Cremona's table of elliptic curves

110550 = 2 · 3 · 5² · 11 · 67

Class	r	Atkin-Lehner	Eigenvalues
110550a (1 curve)	1	2+ 3+ 5+ 11+ 67+	2+ 3+ 5+  2 11+  7  2  1
Curve Equation t Generators 110550a1 [1,1,0,-2525,-58125] 1 [470:-35:8]
110550b (2 curves)	1	2+ 3+ 5+ 11+ 67+	2+ 3+ 5+ -2 11+  1  6  5
Curve Equation t Generators 110550b1 [1,1,0,-1686525,849448125] 1 [365:16630:1] 110550b2 [1,1,0,5417475,4461160125] 1 [986484805:-120158312715:68921]
110550c (1 curve)	1	2+ 3+ 5+ 11+ 67+	2+ 3+ 5+ -2 11+  2  1 -5
Curve Equation t Generators 110550c1 [1,1,0,-46952825,127700377125] 1 [3666:67863:1]
110550d (4 curves)	1	2+ 3+ 5+ 11+ 67+	2+ 3+ 5+  4 11+  2 -2  4
Curve Equation t Generators 110550d1 [1,1,0,3625,-136875] 2 [25160:194095:512] 110550d2 [1,1,0,-28375,-1512875] 4 [-930:4315:8] 110550d3 [1,1,0,-138375,18397125] 2 [270:765:1] 110550d4 [1,1,0,-430375,-108846875] 2 [98100:3359075:64]
110550e (4 curves)	0	2+ 3+ 5+ 11+ 67-	2+ 3+ 5+  0 11+ -6  6  4
Curve Equation t 110550e1 [1,1,0,-94900,10930000] 2 110550e2 [1,1,0,-222900,-25038000] 4 110550e3 [1,1,0,677100,-175338000] 2 110550e4 [1,1,0,-3170900,-2174130000] 2
110550f (2 curves)	0	2+ 3+ 5+ 11+ 67-	2+ 3+ 5+ -2 11+ -2 -2 -2
Curve Equation t 110550f1 [1,1,0,-11626775,15252583125] 2 110550f2 [1,1,0,-10554775,18180215125] 2
110550g (2 curves)	2	2+ 3+ 5+ 11+ 67-	2+ 3+ 5+ -2 11+ -4  0  0
Curve Equation t Generators 110550g1 [1,1,0,-2250,-37500] 2 [-31:76:1]&[-25:75:1] 110550g2 [1,1,0,3250,-186000] 2 [40:80:1]&[70:-660:1]
110550h (1 curve)	0	2+ 3+ 5+ 11+ 67-	2+ 3+ 5+ -4 11+ -5 -4  2
Curve Equation t 110550h1 [1,1,0,-128560,-17795840] 1
110550i (1 curve)	0	2+ 3+ 5+ 11- 67+	2+ 3+ 5+  3 11- -2  8  0
Curve Equation t 110550i1 [1,1,0,-17650,1400500] 1
110550j (2 curves)	0	2+ 3+ 5+ 11- 67+	2+ 3+ 5+  4 11-  4  3 -1
Curve Equation t 110550j1 [1,1,0,-95,-1155] 1 110550j2 [1,1,0,-11645,-488565] 1
110550k (1 curve)	1	2+ 3+ 5- 11+ 67-	2+ 3+ 5- -4 11+ -1  8 -2
Curve Equation t Generators 110550k1 [1,1,0,-160075,-24507875] 1 [-1130007:2808404:4913]
110550l (1 curve)	0	2+ 3+ 5- 11- 67-	2+ 3+ 5-  4 11-  3  0 -2
Curve Equation t 110550l1 [1,1,0,-84784575,-300282307875] 1
110550m (1 curve)	1	2+ 3- 5+ 11+ 67-	2+ 3- 5+  1 11+ -6  4  4
Curve Equation t Generators 110550m1 [1,0,1,-31401,30612448] 1 [281:6492:1]
110550n (2 curves)	1	2+ 3- 5+ 11+ 67-	2+ 3- 5+ -2 11+  0 -2  4
Curve Equation t Generators 110550n1 [1,0,1,-437676,109195498] 2 [292:2366:1] 110550n2 [1,0,1,46324,337643498] 2 [-222:17899:1]
