Cremona's table of elliptic curves

71050 = 2 · 5² · 7² · 29

Class	r	Atkin-Lehner	Eigenvalues
71050a (1 curve)	1	2+ 5+ 7+ 29+	2+  0 5+ 7+  4 -3  7  0
Curve Equation t Generators 71050a1 [1,-1,0,-32692,28623216] 1 [-61:5543:1]
71050b (2 curves)	1	2+ 5+ 7+ 29+	2+ -1 5+ 7+  0  4  0  5
Curve Equation t Generators 71050b1 [1,1,0,-270,820] 1 [1:23:1] 71050b2 [1,1,0,-10070,-393140] 1 [-402781:224397:6859]
71050c (1 curve)	0	2+ 5+ 7+ 29-	2+  0 5+ 7+  1  0 -5  0
Curve Equation t 71050c1 [1,-1,0,-149562317,-703977939659] 1
71050d (1 curve)	0	2+ 5+ 7+ 29-	2+  0 5+ 7+  1  5  0  5
Curve Equation t 71050d1 [1,-1,0,-118442,26393716] 1
71050e (1 curve)	0	2+ 5+ 7+ 29-	2+  0 5+ 7+ -3  0  3  8
Curve Equation t 71050e1 [1,-1,0,10183,-574659] 1
71050f (1 curve)	0	2+ 5+ 7+ 29-	2+  0 5+ 7+ -6  0  3 -4
Curve Equation t 71050f1 [1,-1,0,-68881367,9683824541] 1
71050g (2 curves)	0	2+ 5+ 7+ 29-	2+  2 5+ 7+ -3 -2 -3 -4
Curve Equation t 71050g1 [1,1,0,496100,999690000] 1 71050g2 [1,1,0,-4477400,-27413915500] 1
71050h (1 curve)	0	2+ 5+ 7+ 29-	2+ -2 5+ 7+ -1 -2  1 -4
Curve Equation t 71050h1 [1,0,1,-1261776,-556872802] 1
71050i (1 curve)	0	2+ 5+ 7+ 29-	2+ -3 5+ 7+  4  0 -2  3
Curve Equation t 71050i1 [1,-1,0,-3068242,-2043131084] 1
71050j (1 curve)	0	2+ 5+ 7- 29+	2+  0 5+ 7- -2  0  2  0
Curve Equation t 71050j1 [1,-1,0,-1681787,956314981] 1
71050k (1 curve)	0	2+ 5+ 7- 29+	2+  0 5+ 7-  4  3 -7  0
Curve Equation t 71050k1 [1,-1,0,-667,-83259] 1
71050l (2 curves)	0	2+ 5+ 7- 29+	2+  1 5+ 7-  0 -4  0 -5
Curve Equation t 71050l1 [1,0,1,-13256,-321002] 1 71050l2 [1,0,1,-493456,133366678] 1
71050m (2 curves)	0	2+ 5+ 7- 29+	2+  1 5+ 7- -3 -4  3  7
Curve Equation t 71050m1 [1,0,1,-20851,-1161842] 1 71050m2 [1,0,1,28149,-5391522] 1
71050n (2 curves)	0	2+ 5+ 7- 29+	2+ -1 5+ 7- -3 -1  8  0
Curve Equation t 71050n1 [1,1,0,6100,-302000] 1 71050n2 [1,1,0,-557400,161030500] 1
71050o (4 curves)	0	2+ 5+ 7- 29+	2+ -2 5+ 7-  0  2  0 -2
Curve Equation t 71050o1 [1,0,1,2033474,598118448] 2 71050o2 [1,0,1,-9334526,5099846448] 2 71050o3 [1,0,1,-39616526,97765118448] 2 71050o4 [1,0,1,-637147026,6190186096448] 2
71050p (2 curves)	0	2+ 5+ 7- 29+	2+ -2 5+ 7- -6  2 -6 -2
Curve Equation t 71050p1 [1,0,1,14674,387048] 1 71050p2 [1,0,1,-291576,61637048] 1
71050q (1 curve)	1	2+ 5+ 7- 29-	2+  0 5+ 7-  1  0  5  0
Curve Equation t Generators 71050q1 [1,-1,0,-7328553542,241479090410116] 1 [17175312:77506094:343]
