Cremona's table of elliptic curves

65472 = 2⁶ · 3 · 11 · 31

Class	r	Atkin-Lehner	Eigenvalues
65472a (2 curves)	1	2+ 3+ 11+ 31+	2+ 3+  0 -2 11+ -4  6  4
Curve Equation t Generators 65472a1 [0,-1,0,-278433,-56187999] 2 [3257761:-34843904:4913] 65472a2 [0,-1,0,-124673,-118091775] 2 [1153:35632:1]
65472b (4 curves)	1	2+ 3+ 11+ 31+	2+ 3+  2  4 11+ -2  2  0
Curve Equation t Generators 65472b1 [0,-1,0,1023,-1023] 2 [824690:23686397:1000] 65472b2 [0,-1,0,-4097,-4095] 4 [3299:189420:1] 65472b3 [0,-1,0,-43777,3527425] 2 [225:2240:1] 65472b4 [0,-1,0,-46337,-3814143] 2 [1132453:64918580:343]
65472c (1 curve)	1	2+ 3+ 11+ 31+	2+ 3+ -2  1 11+ -4 -5 -6
Curve Equation t Generators 65472c1 [0,-1,0,-18689,-1884927] 1 [296:4293:1]
65472d (2 curves)	0	2+ 3+ 11+ 31-	2+ 3+  2 -2 11+  4 -6  2
Curve Equation t 65472d1 [0,-1,0,-4050497,3121266753] 2 65472d2 [0,-1,0,-6590017,-1260421055] 2
65472e (2 curves)	0	2+ 3+ 11+ 31-	2+ 3+ -2 -2 11+  0  4  2
Curve Equation t 65472e1 [0,-1,0,-3344,-73326] 2 65472e2 [0,-1,0,-3289,-75911] 2
65472f (1 curve)	2	2+ 3+ 11- 31+	2+ 3+  2 -1 11- -4 -3 -6
Curve Equation t Generators 65472f1 [0,-1,0,6303,-294687] 1 [41:176:1]&[51:396:1]
65472g (4 curves)	0	2+ 3+ 11- 31+	2+ 3+  2 -4 11-  2  6  0
Curve Equation t 65472g1 [0,-1,0,-64637,-11264595] 2 65472g2 [0,-1,0,-1245617,-534438735] 4 65472g3 [0,-1,0,-1459457,-338176383] 2 65472g4 [0,-1,0,-19927457,-34232741727] 2
65472h (2 curves)	0	2+ 3+ 11- 31+	2+ 3+ -2  0 11-  4  6  4
Curve Equation t 65472h1 [0,-1,0,-109,445] 2 65472h2 [0,-1,0,111,1809] 2
65472i (2 curves)	0	2+ 3+ 11- 31+	2+ 3+ -2 -2 11- -4  8  2
Curve Equation t 65472i1 [0,-1,0,-39424,-2999246] 2 65472i2 [0,-1,0,-34969,-3707591] 2
65472j (2 curves)	1	2+ 3+ 11- 31-	2+ 3+  0 -2 11-  0  2  0
Curve Equation t Generators 65472j1 [0,-1,0,-420993,105062913] 2 [-631:10912:1] 65472j2 [0,-1,0,-267233,182650209] 2 [-600:11253:1]
65472k (1 curve)	1	2+ 3+ 11- 31-	2+ 3+ -1 -1 11- -6 -4  1
Curve Equation t Generators 65472k1 [0,-1,0,1359,65529] 1 [72:729:1]
65472l (2 curves)	1	2+ 3+ 11- 31-	2+ 3+  2 -2 11-  0  6  2
Curve Equation t Generators 65472l1 [0,-1,0,-10977,393057] 2 [656:16585:1] 65472l2 [0,-1,0,-169697,26962785] 2 [-311:7040:1]
65472m (2 curves)	1	2+ 3+ 11- 31-	2+ 3+ -2  2 11- -4  2 -6
Curve Equation t Generators 65472m1 [0,-1,0,-209,465] 2 [1:16:1] 65472m2 [0,-1,0,-2689,54529] 2 [9:176:1]