110550o (1 curve)	1	2+ 3- 5+ 11+ 67-	2+ 3- 5+ -5 11+  0 -2 -2
Curve Equation t Generators 110550o1 [1,0,1,-9600526,-11451775552] 1 [87379929:248928113:24389]
110550p (1 curve)	1	2+ 3- 5+ 11- 67+	2+ 3- 5+  0 11- -3  4  2
Curve Equation t Generators 110550p1 [1,0,1,-12385434076,-372877297321702] 1 [-1477185827726126:94808534073655802:16718302693]
110550q (2 curves)	1	2+ 3- 5+ 11- 67+	2+ 3- 5+ -4 11-  0 -6  4
Curve Equation t Generators 110550q1 [1,0,1,-500482401,4309499188948] 2 [12632:49371:1] 110550q2 [1,0,1,-496962401,4373105588948] 2 [10818:507442:1]
110550r (1 curve)	0	2+ 3- 5+ 11- 67-	2+ 3- 5+  1 11-  6  0 -8
Curve Equation t 110550r1 [1,0,1,274,-652] 1
110550s (2 curves)	0	2+ 3- 5+ 11- 67-	2+ 3- 5+ -2 11-  0  0  4
Curve Equation t 110550s1 [1,0,1,-1634276,804009698] 2 110550s2 [1,0,1,-1612276,826713698] 2
110550t (2 curves)	0	2+ 3- 5+ 11- 67-	2+ 3- 5+ -2 11-  0  2 -4
Curve Equation t 110550t1 [1,0,1,-11601,-466652] 2 110550t2 [1,0,1,4399,-1650652] 2
110550u (2 curves)	0	2+ 3- 5+ 11- 67-	2+ 3- 5+ -2 11- -4  6  4
Curve Equation t 110550u1 [1,0,1,-1024376,-399140602] 2 110550u2 [1,0,1,-999376,-419540602] 2
110550v (2 curves)	0	2+ 3- 5+ 11- 67-	2+ 3- 5+  4 11-  0 -6 -2
Curve Equation t 110550v1 [1,0,1,-144326,-20430952] 2 110550v2 [1,0,1,-2288326,-1332558952] 2
110550w (1 curve)	0	2+ 3- 5+ 11- 67-	2+ 3- 5+  4 11-  4 -3  3
Curve Equation t 110550w1 [1,0,1,-936,-63242] 1
110550x (1 curve)	1	2+ 3- 5- 11+ 67+	2+ 3- 5-  0 11+  5  0  6
Curve Equation t Generators 110550x1 [1,0,1,-4826,48548] 1 [-48:436:1]
110550y (1 curve)	1	2+ 3- 5- 11+ 67+	2+ 3- 5-  1 11+ -4 -3  5
Curve Equation t Generators 110550y1 [1,0,1,-1701,556048] 1 [131:1542:1]
110550z (1 curve)	0	2+ 3- 5- 11+ 67-	2+ 3- 5-  0 11+  5 -2  3
Curve Equation t 110550z1 [1,0,1,-13502451,19095958798] 1
110550ba (2 curves)	0	2+ 3- 5- 11+ 67-	2+ 3- 5-  2 11+ -1  6  2
Curve Equation t 110550ba1 [1,0,1,-2259701,1245875798] 3 110550ba2 [1,0,1,-30525326,-64599462952] 1
110550bb (1 curve)	0	2+ 3- 5- 11- 67+	2+ 3- 5-  4 11- -5 -6 -5
Curve Equation t 110550bb1 [1,0,1,3320674,-43299952] 1
110550bc (2 curves)	0	2- 3+ 5+ 11+ 67+	2- 3+ 5+  0 11+ -4  2 -6
Curve Equation t 110550bc1 [1,1,1,-14763,-649719] 2 110550bc2 [1,1,1,-48263,3303281] 2
110550bd (2 curves)	0	2- 3+ 5+ 11+ 67+	2- 3+ 5+ -2 11+  1 -6  2
Curve Equation t 110550bd1 [1,1,1,-90388,9930851] 1 110550bd2 [1,1,1,-1221013,-517284109] 1
110550be (4 curves)	0	2- 3+ 5+ 11+ 67+	2- 3+ 5+  4 11+  4  6 -4
