Cremona's table of elliptic curves

71568 = 2⁴ · 3² · 7 · 71

Class	r	Atkin-Lehner	Eigenvalues
71568a (1 curve)	1	2+ 3+ 7+ 71+	2+ 3+ -1 7+  1 -1 -2  0
Curve Equation t Generators 71568a1 [0,0,0,-783,18846] 1 [21:108:1]
71568b (1 curve)	1	2+ 3+ 7+ 71+	2+ 3+ -1 7+  3 -3  4  2
Curve Equation t Generators 71568b1 [0,0,0,837,-341766] 1 [75:378:1]
71568c (1 curve)	1	2+ 3+ 7+ 71+	2+ 3+  3 7+  1  1 -2  4
Curve Equation t Generators 71568c1 [0,0,0,-6,23] 1 [7:18:1]
71568d (1 curve)	0	2+ 3+ 7+ 71-	2+ 3+  1 7+ -1 -1  2  0
Curve Equation t 71568d1 [0,0,0,-87,-698] 1
71568e (1 curve)	2	2+ 3+ 7+ 71-	2+ 3+  1 7+ -3 -3 -4  2
Curve Equation t Generators 71568e1 [0,0,0,93,12658] 1 [-21:38:1]&[89:852:1]
71568f (1 curve)	0	2+ 3+ 7+ 71-	2+ 3+ -3 7+ -1  1  2  4
Curve Equation t 71568f1 [0,0,0,-54,-621] 1
71568g (1 curve)	2	2+ 3+ 7- 71+	2+ 3+ -3 7- -1 -1  0 -2
Curve Equation t Generators 71568g1 [0,0,0,-40179,3099906] 1 [-207:1596:1]&[115:-14:1]
71568h (1 curve)	1	2+ 3+ 7- 71-	2+ 3+  3 7-  1 -1  0 -2
Curve Equation t Generators 71568h1 [0,0,0,-361611,-83697462] 1 [747:7938:1]
71568i (2 curves)	2	2+ 3- 7+ 71+	2+ 3-  0 7+ -2 -2 -2 -2
Curve Equation t Generators 71568i1 [0,0,0,-1515,-22678] 2 [-22:2:1]&[139:1566:1] 71568i2 [0,0,0,-1875,-11086] 2 [-35:108:1]&[-25:142:1]
71568j (1 curve)	0	2+ 3- 7+ 71+	2+ 3-  1 7+ -3  3 -4 -4
Curve Equation t 71568j1 [0,0,0,-223527,-41529962] 1
71568k (4 curves)	0	2+ 3- 7+ 71+	2+ 3- -2 7+  0  2  2 -4
Curve Equation t 71568k1 [0,0,0,-13431,-599114] 2 71568k2 [0,0,0,-13611,-582230] 4 71568k3 [0,0,0,9069,-2328590] 2 71568k4 [0,0,0,-39171,2244706] 2
71568l (1 curve)	0	2+ 3- 7+ 71+	2+ 3- -3 7+ -3  1  0  8
Curve Equation t 71568l1 [0,0,0,-174,-1069] 1
71568m (1 curve)	1	2+ 3- 7+ 71-	2+ 3- -2 7+  0  0  8 -7
Curve Equation t Generators 71568m1 [0,0,0,-102891,26882746] 1 [215:3834:1]
71568n (1 curve)	1	2+ 3- 7- 71+	2+ 3- -1 7-  1  1 -4  8
Curve Equation t Generators 71568n1 [0,0,0,177,7166] 1 [13:108:1]
71568o (1 curve)	1	2+ 3- 7- 71+	2+ 3-  3 7-  3 -5  2 -6
Curve Equation t Generators 71568o1 [0,0,0,8709,-2100422] 1 [227:-3402:1]
71568p (1 curve)	1	2+ 3- 7- 71+	2+ 3-  3 7- -3  1  0 -4
Curve Equation t Generators 71568p1 [0,0,0,25449,1127558] 1 [517:12348:1]
71568q (2 curves)	0	2+ 3- 7- 71-	2+ 3-  0 7-  4  6 -4  8
Curve Equation t 71568q1 [0,0,0,-1515,32618] 2 71568q2 [0,0,0,-27075,1714466] 2
71568r (1 curve)	0	2+ 3- 7- 71-	2+ 3-  1 7-  5 -5  6  6
Curve Equation t 71568r1 [0,0,0,-507,-4678] 1
71568s (1 curve)	0	2+ 3- 7- 71-	2+ 3-  1 7- -5  1 -4 -4
Curve Equation t 71568s1 [0,0,0,-556527,-159800258] 1
71568t (4 curves)	0	2+ 3- 7- 71-	2+ 3- -2 7-  4 -2  2 -4
Curve Equation t 71568t1 [0,0,0,-58791,6027334] 2 71568t2 [0,0,0,-966171,365531290] 4 71568t3 [0,0,0,-991731,345170194] 2 71568t4 [0,0,0,-15458691,23394145570] 2
71568u (1 curve)	0	2+ 3- 7- 71-	2+ 3- -3 7- -5  3  0  0
Curve Equation t 71568u1 [0,0,0,-1087014,-439090801] 1