71050r (1 curve)	1	2+ 5+ 7- 29-	2+  0 5+ 7-  1 -5  0 -5
Curve Equation t Generators 71050r1 [1,-1,0,-2417,-76259] 1 [339:5993:1]
71050s (1 curve)	1	2+ 5+ 7- 29-	2+  0 5+ 7- -3  0 -3 -8
Curve Equation t Generators 71050s1 [1,-1,0,208,1616] 1 [4:-52:1]
71050t (1 curve)	1	2+ 5+ 7- 29-	2+  0 5+ 7- -6  0 -3  4
Curve Equation t Generators 71050t1 [1,-1,0,-1405742,-27831084] 1 [3035:152284:1]
71050u (2 curves)	1	2+ 5+ 7- 29-	2+  1 5+ 7-  0 -4 -3 -5
Curve Equation t Generators 71050u1 [1,0,1,-1087826,468704548] 1 [613:5377:1] 71050u2 [1,0,1,-89900326,328080254548] 1 [147801:-73571:27]
71050v (1 curve)	1	2+ 5+ 7- 29-	2+ -1 5+ 7- -1 -1 -4  4
Curve Equation t Generators 71050v1 [1,1,0,-124975,-17102875] 1 [8126:727801:1]
71050w (1 curve)	1	2+ 5+ 7- 29-	2+  2 5+ 7- -1  2 -1  4
Curve Equation t Generators 71050w1 [1,1,0,-25750,1612500] 1 [2100:-9050:27]
71050x (2 curves)	1	2+ 5+ 7- 29-	2+ -2 5+ 7- -3  2  3  4
Curve Equation t Generators 71050x1 [1,0,1,10124,-2913102] 1 [1737:71631:1] 71050x2 [1,0,1,-91376,79910898] 1 [47109:1929557:27]
71050y (1 curve)	1	2+ 5+ 7- 29-	2+  3 5+ 7-  4  0  2 -3
Curve Equation t Generators 71050y1 [1,-1,0,-62617,5974541] 1 [-7179:56036:27]
71050z (1 curve)	1	2+ 5+ 7- 29-	2+ -3 5+ 7- -3  0  3 -5
Curve Equation t Generators 71050z1 [1,-1,0,1118,662836] 1 [-47:734:1]
71050ba (1 curve)	0	2+ 5- 7+ 29+	2+  1 5- 7+  4  0 -6  1
Curve Equation t 71050ba1 [1,0,1,-695826,223349298] 1
71050bb (1 curve)	0	2+ 5- 7+ 29+	2+ -2 5- 7+  4  2  1 -4
Curve Equation t 71050bb1 [1,0,1,-64951,6120048] 1
71050bc (1 curve)	1	2+ 5- 7+ 29-	2+  2 5- 7+  2 -2  7  6
Curve Equation t Generators 71050bc1 [1,1,0,-18400,-961050] 1 [300867:8653140:343]
71050bd (1 curve)	1	2+ 5- 7- 29+	2+ -1 5- 7- -2 -2 -7 -5
Curve Equation t Generators 71050bd1 [1,1,0,8550,506500] 1 [160:-2530:1]
71050be (1 curve)	1	2+ 5- 7- 29+	2+ -1 5- 7-  4  0  6 -1
Curve Equation t Generators 71050be1 [1,1,0,-14200,-657250] 1 [-4107831:2132437:59319]
71050bf (1 curve)	1	2+ 5- 7- 29+	2+  2 5- 7-  4 -2 -1  4
Curve Equation t Generators 71050bf1 [1,1,0,-3182575,-2102359125] 1 [-7928985:43702830:6859]
71050bg (1 curve)	0	2+ 5- 7- 29-	2+  0 5- 7- -2 -4 -6  8
Curve Equation t 71050bg1 [1,-1,0,-48617,-4161459] 1
71050bh (1 curve)	2	2+ 5- 7- 29-	2+ -2 5- 7-  2  2 -7 -6
Curve Equation t Generators 71050bh1 [1,0,1,-376,2748] 1 [-114:633:8]&[-8:76:1]
71050bi (1 curve)	0	2+ 5- 7- 29-	2+ -3 5- 7-  4 -4 -3  1
Curve Equation t 71050bi1 [1,-1,0,-936742,-356747084] 1
