Cremona's table of elliptic curves

57222 = 2 · 3² · 11 · 17²

Class	r	Atkin-Lehner	Eigenvalues
57222a (4 curves)	1	2+ 3+ 11+ 17+	2+ 3+  0 -2 11+  2 17+  2
Curve Equation t Generators 57222a1 [1,-1,0,-25197,1535317] 2 [-106:1787:1] 57222a2 [1,-1,0,-42537,-833327] 2 [-123:1651:1] 57222a3 [1,-1,0,-168252,-25572016] 2 [-1970:8499:8] 57222a4 [1,-1,0,-2665212,-1674065008] 2 [-16548506:7746539:17576]
57222b (2 curves)	0	2+ 3+ 11- 17+	2+ 3+  0 -4 11-  4 17+ -4
Curve Equation t 57222b1 [1,-1,0,-90222,9759968] 2 57222b2 [1,-1,0,-1416732,649403090] 2
57222c (2 curves)	0	2+ 3- 11+ 17+	2+ 3-  0  0 11+  2 17+  0
Curve Equation t 57222c1 [1,-1,0,-944217,348411613] 2 57222c2 [1,-1,0,-59877,974347465] 2
57222d (2 curves)	0	2+ 3- 11+ 17+	2+ 3-  0 -2 11+ -1 17+ -7
Curve Equation t 57222d1 [1,-1,0,15093,919237] 1 57222d2 [1,-1,0,-474507,126511429] 1
57222e (1 curve)	0	2+ 3- 11+ 17+	2+ 3-  2 -1 11+  7 17+ -7
Curve Equation t 57222e1 [1,-1,0,-42159051,-105385147835] 1
57222f (1 curve)	0	2+ 3- 11+ 17+	2+ 3-  2  2 11+  1 17+  5
Curve Equation t 57222f1 [1,-1,0,99,3685] 1
57222g (2 curves)	0	2+ 3- 11+ 17+	2+ 3-  2  2 11+  4 17+  2
Curve Equation t 57222g1 [1,-1,0,-31266,-1716800] 2 57222g2 [1,-1,0,-473436,-125259098] 2
57222h (4 curves)	0	2+ 3- 11+ 17+	2+ 3-  2  4 11+ -6 17+  4
Curve Equation t 57222h1 [1,-1,0,-5256,-1296] 2 57222h2 [1,-1,0,-57276,5273532] 4 57222h3 [1,-1,0,-31266,10064574] 2 57222h4 [1,-1,0,-915606,337447242] 2
57222i (4 curves)	0	2+ 3- 11+ 17+	2+ 3-  2 -4 11+ -2 17+ -4
Curve Equation t 57222i1 [1,-1,0,-15208101,17855409685] 2 57222i2 [1,-1,0,-228282021,1327535566357] 4 57222i3 [1,-1,0,-213300261,1509291282325] 2 57222i4 [1,-1,0,-3652446501,84962752990357] 2
57222j (6 curves)	0	2+ 3- 11+ 17+	2+ 3- -2  0 11+ -2 17+ -4
Curve Equation t 57222j1 [1,-1,0,-738738,-184932396] 2 57222j2 [1,-1,0,-4068018,3005183700] 4 57222j3 [1,-1,0,2798622,12114468324] 2 57222j4 [1,-1,0,-64203138,198023377860] 4 57222j5 [1,-1,0,-63318798,203742758376] 2 57222j6 [1,-1,0,-1027249398,12672746802144] 2
57222k (2 curves)	2	2+ 3- 11+ 17+	2+ 3- -2  4 11+ -4 17+ -8
Curve Equation t Generators 57222k1 [1,-1,0,-2351358,-1376241260] 2 [-948:922:1]&[-7410:23935:8] 57222k2 [1,-1,0,-686718,-3288246764] 2 [4025:-245206:1]&[2207190:-78208217:1000]
57222l (1 curve)	2	2+ 3- 11+ 17+	2+ 3- -2 -5 11+ -1 17+  1
Curve Equation t Generators 57222l1 [1,-1,0,-513,4909] 1 [5:47:1]&[-22:83:1]
57222m (2 curves)	0	2+ 3- 11+ 17+	2+ 3-  4 -4 11+ -6 17+ -8