Curve Equation t 110550be1 [1,1,1,-663938,207083531] 2 110550be2 [1,1,1,-320188,421583531] 2 110550be3 [1,1,1,-3785813,-2685966469] 2 110550be4 [1,1,1,2869187,-11111196469] 2
110550bf (1 curve)	1	2- 3+ 5+ 11+ 67-	2- 3+ 5+  0 11+ -5  0  6
Curve Equation t Generators 110550bf1 [1,1,1,-193,311] 1 [1:10:1]
110550bg (1 curve)	1	2- 3+ 5+ 11+ 67-	2- 3+ 5+ -1 11+  4  3  5
Curve Equation t Generators 110550bg1 [1,1,1,-68,4421] 1 [-1:67:1]
110550bh (2 curves)	1	2- 3+ 5+ 11+ 67-	2- 3+ 5+  2 11+ -2  6 -4
Curve Equation t Generators 110550bh1 [1,1,1,-1832688,99913281] 2 [3444:75345:64] 110550bh2 [1,1,1,-19020188,-31800086719] 2 [-13486177892:13650634529:5088448]
110550bi (2 curves)	1	2- 3+ 5+ 11+ 67-	2- 3+ 5+  2 11+  4 -4 -4
Curve Equation t Generators 110550bi1 [1,1,1,-17688,88281] 2 [-75:1037:1] 110550bi2 [1,1,1,70312,792281] 2 [145:3677:1]
110550bj (2 curves)	1	2- 3+ 5+ 11+ 67-	2- 3+ 5+ -2 11+  4 -2  4
Curve Equation t Generators 110550bj1 [1,1,1,-1272313,-449061469] 2 [-69200715370:-898476929821:96071912] 110550bj2 [1,1,1,2633937,-2659998969] 2 [8123042677183453639390:-401698763478436446932313:4621961644762580936]
110550bk (2 curves)	1	2- 3+ 5+ 11+ 67-	2- 3+ 5+ -2 11+ -4 -2 -4
Curve Equation t Generators 110550bk1 [1,1,1,-6232463,5986021781] 2 [-1765:108082:1] 110550bk2 [1,1,1,-5976463,6500581781] 2 [1199:-33162:1]
110550bl (1 curve)	1	2- 3+ 5+ 11+ 67-	2- 3+ 5+ -2 11+ -5 -2 -5
Curve Equation t Generators 110550bl1 [1,1,1,-713,19031] 1 [5:-128:1]
110550bm (2 curves)	0	2- 3+ 5+ 11- 67-	2- 3+ 5+  0 11-  2  0  0
Curve Equation t 110550bm1 [1,1,1,-8663,306281] 2 110550bm2 [1,1,1,-11413,91781] 2
110550bn (4 curves)	0	2- 3+ 5+ 11- 67-	2- 3+ 5+  0 11- -2  6 -8
Curve Equation t 110550bn1 [1,1,1,-3488,-80719] 2 110550bn2 [1,1,1,-3988,-56719] 4 110550bn3 [1,1,1,12762,-391719] 2 110550bn4 [1,1,1,-28738,1824281] 2
110550bo (4 curves)	0	2- 3+ 5+ 11- 67-	2- 3+ 5+  4 11-  6 -2 -4
Curve Equation t 110550bo1 [1,1,1,-447338,24199031] 2 110550bo2 [1,1,1,-5447338,4884199031] 4 110550bo3 [1,1,1,-3772338,7946099031] 2 110550bo4 [1,1,1,-87122338,312962299031] 2
110550bp (2 curves)	0	2- 3+ 5+ 11- 67-	2- 3+ 5+  4 11- -6  4  0
Curve Equation t 110550bp1 [1,1,1,-293438,-61230469] 2 110550bp2 [1,1,1,-4693438,-3915630469] 2
110550bq (4 curves)	0	2- 3+ 5+ 11- 67-	2- 3+ 5+ -4 11- -2  6  4
Curve Equation t 110550bq1 [1,1,1,-958092588,-11414962599219] 2 110550bq2 [1,1,1,-960140588,-11363713447219] 4 110550bq3 [1,1,1,-290140588,-26929153447219] 2 110550bq4 [1,1,1,-1662908588,7481713240781] 2