65472n (2 curves)	1	2+ 3+ 11- 31-	2+ 3+ -2 -4 11-  4 -2  0
Curve Equation t Generators 65472n1 [0,-1,0,-109,-611] 2 [25:108:1] 65472n2 [0,-1,0,-1969,-32975] 2 [56:171:1]
65472o (1 curve)	1	2+ 3+ 11- 31-	2+ 3+ -3  3 11-  2  0 -3
Curve Equation t Generators 65472o1 [0,-1,0,23,-3119] 1 [16:33:1]
65472p (2 curves)	0	2+ 3- 11+ 31+	2+ 3-  2 -2 11+ -4 -2 -6
Curve Equation t 65472p1 [0,1,0,-6433377,6089252607] 2 65472p2 [0,1,0,-15966497,-16166769345] 2
65472q (2 curves)	0	2+ 3- 11+ 31+	2+ 3- -2  4 11+  0  6  0
Curve Equation t 65472q1 [0,1,0,-8269,225587] 2 65472q2 [0,1,0,18351,1402191] 2
65472r (2 curves)	1	2+ 3- 11+ 31-	2+ 3-  0  4 11+  2 -2  6
Curve Equation t Generators 65472r1 [0,1,0,-2576993,1591050495] 2 [-1133:55296:1] 65472r2 [0,1,0,-2259553,1997945087] 2 [-1102:56133:1]
65472s (1 curve)	1	2+ 3- 11+ 31-	2+ 3- -1  3 11+  2  4  5
Curve Equation t Generators 65472s1 [0,1,0,-12881,558423] 1 [58:99:1]
65472t (4 curves)	1	2+ 3- 11+ 31-	2+ 3-  2  0 11+  2 -2 -4
Curve Equation t Generators 65472t1 [0,1,0,-797,-29757] 2 [17430:201159:125] 65472t2 [0,1,0,-20017,-1094545] 4 [126388333:8228571120:29791] 65472t3 [0,1,0,-27457,-215137] 2 [47374864117177219:3083867516782623780:11165826509551] 65472t4 [0,1,0,-320097,-69812865] 2 [16971:2209680:1]
65472u (1 curve)	1	2+ 3- 11+ 31-	2+ 3- -2 -1 11+  0 -5  2
Curve Equation t Generators 65472u1 [0,1,0,-3776609,2823867135] 1 [787:18432:1]
65472v (2 curves)	1	2+ 3- 11+ 31-	2+ 3- -2  2 11+ -4  8 -2
Curve Equation t Generators 65472v1 [0,1,0,-39424,2999246] 2 [5:1674:1] 65472v2 [0,1,0,-34969,3707591] 2 [269:3720:1]
65472w (2 curves)	1	2+ 3- 11+ 31-	2+ 3- -2 -2 11+  4  0  6
Curve Equation t Generators 65472w1 [0,1,0,91,-309] 2 [499:11160:1] 65472w2 [0,1,0,-529,-3409] 2 [-19:12:1]
65472x (2 curves)	1	2+ 3- 11+ 31-	2+ 3-  4 -4 11+ -6 -2  2
Curve Equation t Generators 65472x1 [0,1,0,-4001,11967] 2 [12930:105741:125] 65472x2 [0,1,0,15839,111167] 2 [5825970:107405189:91125]
65472y (6 curves)	1	2+ 3- 11- 31+	2+ 3-  2  0 11-  2  2 -4
Curve Equation t Generators 65472y1 [0,1,0,-86017,10203743] 2 [15208882416584:316870950790335:173367742976] 65472y2 [0,1,0,-1396737,634892895] 4 [217900356:156210615:314432] 65472y3 [0,1,0,-1417217,615293535] 4 [8138:120615:8] 65472y4 [0,1,0,-22347777,40655569503] 2 [132880852174986084:257828580460655:48691101036096] 65472y5 [0,1,0,1042943,2528805983] 4 [77:51084:1] 65472y6 [0,1,0,-4205057,-2552250273] 2 [3720610:-182538741:1000]