Curve Equation t 57222m1 [1,-1,0,-268110,-52916652] 2 57222m2 [1,-1,0,-72270,-128706732] 2
57222n (1 curve)	1	2+ 3- 11+ 17-	2+ 3-  0 -1 11+ -5 17-  1
Curve Equation t Generators 57222n1 [1,-1,0,1487718,1009519632] 1 [1374:74454:1]
57222o (1 curve)	1	2+ 3- 11+ 17-	2+ 3-  2  1 11+  3 17- -3
Curve Equation t Generators 57222o1 [1,-1,0,-5256,-4121280] 1 [1168:39192:1]
57222p (2 curves)	1	2+ 3- 11- 17+	2+ 3-  0  0 11-  2 17+  0
Curve Equation t Generators 57222p1 [1,-1,0,-3267,71685] 2 [-38:393:1] 57222p2 [1,-1,0,-207,198369] 2 [15:-453:1]
57222q (1 curve)	1	2+ 3- 11- 17+	2+ 3-  0  1 11- -5 17+  1
Curve Equation t Generators 57222q1 [1,-1,0,5148,204268] 1 [182:-2764:1]
57222r (2 curves)	1	2+ 3- 11- 17+	2+ 3-  0 -2 11-  4 17+ -8
Curve Equation t Generators 57222r1 [1,-1,0,-515052,-142139588] 2 [1254:33764:1] 57222r2 [1,-1,0,-489042,-157157762] 2 [4463:291947:1]
57222s (4 curves)	1	2+ 3- 11- 17+	2+ 3-  0 -2 11- -4 17+  8
Curve Equation t Generators 57222s1 [1,-1,0,-534370302,4706697104788] 2 [-157:2188820:1] 57222s2 [1,-1,0,-108222462,12006524374420] 2 [4899051:-2483482591:729] 57222s3 [1,-1,0,-43162471422,3451508339468692] 2 [42380769253:-350401978289:357911] 57222s4 [1,-1,0,-43162055262,3451578223802548] 2 [482964287445015525:-4123608565124618513:4076829984375]
57222t (2 curves)	1	2+ 3- 11- 17+	2+ 3-  2  2 11-  4 17+ -2
Curve Equation t Generators 57222t1 [1,-1,0,-1071058041,12968401028589] 2 [-18552256102241197881394650:-7400719330041525364293889299:1502928449342558240003] 57222t2 [1,-1,0,-2882186361,-42453212240403] 2 [-16368238715773245275066281546404045185669204723:-2420964152677178040914509849207585055911134957676:713684961090385068187973806355448177447781]
57222u (4 curves)	1	2+ 3- 11- 17+	2+ 3-  2 -4 11- -2 17+  4
Curve Equation t Generators 57222u1 [1,-1,0,-1006641,-388473651] 2 [-24912790:16353849:42875] 57222u2 [1,-1,0,-1058661,-346056543] 4 [1239:14973:1] 57222u3 [1,-1,0,2088549,-2013448401] 2 [291459:6489993:343] 57222u4 [1,-1,0,-5038191,4035405987] 2 [2571:88557:1]
57222v (2 curves)	1	2+ 3- 11- 17+	2+ 3- -2  0 11- -4 17+ -4
Curve Equation t Generators 57222v1 [1,-1,0,-23463,677565] 2 [-123:1362:1] 57222v2 [1,-1,0,80577,4984821] 2 [13:2450:1]
57222w (1 curve)	1	2+ 3- 11- 17+	2+ 3- -2 -1 11-  3 17+ -3
Curve Equation t Generators 57222w1 [1,-1,0,-1519038,-20253924716] 1 [6668:512474:1]
57222x (2 curves)	1	2+ 3- 11- 17+	2+ 3-  4  2 11-  0 17+  0
Curve Equation t Generators 57222x1 [1,-1,0,-509850,140162548] 2 [-21:12293:1] 57222x2 [1,-1,0,-405810,198945148] 2 [1049:29918:1]