71050bj (1 curve)	0	2- 5+ 7+ 29+	2- -1 5+ 7+  4  0  6  1
Curve Equation t 71050bj1 [1,1,1,-27833,1775661] 1
71050bk (1 curve)	0	2- 5+ 7+ 29+	2-  2 5+ 7+  4 -2 -1 -4
Curve Equation t 71050bk1 [1,1,1,-2598,47921] 1
71050bl (1 curve)	1	2- 5+ 7+ 29-	2-  0 5+ 7+  4  5 -3 -4
Curve Equation t Generators 71050bl1 [1,-1,1,-78630,-8701003] 1 [339:1705:1]
71050bm (1 curve)	1	2- 5+ 7+ 29-	2- -2 5+ 7+ -1  5  2  3
Curve Equation t Generators 71050bm1 [1,0,0,124312,76544992] 1 [172:-10236:1]
71050bn (1 curve)	1	2- 5+ 7+ 29-	2- -2 5+ 7+  2  2 -7  6
Curve Equation t Generators 71050bn1 [1,0,0,-460013,-119211233] 1 [114398:13607137:8]
71050bo (2 curves)	1	2- 5+ 7- 29+	2-  0 5+ 7-  0  2  2 -4
Curve Equation t Generators 71050bo1 [1,-1,1,-1105,162397] 2 [163:1990:1] 71050bo2 [1,-1,1,-51855,4526897] 2 [13332:99085:64]
71050bp (2 curves)	1	2- 5+ 7- 29+	2-  0 5+ 7-  0 -2 -2  4
Curve Equation t Generators 71050bp1 [1,-1,1,-54130,-55594003] 2 [1720616977105:90594677775733:603351125] 71050bp2 [1,-1,1,-2540880,-1547644003] 2 [7386250400046002051060:331509828389085130387351:2416137362026856000]
71050bq (2 curves)	1	2- 5+ 7- 29+	2-  0 5+ 7-  2 -6  2  2
Curve Equation t Generators 71050bq1 [1,-1,1,-85980,9519647] 2 [129:685:1] 71050bq2 [1,-1,1,12020,29903647] 2 [1109:36945:1]
71050br (2 curves)	1	2- 5+ 7- 29+	2-  0 5+ 7- -4  0 -4 -4
Curve Equation t Generators 71050br1 [1,-1,1,-370180,-93566553] 2 [909:17445:1] 71050br2 [1,-1,1,-6054180,-5732094553] 2 [6593:-494115:1]
71050bs (1 curve)	1	2- 5+ 7- 29+	2-  1 5+ 7- -2  2  7 -5
Curve Equation t Generators 71050bs1 [1,0,0,342,4052] 1 [46:320:1]
71050bt (1 curve)	1	2- 5+ 7- 29+	2-  1 5+ 7-  4  0 -6 -1
Curve Equation t Generators 71050bt1 [1,0,0,-568,-5258] 1 [-969341652:488786125:69934528]
71050bu (2 curves)	1	2- 5+ 7- 29+	2-  2 5+ 7-  4 -2 -4 -2
Curve Equation t Generators 71050bu1 [1,1,1,-2602538,2558847031] 2 [6089:457947:1] 71050bu2 [1,1,1,-48074538,128243455031] 2 [3555:45997:1]
71050bv (1 curve)	1	2- 5+ 7- 29+	2- -2 5+ 7-  4  2  1  4
Curve Equation t Generators 71050bv1 [1,0,0,-127303,-16818873] 1 [-702414364:2870176335:3241792]
71050bw (1 curve)	1	2- 5+ 7- 29+	2- -3 5+ 7- -1  3 -4  8
Curve Equation t Generators 71050bw1 [1,-1,1,-1455,-30453] 1 [555:12756:1]
71050bx (4 curves)	0	2- 5+ 7- 29-	2-  0 5+ 7-  0 -2  2 -4
Curve Equation t 71050bx1 [1,-1,1,19370,-175003] 4 71050bx2 [1,-1,1,-78630,-1351003] 4 71050bx3 [1,-1,1,-789130,268638997] 2 71050bx4 [1,-1,1,-936130,-347781003] 2