65472z (1 curve)	1	2+ 3- 11- 31+	2+ 3-  2  3 11- -4 -7  2
Curve Equation t Generators 65472z1 [0,1,0,223,11583] 1 [67:576:1]
65472ba (2 curves)	1	2+ 3- 11- 31+	2+ 3- -2  2 11-  0  4 -2
Curve Equation t Generators 65472ba1 [0,1,0,-3344,73326] 2 [-11:330:1] 65472ba2 [0,1,0,-3289,75911] 2 [26:93:1]
65472bb (2 curves)	1	2+ 3- 11- 31+	2+ 3- -2  2 11-  2 -4  2
Curve Equation t Generators 65472bb1 [0,1,0,-3694069,-2734054309] 2 [15677789438677760975593086599967329414225182150815:-817082302407739814663095519780898678135523665061164:4064964650880189364832601552846036617804365521] 65472bb2 [0,1,0,-59105329,-174919003633] 2 [-46622957227653107838523295257:-1882743788507391831914952:10503026349759599003558657]
65472bc (2 curves)	1	2+ 3- 11- 31+	2+ 3- -2  2 11- -4  2  2
Curve Equation t Generators 65472bc1 [0,1,0,-6209,-104673] 2 [-38:279:1] 65472bc2 [0,1,0,-45889,3696671] 2 [155:576:1]
65472bd (2 curves)	1	2+ 3- 11- 31+	2+ 3- -2 -2 11-  0  6  6
Curve Equation t Generators 65472bd1 [0,1,0,-5489,-157905] 2 [99:528:1] 65472bd2 [0,1,0,-7969,-3649] 2 [155:1584:1]
65472be (1 curve)	1	2+ 3- 11- 31+	2+ 3-  3 -3 11-  2 -4  7
Curve Equation t Generators 65472be1 [0,1,0,-89,879] 1 [10:33:1]
65472bf (2 curves)	2	2+ 3- 11- 31-	2+ 3-  0 -4 11- -2 -6 -6
Curve Equation t Generators 65472bf1 [0,1,0,-3233,66879] 2 [-35:372:1]&[-23:360:1] 65472bf2 [0,1,0,1727,258335] 2 [-53:144:1]&[11:-528:1]
65472bg (2 curves)	0	2+ 3- 11- 31-	2+ 3- -2  2 11-  6  4  2
Curve Equation t 65472bg1 [0,1,0,-2069,-166629] 2 65472bg2 [0,1,0,-59729,-5621265] 2
65472bh (2 curves)	0	2- 3+ 11+ 31+	2- 3+  0  4 11+ -2 -6  6
Curve Equation t 65472bh1 [0,-1,0,-3233,-66879] 2 65472bh2 [0,-1,0,1727,-258335] 2
65472bi (2 curves)	0	2- 3+ 11+ 31+	2- 3+ -2 -2 11+  6  4 -2
Curve Equation t 65472bi1 [0,-1,0,-2069,166629] 2 65472bi2 [0,-1,0,-59729,5621265] 2
65472bj (6 curves)	1	2- 3+ 11+ 31-	2- 3+  2  0 11+  2  2  4