71568v (1 curve)	0	2+ 3- 7- 71-	2+ 3-  4 7- -2  4  2 -1
Curve Equation t 71568v1 [0,0,0,-3,-2270] 1
71568w (1 curve)	0	2- 3+ 7+ 71+	2- 3+ -1 7+ -1 -3  0  6
Curve Equation t 71568w1 [0,0,0,-18003,15687954] 1
71568x (1 curve)	1	2- 3+ 7+ 71-	2- 3+  1 7+  1 -3  0  6
Curve Equation t Generators 71568x1 [0,0,0,-162027,-423574758] 1 [58464171:2459621376:29791]
71568y (2 curves)	1	2- 3+ 7- 71+	2- 3+  0 7-  0 -6  4  0
Curve Equation t Generators 71568y1 [0,0,0,2640,162279] 2 [1333:48706:1] 71568y2 [0,0,0,-33375,2128698] 2 [66:462:1]
71568z (1 curve)	1	2- 3+ 7- 71+	2- 3+ -3 7-  3  3 -8  6
Curve Equation t Generators 71568z1 [0,0,0,141,306] 1 [9:-48:1]
71568ba (1 curve)	1	2- 3+ 7- 71+	2- 3+ -3 7- -5 -1 -4  2
Curve Equation t Generators 71568ba1 [0,0,0,-7899,-270454] 1 [157:1536:1]
71568bb (2 curves)	0	2- 3+ 7- 71-	2- 3+  0 7-  0 -6 -4  0
Curve Equation t 71568bb1 [0,0,0,23760,-4381533] 2 71568bb2 [0,0,0,-300375,-57474846] 2
71568bc (1 curve)	0	2- 3+ 7- 71-	2- 3+  3 7- -3  3  8  6
Curve Equation t 71568bc1 [0,0,0,1269,-8262] 1
71568bd (1 curve)	0	2- 3+ 7- 71-	2- 3+  3 7-  5 -1  4  2
Curve Equation t 71568bd1 [0,0,0,-71091,7302258] 1
71568be (4 curves)	1	2- 3- 7+ 71+	2- 3-  0 7+  0  2  0 -8
Curve Equation t Generators 71568be1 [0,0,0,-994755,-1558767166] 2 [4282690939498405:-358924124203536384:595460100997] 71568be2 [0,0,0,-27168195,-54361065022] 2 [-16936124917:-61712735616:5735339] 71568be3 [0,0,0,-137437635,-620166980158] 2 [795929895184718614806117216521171893444787:19223140580556497254099050709126816812324672:57677882138122502873623165556449065299] 71568be4 [0,0,0,-2199004995,-39690579273406] 2 [-84328528199788799767619735:-695669477609610490896:3114741328720178537017]
71568bf (2 curves)	1	2- 3- 7+ 71+	2- 3-  0 7+  6 -4  6  1
Curve Equation t Generators 71568bf1 [0,0,0,-1515,192026] 1 [37:-432:1] 71568bf2 [0,0,0,13605,-5121142] 1 [541:12672:1]
71568bg (4 curves)	1	2- 3- 7+ 71+	2- 3-  0 7+ -6  2  6 -2
Curve Equation t Generators 71568bg1 [0,0,0,-97635,-9682846] 2 [-108920:618649:512] 71568bg2 [0,0,0,-466275,113664098] 2 [-658:11644:1] 71568bg3 [0,0,0,-7516515,-7931820958] 2 [-86690662125154436104:185735009562886199:54771558946872832] 71568bg4 [0,0,0,-7522275,-7919055646] 2 [-5084620364:-14790332907:3241792]
71568bh (1 curve)	1	2- 3- 7+ 71+	2- 3- -1 7+  3  5 -2 -6
Curve Equation t Generators 71568bh1 [0,0,0,-948,-14929] 1 [26719:212526:343]
71568bi (1 curve)	1	2- 3- 7+ 71+	2- 3- -1 7+ -5  3 -6 -2
Curve Equation t Generators 71568bi1 [0,0,0,492,331] 1 [5:54:1]
71568bj (4 curves)	1	2- 3- 7+ 71+	2- 3-  2 7+  0  2  6  4
Curve Equation t Generators 71568bj1 [0,0,0,44781,-14616110] 2 [33955:524286:125] 71568bj2 [0,0,0,-692499,-205571630] 4 [-190712865:-1560779510:389017] 71568bj3 [0,0,0,-2328339,1129600978] 2 [11609:1240416:1] 71568bj4 [0,0,0,-10853139,-13761897518] 2 [698136879018755:-13094867476768446:176086820125]