57222y (4 curves)	1	2+ 3- 11- 17+	2+ 3- -4  2 11-  4 17+  0
Curve Equation t Generators 57222y1 [1,-1,0,-117099,-11213051] 2 [-259:1430:1] 57222y2 [1,-1,0,299061,-73220891] 2 [285:5782:1] 57222y3 [1,-1,0,-26179119,51562715449] 2 [2988:-4673:1] 57222y4 [1,-1,0,-26153109,51670266799] 2 [2835:-18902:1]
57222z (2 curves)	1	2+ 3- 11- 17+	2+ 3- -4  4 11- -6 17+ -8
Curve Equation t Generators 57222z1 [1,-1,0,-77483844,-260289446576] 2 [241510025:-23477925349:15625] 57222z2 [1,-1,0,-20886084,-632419718576] 2 [14549:1456688:1]
57222ba (2 curves)	0	2+ 3- 11- 17-	2+ 3-  0  2 11- -1 17- -7
Curve Equation t 57222ba1 [1,-1,0,4361823,4533658749] 1 57222ba2 [1,-1,0,-137132577,621002120445] 3
57222bb (1 curve)	0	2+ 3- 11- 17-	2+ 3-  2  5 11- -1 17-  1
Curve Equation t 57222bb1 [1,-1,0,-148311,23524749] 1
57222bc (1 curve)	0	2+ 3- 11- 17-	2+ 3- -2  1 11-  7 17- -7
Curve Equation t 57222bc1 [1,-1,0,-12183965793,-517805967176451] 1
57222bd (1 curve)	0	2+ 3- 11- 17-	2+ 3- -2 -2 11-  1 17-  5
Curve Equation t 57222bd1 [1,-1,0,28557,18218709] 1
57222be (2 curves)	0	2- 3+ 11+ 17+	2- 3+  0 -4 11+  4 17+ -4
Curve Equation t 57222be1 [1,-1,1,-10025,-358139] 2 57222be2 [1,-1,1,-157415,-23999495] 2
57222bf (4 curves)	1	2- 3+ 11- 17+	2- 3+  0 -2 11-  2 17+  2
Curve Equation t Generators 57222bf1 [1,-1,1,-18695,953343] 2 [-21:1166:1] 57222bf2 [1,-1,1,-296135,62101119] 2 [323:-426:1] 57222bf3 [1,-1,1,-226775,-41226785] 2 [-259:418:1] 57222bf4 [1,-1,1,-382835,22882663] 2 [659:7184:1]
57222bg (2 curves)	1	2- 3- 11+ 17+	2- 3-  0  2 11+ -2 17+ -4
Curve Equation t Generators 57222bg1 [1,-1,1,-83720,1086283] 2 [-259:2441:1] 57222bg2 [1,-1,1,332440,8410699] 2 [47:4889:1]
57222bh (4 curves)	1	2- 3- 11+ 17+	2- 3-  0 -2 11+ -4 17+ -4
Curve Equation t Generators 57222bh1 [1,-1,1,-14360,-621129] 2 [1577:61635:1] 57222bh2 [1,-1,1,11650,-2639505] 2 [1150:10707:8] 57222bh3 [1,-1,1,-209435,36802059] 2 [353:-2778:1] 57222bh4 [1,-1,1,-105395,73299291] 2 [149:-7878:1]
57222bi (2 curves)	1	2- 3- 11+ 17+	2- 3-  2  2 11+  0 17+ -2
Curve Equation t Generators 57222bi1 [1,-1,1,-688019,11030195] 2 [13:1438:1] 57222bi2 [1,-1,1,-7762739,8305431923] 2 [2631:76714:1]
57222bj (2 curves)	1	2- 3- 11+ 17+	2- 3- -2  4 11+  0 17+ -2
Curve Equation t Generators 57222bj1 [1,-1,1,-303071,-62264829] 2 [18110355737120:-6083204585459247:160989184] 57222bj2 [1,-1,1,-745241,161473191] 2 [28478774:33987225:39304]
57222bk (2 curves)	1	2- 3- 11+ 17+	2- 3- -2 -4 11+  0 17+  6