Curve Equation t Generators 65472bj1 [0,-1,0,-86017,-10203743] 2 [175876501219688411996197575840:1945845759537467795340421183537:438377693596428469538816000] 65472bj2 [0,-1,0,-1396737,-634892895] 4 [-22988241360261132795:-936399266108866560:33746176697902577] 65472bj3 [0,-1,0,-1417217,-615293535] 4 [-200969263:-633258080:357911] 65472bj4 [0,-1,0,-22347777,-40655569503] 2 [-5788515622915953808750445277852080:45427695510489044991194706737:2121112500175970390102999552000] 65472bj5 [0,-1,0,1042943,-2528805983] 2 [326877181956407:89564030803796640:4354703137] 65472bj6 [0,-1,0,-4205057,2552250273] 4 [-283205:2635248:125]
65472bk (2 curves)	1	2- 3+ 11+ 31-	2- 3+  2  2 11+  4 -6  2
Curve Equation t Generators 65472bk1 [0,-1,0,-52,-110] 2 [-87:100:27] 65472bk2 [0,-1,0,-217,1177] 2 [-7:48:1]
65472bl (1 curve)	1	2- 3+ 11+ 31-	2- 3+  2 -3 11+ -4 -7 -2
Curve Equation t Generators 65472bl1 [0,-1,0,223,-11583] 1 [23:72:1]
65472bm (4 curves)	1	2- 3+ 11+ 31-	2- 3+ -2  0 11+ -2 -6  4
Curve Equation t Generators 65472bm1 [0,-1,0,-1364,-18942] 2 [43:8:1] 65472bm2 [0,-1,0,-1369,-18791] 4 [-21:16:1] 65472bm3 [0,-1,0,-129,-52767] 2 [103:1008:1] 65472bm4 [0,-1,0,-2689,24769] 4 [111:1040:1]
65472bn (2 curves)	1	2- 3+ 11+ 31-	2- 3+ -2  2 11+  0  6 -6
Curve Equation t Generators 65472bn1 [0,-1,0,-5489,157905] 2 [-17:496:1] 65472bn2 [0,-1,0,-7969,3649] 2 [-25:432:1]
65472bo (2 curves)	1	2- 3+ 11+ 31-	2- 3+ -2 -2 11+  2 -4 -2
Curve Equation t Generators 65472bo1 [0,-1,0,-3694069,2734054309] 2 [1129:1116:1] 65472bo2 [0,-1,0,-59105329,174919003633] 2 [4043:45012:1]
65472bp (2 curves)	1	2- 3+ 11+ 31-	2- 3+ -2 -2 11+ -4  2 -2
Curve Equation t Generators 65472bp1 [0,-1,0,-6209,104673] 2 [-59:512:1] 65472bp2 [0,-1,0,-45889,-3696671] 2 [-121:264:1]
65472bq (1 curve)	1	2- 3+ 11+ 31-	2- 3+  3  3 11+  2 -4 -7
Curve Equation t Generators 65472bq1 [0,-1,0,-89,-879] 1 [250:1287:8]
65472br (2 curves)	1	2- 3+ 11- 31+	2- 3+  0 -4 11-  2 -2 -6
Curve Equation t Generators 65472br1 [0,-1,0,-2576993,-1591050495] 2 [-15559657141:-5285145524:16974593] 65472br2 [0,-1,0,-2259553,-1997945087] 2 [8095636888790962547:-1570665348771047824404:214717347294841]
65472bs (1 curve)	1	2- 3+ 11- 31+	2- 3+ -1 -3 11-  2  4 -5
Curve Equation t Generators 65472bs1 [0,-1,0,-12881,-558423] 1 [176:1611:1]
65472bt (4 curves)	1	2- 3+ 11- 31+	2- 3+  2  0 11-  2 -2  4
Curve Equation t Generators 65472bt1 [0,-1,0,-797,29757] 2 [138:1155:8] 65472bt2 [0,-1,0,-20017,1094545] 4 [35:660:1] 65472bt3 [0,-1,0,-27457,215137] 2 [4512:13915:27] 65472bt4 [0,-1,0,-320097,69812865] 2 [9129:9460:27]