110550br (1 curve)	1	2- 3+ 5- 11+ 67+	2- 3+ 5-  0 11+ -5  2  3
Curve Equation t Generators 110550br1 [1,1,1,-540098,152551631] 1 [425:-253:1]
110550bs (1 curve)	0	2- 3+ 5- 11- 67+	2- 3+ 5- -4 11- -4  3  3
Curve Equation t 110550bs1 [1,1,1,-23388,-7905219] 1
110550bt (1 curve)	1	2- 3+ 5- 11- 67-	2- 3+ 5-  0 11-  3 -4  2
Curve Equation t Generators 110550bt1 [1,1,1,-495417363,-2983216545519] 1 [-248847:24274426:27]
110550bu (1 curve)	1	2- 3+ 5- 11- 67-	2- 3+ 5- -4 11-  5  6 -5
Curve Equation t Generators 110550bu1 [1,1,1,132827,-293269] 1 [55:2652:1]
110550bv (1 curve)	1	2- 3- 5+ 11+ 67+	2- 3- 5+  4 11+  1 -8 -2
Curve Equation t Generators 110550bv1 [1,0,0,-6403,-196063] 1 [-14882:15427:343]
110550bw (2 curves)	0	2- 3- 5+ 11+ 67-	2- 3- 5+  0 11+ -2  4  4
Curve Equation t 110550bw1 [1,0,0,-22288,-1262308] 2 110550bw2 [1,0,0,-355038,-81455058] 2
110550bx (2 curves)	2	2- 3- 5+ 11+ 67-	2- 3- 5+ -4 11+ -6  0 -4
Curve Equation t Generators 110550bx1 [1,0,0,-11413,382817] 2 [122:839:1]&[-98:799:1] 110550bx2 [1,0,0,-55413,-4677183] 2 [342:3879:1]&[-144:639:1]
110550by (2 curves)	0	2- 3- 5+ 11- 67+	2- 3- 5+  2 11-  6  6 -2
Curve Equation t 110550by1 [1,0,0,-92213,10680417] 2 110550by2 [1,0,0,-25213,25889417] 2
110550bz (1 curve)	0	2- 3- 5+ 11- 67+	2- 3- 5+ -4 11- -3  0 -2
Curve Equation t 110550bz1 [1,0,0,-3391383,-2402258463] 1
110550ca (4 curves)	1	2- 3- 5+ 11- 67-	2- 3- 5+  0 11- -2 -2 -8
Curve Equation t Generators 110550ca1 [1,0,0,-4308288,-3275255808] 2 [-1008:7104:1] 110550ca2 [1,0,0,-12500288,12871176192] 4 [4672:-239936:1] 110550ca3 [1,0,0,30091712,81572072192] 2 [-1048:-220576:1] 110550ca4 [1,0,0,-186164288,977574696192] 2 [11596:-620720:1]
110550cb (2 curves)	1	2- 3- 5+ 11- 67-	2- 3- 5+ -2 11- -2  0  0
Curve Equation t Generators 110550cb1 [1,0,0,-48813,1849617] 2 [-18:-1641:1] 110550cb2 [1,0,0,-653813,203314617] 2 [532:-2741:1]
110550cc (1 curve)	0	2- 3- 5- 11+ 67+	2- 3- 5-  4 11+  5  4  2
Curve Equation t 110550cc1 [1,0,0,-3214013,-2218051983] 1
110550cd (1 curve)	1	2- 3- 5- 11+ 67-	2- 3- 5-  2 11+ -2 -1 -5
Curve Equation t Generators 110550cd1 [1,0,0,-1878113,1021603017] 1 [1798:57907:1]
110550ce (2 curves)	0	2- 3- 5- 11- 67-	2- 3- 5- -4 11- -4 -3 -1
Curve Equation t 110550ce1 [1,0,0,-2388,-139608] 3 110550ce2 [1,0,0,-291138,-60488358] 1

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