Curve Equation t Generators 57222bk1 [1,-1,1,-26751416,53177151291] 2 [3245:21417:1] 57222bk2 [1,-1,1,-427831736,3406208626491] 2 [12941:185193:1]
57222bl (1 curve)	1	2- 3- 11+ 17+	2- 3-  3  2 11+ -2 17+ -4
Curve Equation t Generators 57222bl1 [1,-1,1,-9140861,10919735749] 1 [-529:125192:1]
57222bm (2 curves)	1	2- 3- 11+ 17+	2- 3-  3 -2 11+  2 17+ -4
Curve Equation t Generators 57222bm1 [1,-1,1,-131,-561] 1 [19626:174821:216] 57222bm2 [1,-1,1,634,-2091] 1 [21:131:1]
57222bn (2 curves)	0	2- 3- 11+ 17-	2- 3-  0  2 11+  5 17- -1
Curve Equation t 57222bn1 [1,-1,1,-1355,43571] 1 57222bn2 [1,-1,1,-144410,21158489] 3
57222bo (1 curve)	0	2- 3- 11+ 17-	2- 3- -2 -2 11+  3 17- -5
Curve Equation t 57222bo1 [1,-1,1,-4282601,3412660767] 1
57222bp (2 curves)	0	2- 3- 11- 17+	2- 3-  0 -2 11-  5 17+ -1
Curve Equation t 57222bp1 [1,-1,1,-391505,212499609] 1 57222bp2 [1,-1,1,-41734400,103784720163] 1
57222bq (1 curve)	0	2- 3- 11- 17+	2- 3-  2  2 11-  3 17+ -5
Curve Equation t 57222bq1 [1,-1,1,-14819,698105] 1
57222br (2 curves)	0	2- 3- 11- 17+	2- 3-  2  4 11-  0 17+  6
Curve Equation t 57222br1 [1,-1,1,-7731159134,261228419657453] 2 57222br2 [1,-1,1,-123643371614,16734208408465133] 2
57222bs (2 curves)	0	2- 3- 11- 17+	2- 3-  2 -4 11-  0 17+ -2
Curve Equation t 57222bs1 [1,-1,1,-1049,-12427] 2 57222bs2 [1,-1,1,-2579,33473] 2
57222bt (4 curves)	0	2- 3- 11- 17+	2- 3-  2 -4 11-  6 17+  4
Curve Equation t 57222bt1 [1,-1,1,-21535034,34615790201] 2 57222bt2 [1,-1,1,-81670154,-246960895687] 4 57222bt3 [1,-1,1,133224466,-1327451045047] 2 57222bt4 [1,-1,1,-1258726694,-17188100264599] 2
57222bu (4 curves)	0	2- 3- 11- 17+	2- 3- -2  0 11-  2 17+ -4
Curve Equation t 57222bu1 [1,-1,1,-17339621,-20903272675] 2 57222bu2 [1,-1,1,-257880101,-1593749363299] 4 57222bu3 [1,-1,1,-238424621,-1844374856659] 2 57222bu4 [1,-1,1,-4125983261,-102008160155635] 2
57222bv (2 curves)	0	2- 3- 11- 17+	2- 3- -2  2 11-  0 17+  6
Curve Equation t 57222bv1 [1,-1,1,-1421501,-637933755] 2 57222bv2 [1,-1,1,-3190181,1267288341] 2
57222bw (2 curves)	1	2- 3- 11- 17-	2- 3- -3  2 11-  2 17- -4
Curve Equation t Generators 57222bw1 [1,-1,1,-37769,-2905963] 1 [228436919405010:-768080596051637:997002999000] 57222bw2 [1,-1,1,183316,-9538513] 3 [303174:1944793:5832]
57222bx (1 curve)	1	2- 3- 11- 17-	2- 3- -3 -2 11- -2 17- -4
Curve Equation t Generators 57222bx1 [1,-1,1,-2641708739,53638094901187] 1 [208091:92170642:1]

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