71568bk (2 curves)	1	2- 3- 7+ 71+	2- 3-  2 7+  4  0  0 -2
Curve Equation t Generators 71568bk1 [0,0,0,-53499,-5073878] 2 [193175479:646739082:704969] 71568bk2 [0,0,0,-871419,-313102550] 2 [2405208874564281:-435833073165260650:73191996487]
71568bl (4 curves)	1	2- 3- 7+ 71+	2- 3-  2 7+ -4 -6 -6  0
Curve Equation t Generators 71568bl1 [0,0,0,-2259,-28782] 2 [-14:10:1] 71568bl2 [0,0,0,-13779,600210] 4 [7:710:1] 71568bl3 [0,0,0,6381,2208978] 2 [111:2070:1] 71568bl4 [0,0,0,-218259,39246930] 2 [295:730:1]
71568bm (2 curves)	1	2- 3- 7+ 71+	2- 3- -3 7+  3 -7 -6 -2
Curve Equation t Generators 71568bm1 [0,0,0,-7059,-585646] 1 [121:576:1] 71568bm2 [0,0,0,-793299,-271959406] 1 [2137:88272:1]
71568bn (2 curves)	1	2- 3- 7+ 71+	2- 3- -4 7+  0  2  4  0
Curve Equation t Generators 71568bn1 [0,0,0,-6627,227810] 2 [47:-142:1] 71568bn2 [0,0,0,-108867,13825730] 2 [169:504:1]
71568bo (1 curve)	0	2- 3- 7+ 71-	2- 3-  0 7+  1 -3  2  4
Curve Equation t 71568bo1 [0,0,0,3525,-41942] 1
71568bp (1 curve)	0	2- 3- 7+ 71-	2- 3-  0 7+  2  4  6 -1
Curve Equation t 71568bp1 [0,0,0,-1239195,531139786] 1
71568bq (2 curves)	0	2- 3- 7+ 71-	2- 3-  0 7+ -3 -1  6  4
Curve Equation t 71568bq1 [0,0,0,23685,1569962] 1 71568bq2 [0,0,0,-231915,-68351974] 1
71568br (2 curves)	0	2- 3- 7+ 71-	2- 3-  2 7+ -6  4 -6  4
Curve Equation t 71568br1 [0,0,0,-113979,19517290] 2 71568br2 [0,0,0,-1980219,1072449898] 2
71568bs (1 curve)	0	2- 3- 7+ 71-	2- 3- -3 7+  5  1  6  2
Curve Equation t 71568bs1 [0,0,0,2076,-32429] 1
71568bt (1 curve)	0	2- 3- 7- 71+	2- 3-  0 7- -2 -4  6  5
Curve Equation t 71568bt1 [0,0,0,-29235,4814066] 1
71568bu (1 curve)	0	2- 3- 7- 71+	2- 3-  0 7- -5  5  2 -4
Curve Equation t 71568bu1 [0,0,0,-75,7418] 1
71568bv (1 curve)	0	2- 3- 7- 71+	2- 3-  2 7- -4  0 -4  3
Curve Equation t 71568bv1 [0,0,0,25341,-3121918] 1
71568bw (2 curves)	0	2- 3- 7- 71+	2- 3- -4 7-  2  6  2  6
Curve Equation t 71568bw1 [0,0,0,-1587,24050] 2 71568bw2 [0,0,0,-3027,-26350] 2
71568bx (1 curve)	1	2- 3- 7- 71-	2- 3-  1 7-  1  3 -2  6
Curve Equation t Generators 71568bx1 [0,0,0,-30747,2139338] 1 [109:288:1]
71568by (1 curve)	1	2- 3- 7- 71-	2- 3- -1 7- -3 -3 -6  2
Curve Equation t Generators 71568by1 [0,0,0,-1308,-18209] 1 [65:414:1]
71568bz (1 curve)	1	2- 3- 7- 71-	2- 3-  2 7-  0  0  0 -7
Curve Equation t Generators 71568bz1 [0,0,0,-10659,425122] 1 [71:162:1]
71568ca (2 curves)	1	2- 3- 7- 71-	2- 3-  2 7-  2 -4  2 -4
Curve Equation t Generators 71568ca1 [0,0,0,2661,792650] 2 [-67:560:1] 71568ca2 [0,0,0,-113979,14346218] 2 [-331:3976:1]
71568cb (2 curves)	1	2- 3- 7- 71-	2- 3- -2 7-  4  0  4 -6
Curve Equation t Generators 71568cb1 [0,0,0,36789,-1411846] 2 [55:882:1] 71568cb2 [0,0,0,-167691,-12003910] 2 [-137:2898:1]
71568cc (1 curve)	1	2- 3- 7- 71-	2- 3- -2 7- -5 -3 -2  0
Curve Equation t Generators 71568cc1 [0,0,0,-111,-646] 1 [194:2698:1]

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