65472bu (1 curve)	1	2- 3+ 11- 31+	2- 3+ -2  1 11-  0 -5 -2
Curve Equation t Generators 65472bu1 [0,-1,0,-3776609,-2823867135] 1 [32567:5866344:1]
65472bv (2 curves)	1	2- 3+ 11- 31+	2- 3+ -2  2 11-  4  0 -6
Curve Equation t Generators 65472bv1 [0,-1,0,91,309] 2 [1:20:1] 65472bv2 [0,-1,0,-529,3409] 2 [-15:88:1]
65472bw (2 curves)	1	2- 3+ 11- 31+	2- 3+  4  4 11- -6 -2 -2
Curve Equation t Generators 65472bw1 [0,-1,0,-4001,-11967] 2 [-53:220:1] 65472bw2 [0,-1,0,15839,-111167] 2 [832:24255:1]
65472bx (2 curves)	0	2- 3+ 11- 31-	2- 3+  0  0 11-  2  6  6
Curve Equation t 65472bx1 [0,-1,0,-313,1465] 2 65472bx2 [0,-1,0,927,9153] 2
65472by (2 curves)	0	2- 3+ 11- 31-	2- 3+  2  2 11- -4 -2  6
Curve Equation t 65472by1 [0,-1,0,-6433377,-6089252607] 2 65472by2 [0,-1,0,-15966497,16166769345] 2
65472bz (2 curves)	0	2- 3+ 11- 31-	2- 3+  2 -2 11- -4  2 -2
Curve Equation t 65472bz1 [0,-1,0,-932,-9030] 2 65472bz2 [0,-1,0,-14297,-653223] 2
65472ca (4 curves)	0	2- 3+ 11- 31-	2- 3+  2  4 11- -6 -2  4
Curve Equation t 65472ca1 [0,-1,0,-412,-2990] 2 65472ca2 [0,-1,0,-1017,8505] 4 65472ca3 [0,-1,0,2943,55233] 2 65472ca4 [0,-1,0,-14657,687777] 2
65472cb (2 curves)	0	2- 3+ 11- 31-	2- 3+ -2 -4 11-  0  6  0
Curve Equation t 65472cb1 [0,-1,0,-8269,-225587] 2 65472cb2 [0,-1,0,18351,-1402191] 2
65472cc (2 curves)	1	2- 3- 11+ 31+	2- 3-  0  0 11+  2  6 -6
Curve Equation t Generators 65472cc1 [0,1,0,-313,-1465] 2 [-13:24:1] 65472cc2 [0,1,0,927,-9153] 2 [18:117:1]
65472cd (2 curves)	1	2- 3- 11+ 31+	2- 3-  0  2 11+  0  2  0
Curve Equation t Generators 65472cd1 [0,1,0,-420993,-105062913] 2 [-379:444:1] 65472cd2 [0,1,0,-267233,-182650209] 2 [5095:361584:1]
65472ce (1 curve)	1	2- 3- 11+ 31+	2- 3- -1  1 11+ -6 -4 -1
Curve Equation t Generators 65472ce1 [0,1,0,1359,-65529] 1 [90:891:1]
65472cf (2 curves)	1	2- 3- 11+ 31+	2- 3-  2  2 11+  0  6 -2
Curve Equation t Generators 65472cf1 [0,1,0,-10977,-393057] 2 [-43:36:1] 65472cf2 [0,1,0,-169697,-26962785] 2 [23818:3675375:1]
65472cg (2 curves)	1	2- 3- 11+ 31+	2- 3-  2  2 11+ -4  2  2
Curve Equation t Generators 65472cg1 [0,1,0,-932,9030] 2 [1:90:1] 65472cg2 [0,1,0,-14297,653223] 2 [7:744:1]
65472ch (4 curves)	1	2- 3- 11+ 31+	2- 3-  2 -4 11+ -6 -2 -4