71050by (1 curve)	0	2- 5+ 7- 29-	2-  0 5+ 7- -2  4  6  8
Curve Equation t 71050by1 [1,-1,1,-1945,-32903] 1
71050bz (1 curve)	0	2- 5+ 7- 29-	2-  0 5+ 7-  4 -5  3  4
Curve Equation t 71050bz1 [1,-1,1,-3852855,2992149647] 1
71050ca (2 curves)	0	2- 5+ 7- 29-	2-  1 5+ 7- -3 -1  0  4
Curve Equation t 71050ca1 [1,0,0,-17788,-9067808] 1 71050ca2 [1,0,0,159837,242626817] 1
71050cb (1 curve)	0	2- 5+ 7- 29-	2-  2 5+ 7- -1 -5 -2 -3
Curve Equation t 71050cb1 [1,1,1,6091287,-26248840969] 1
71050cc (1 curve)	0	2- 5+ 7- 29-	2-  2 5+ 7-  2 -2  7 -6
Curve Equation t 71050cc1 [1,1,1,-9388,343531] 1
71050cd (1 curve)	0	2- 5+ 7- 29-	2-  3 5+ 7-  4  4  3  1
Curve Equation t 71050cd1 [1,-1,1,-37470,-2846483] 1
71050ce (2 curves)	1	2- 5- 7+ 29+	2-  1 5- 7+  0 -4  0  5
Curve Equation t Generators 71050ce1 [1,0,0,-6763,116017] 3 [-48:599:1] 71050ce2 [1,0,0,-251763,-48638983] 1 [-7764:4135:27]
71050cf (1 curve)	2	2- 5- 7+ 29-	2-  0 5- 7+ -6  0 -3 -4
Curve Equation t Generators 71050cf1 [1,-1,1,-2755255,78021647] 1 [-1041:43150:1]&[-1261:39950:1]
71050cg (1 curve)	0	2- 5- 7+ 29-	2-  3 5- 7+  4  0  2  3
Curve Equation t 71050cg1 [1,-1,1,-122730,-16320503] 1
71050ch (1 curve)	0	2- 5- 7- 29+	2-  0 5- 7- -2  0 -2  0
Curve Equation t 71050ch1 [1,-1,1,-42044680,119497327947] 1
71050ci (2 curves)	0	2- 5- 7- 29+	2- -1 5- 7-  0  4  0 -5
Curve Equation t 71050ci1 [1,1,1,-331388,-40125219] 1 71050ci2 [1,1,1,-12336388,16670834781] 1
71050cj (2 curves)	0	2- 5- 7- 29+	2- -1 5- 7- -3  4 -3  7
Curve Equation t 71050cj1 [1,1,1,-521263,-145230219] 1 71050cj2 [1,1,1,703737,-673940219] 1
71050ck (2 curves)	0	2- 5- 7- 29+	2-  2 5- 7- -6 -2  6 -2
Curve Equation t 71050ck1 [1,1,1,587,3331] 1 71050ck2 [1,1,1,-11663,488431] 1
71050cl (1 curve)	1	2- 5- 7- 29-	2-  0 5- 7- -6  0  3  4
Curve Equation t Generators 71050cl1 [1,-1,1,-56230,-211403] 1 [265:1723:1]
71050cm (2 curves)	1	2- 5- 7- 29-	2- -1 5- 7-  0  4  3 -5
Curve Equation t Generators 71050cm1 [1,1,1,-43513,3732231] 1 [41:1400:1] 71050cm2 [1,1,1,-3596013,2623203631] 1 [1091:-350:1]
71050cn (1 curve)	1	2- 5- 7- 29-	2-  3 5- 7- -3  0 -3 -5
Curve Equation t Generators 71050cn1 [1,-1,1,27945,82882447] 1 [-10635:93406:27]
71050co (1 curve)	1	2- 5- 7- 29-	2- -3 5- 7-  4  0 -2 -3
Curve Equation t Generators 71050co1 [1,-1,1,-2505,48297] 1 [25:16:1]

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