -3 -4
Curve Equation t Generators 68112bj1 [0,0,0,-22587,7197098] 1 [-227:792:1]&[-41:2838:1]
68112bk (2 curves)	1	2- 3- 11+ 43+	2- 3-  0  1 11+  2  0 -5
Curve Equation t Generators 68112bk1 [0,0,0,-1785,29027] 1 [194:9:8] 68112bk2 [0,0,0,-2685,-3229] 1 [-190:1737:8]
68112bl (1 curve)	1	2- 3- 11+ 43+	2- 3-  0 -3 11+ -2 -2  7
Curve Equation t Generators 68112bl1 [0,0,0,-45,27] 1 [-6:9:1]
68112bm (2 curves)	1	2- 3- 11+ 43+	2- 3-  0 -5 11+ -4 -6  1
Curve Equation t Generators 68112bm1 [0,0,0,-4258065,3381907763] 1 [1042:8739:1] 68112bm2 [0,0,0,-6696165,-912659101] 1 [-258666230:16427982933:226981]
68112bn (4 curves)	1	2- 3- 11+ 43+	2- 3- -2  0 11+  2 -2 -4
Curve Equation t Generators 68112bn1 [0,0,0,-1611,-23814] 2 [54:216:1] 68112bn2 [0,0,0,-4491,85050] 4 [-27:432:1] 68112bn3 [0,0,0,11349,550746] 2 [39:1026:1] 68112bn4 [0,0,0,-66411,6586650] 2 [231:1890:1]
68112bo (2 curves)	1	2- 3- 11+ 43+	2- 3- -3  1 11+  2  3  4
Curve Equation t Generators 68112bo1 [0,0,0,1176,-3229] 1 [89:898:1] 68112bo2 [0,0,0,-18264,-989809] 1 [61089101:46939358:389017]
68112bp (2 curves)	1	2- 3- 11+ 43+	2- 3- -3  1 11+ -4  3  4
Curve Equation t Generators 68112bp1 [0,0,0,-28101819,57355950314] 1 [2477:54272:1] 68112bp2 [0,0,0,16201941,215280464474] 1 [28759510375:6475988598784:571787]
68112bq (1 curve)	0	2- 3- 11+ 43-	2- 3-  0  1 11+  0  2 -5
Curve Equation t 68112bq1 [0,0,0,-20505,1102799] 1
68112br (2 curves)	0	2- 3- 11+ 43-	2- 3-  0  4 11+  0  2  4
Curve Equation t 68112br1 [0,0,0,-11235,-424222] 2 68112br2 [0,0,0,11805,-1940254] 2
68112bs (1 curve)	0	2- 3- 11+ 43-	2- 3-  1  0 11+ -2 -6  8
Curve Equation t 68112bs1 [0,0,0,-144912,21233072] 1
68112bt (1 curve)	0	2- 3- 11+ 43-	2- 3- -1  3 11+ -2 -3  4
Curve Equation t 68112bt1 [0,0,0,-48,-601] 1
68112bu (6 curves)	0	2- 3- 11+ 43-	2- 3-  2  0 11+ -2  6  4
Curve Equation t 68112bu1 [0,0,0,-1046739,412008338] 2 68112bu2 [0,0,0,-1231059,256921490] 4 68112bu3 [0,0,0,4217901,1912315538] 2 68112bu4 [0,0,0,-9629139,-11324030830] 4 68112bu5 [0,0,0,-220179,-32492309038] 4 68112bu6 [0,0,0,-153407379,-731336701102] 2
68112bv (1 curve)	0	2- 3- 11+ 43-	2- 3-  4  1 11+ -4  6 -5
Curve Equation t 68112bv1 [0,0,0,-93,-65] 1
68112bw (1 curve)	0	2- 3- 11+ 43-	2- 3-  4 -5 11+  6 -2 -7
Curve Equation t 68112bw1 [0,0,0,-7833,-263225] 1
68112bx (1 curve)	0	2- 3- 11+ 43-	2- 3- -4  0 11+ -2 -6 -2
Curve Equation t 68112bx1 [0,0,0,-260067,-51047710] 1
68112by (1 curve)	0	2- 3- 11+ 43-	2- 3- -4  3 11+ -2  0  1
Curve Equation t 68112by1 [0,0,0,-13737,601175] 1
68112bz (2 curves)	0	2- 3- 11- 43+	2- 3-  0  4 11-  2 -6 -2
Curve Equation t 68112bz1 [0,0,0,2085,-15478] 1 68112bz2 [0,0,0,-37515,-2865094] 1
68112ca (1 curve)	2	2- 3- 11- 43+	2- 3- -1  1 11- -4 -3 -4
Curve Equation t Generators 68112ca1 [0,0,0,-3963,118186] 1 [-67:288:1]&[45:176:1]
68112cb (1 curve)	0	2- 3- 11- 43+	2- 3- -1  1 11-  6  7  4
Curve Equation t 68112cb1 [0,0,0,114792,61512491] 1
68112cc (1 curve)	0	2- 3- 11- 43+	2- 3-  2  1 11-  0  4 -5
Curve Equation t 68112cc1 [0,0,0,-309,2063] 1
68112cd (2 curves)	0	2- 3- 11- 43+	2- 3-  2  2 11- -2  2  4
Curve Equation t 68112cd1 [0,0,0,-323139,30431810] 2 68112cd2 [0,0,0,1151421,230677058] 2
68112ce (2 curves)	0	2- 3- 11- 43+	2- 3-  2 -4 11- -2  2 -8
Curve Equation t 68112ce1 [0,0,0,96,-97] 2 68112ce2 [0,0,0,-399,-790] 2
68112cf (1 curve)	0	2- 3- 11- 43+	2- 3-  2  5 11-  4 -4  7
Curve Equation t 68112cf1 [0,0,0,-521409,144915383] 1
68112cg (1 curve)	1	2- 3- 11- 43-	2- 3-  1  3 11-  4 -3  4
Curve Equation t Generators 68112cg1 [0,0,0,-8427,-423142] 1 [1589:63232:1]
68112ch (1 curve)	1	2- 3- 11- 43-	2- 3- -2 -1 11-  4 -4 -3
Curve Equation t Generators 68112ch1 [0,0,0,-8661,309899] 1 [50:43:1]
68112ci (1 curve)	1	2- 3- 11- 43-	2- 3- -2 -3 11- -2  6  7
Curve Equation t Generators 68112ci1 [0,0,0,-201,1091] 1 [10:9:1]

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