Curve Equation t Generators 65472ch1 [0,1,0,-412,2990] 2 [154:405:8] 65472ch2 [0,1,0,-1017,-8505] 4 [-15:60:1] 65472ch3 [0,1,0,2943,-55233] 2 [117:1380:1] 65472ch4 [0,1,0,-14657,-687777] 2 [154:855:1]
65472ci (2 curves)	1	2- 3- 11+ 31+	2- 3- -2 -2 11+ -4  2  6
Curve Equation t Generators 65472ci1 [0,1,0,-209,-465] 2 [-3:12:1] 65472ci2 [0,1,0,-2689,-54529] 2 [266:4257:1]
65472cj (2 curves)	1	2- 3- 11+ 31+	2- 3- -2  4 11+  4 -2  0
Curve Equation t Generators 65472cj1 [0,1,0,-109,611] 2 [14:45:1] 65472cj2 [0,1,0,-1969,32975] 2 [750:595:27]
65472ck (1 curve)	1	2- 3- 11+ 31+	2- 3- -3 -3 11+  2  0  3
Curve Equation t Generators 65472ck1 [0,1,0,23,3119] 1 [50:363:1]
65472cl (1 curve)	0	2- 3- 11+ 31-	2- 3-  2  1 11+ -4 -3  6
Curve Equation t 65472cl1 [0,1,0,6303,294687] 1
65472cm (4 curves)	0	2- 3- 11+ 31-	2- 3-  2  4 11+  2  6  0
Curve Equation t 65472cm1 [0,1,0,-64637,11264595] 2 65472cm2 [0,1,0,-1245617,534438735] 4 65472cm3 [0,1,0,-1459457,338176383] 2 65472cm4 [0,1,0,-19927457,34232741727] 2
65472cn (2 curves)	0	2- 3- 11+ 31-	2- 3- -2  0 11+  4  6 -4
Curve Equation t 65472cn1 [0,1,0,-109,-445] 2 65472cn2 [0,1,0,111,-1809] 2
65472co (2 curves)	0	2- 3- 11- 31+	2- 3-  2  2 11-  4 -6 -2
Curve Equation t 65472co1 [0,1,0,-4050497,-3121266753] 2 65472co2 [0,1,0,-6590017,1260421055] 2
65472cp (2 curves)	0	2- 3- 11- 31+	2- 3-  2 -2 11-  4 -6 -2
Curve Equation t 65472cp1 [0,1,0,-52,110] 2 65472cp2 [0,1,0,-217,-1177] 2
65472cq (4 curves)	2	2- 3- 11- 31+	2- 3- -2  0 11- -2 -6 -4
Curve Equation t Generators 65472cq1 [0,1,0,-1364,18942] 2 [186:147:8]&[618:4935:8] 65472cq2 [0,1,0,-1369,18791] 4 [-31:180:1]&[1:132:1] 65472cq3 [0,1,0,-129,52767] 4 [-21:216:1]&[42:351:1] 65472cq4 [0,1,0,-2689,-24769] 2 [-11:60:1]&[506:1995:8]
65472cr (2 curves)	1	2- 3- 11- 31-	2- 3-  0  2 11- -4  6 -4
Curve Equation t Generators 65472cr1 [0,1,0,-278433,56187999] 2 [225:2232:1] 65472cr2 [0,1,0,-124673,118091775] 2 [721:20088:1]
65472cs (4 curves)	1	2- 3- 11- 31-	2- 3-  2 -4 11- -2  2  0
Curve Equation t Generators 65472cs1 [0,1,0,1023,1023] 2 [2659384:24969825:175616] 65472cs2 [0,1,0,-4097,4095] 4 [6532:51975:64] 65472cs3 [0,1,0,-43777,-3527425] 2 [401:6600:1] 65472cs4 [0,1,0,-46337,3814143] 2 [-33:2304:1]
65472ct (1 curve)	1	2- 3- 11- 31-	2- 3- -2 -1 11- -4 -5  6
Curve Equation t Generators 65472ct1 [0,1,0,-18689,1884927] 1 [223:2976:1]

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