Cremona's table of elliptic curves

71910 = 2 · 3² · 5 · 17 · 47

Class	r	Atkin-Lehner	Eigenvalues
71910a (4 curves)	1	2+ 3+ 5- 17- 47+	2+ 3+ 5- -4  0  2 17-  2
Curve Equation t Generators 71910a1 [1,-1,0,-20019,1028133] 6 [7:939:1] 71910a2 [1,-1,0,-314799,68061105] 6 [-519:9822:1] 71910a3 [1,-1,0,-301794,-63518572] 2 [-4390824:-4278055:13824] 71910a4 [1,-1,0,-448674,4839380] 2 [-4402:75911:8]
71910b (2 curves)	2	2+ 3+ 5- 17- 47-	2+ 3+ 5- -2 -6 -4 17- -4
Curve Equation t Generators 71910b1 [1,-1,0,1011,-410095] 2 [124:-1331:1]&[104:849:1] 71910b2 [1,-1,0,-77019,-8010217] 2 [-151:475:1]&[563:10981:1]
71910c (4 curves)	0	2+ 3- 5+ 17+ 47+	2+ 3- 5+ -4  0 -2 17+  4
Curve Equation t 71910c1 [1,-1,0,39330,-6113084] 2 71910c2 [1,-1,0,-358290,-70448000] 4 71910c3 [1,-1,0,-1580760,697018666] 2 71910c4 [1,-1,0,-5497740,-4960120730] 2
71910d (4 curves)	1	2+ 3- 5+ 17+ 47-	2+ 3- 5+  0  0 -2 17+  0
Curve Equation t Generators 71910d1 [1,-1,0,-10107180,-12388042800] 2 [218677560:28712623020:12167] 71910d2 [1,-1,0,-161797500,-792106625664] 4 [15297838045837233:1528247509014829821:761298595091] 71910d3 [1,-1,0,-161880120,-791257110300] 2 [-1059011391:-1966047312:148877] 71910d4 [1,-1,0,-2588760000,-50696765728164] 2 [311796482788273174315945606005:-89503185631842916363886771489259:2837725220711335933923875]
71910e (2 curves)	1	2+ 3- 5+ 17+ 47-	2+ 3- 5+  0  0  4 17+ -6
Curve Equation t Generators 71910e1 [1,-1,0,0,1836] 2 [6:42:1] 71910e2 [1,-1,0,-2250,40986] 2 [13:111:1]
71910f (6 curves)	1	2+ 3- 5+ 17+ 47-	2+ 3- 5+  0  4 -2 17+ -4
Curve Equation t Generators 71910f1 [1,-1,0,21420,-1911600] 2 [19731:532561:27] 71910f2 [1,-1,0,-162900,-20380464] 4 [2955:157566:1] 71910f3 [1,-1,0,-810900,263054736] 4 [-327:22371:1] 71910f4 [1,-1,0,-2464020,-1488034800] 2 [-32494935:7057780:35937] 71910f5 [1,-1,0,749700,1153533096] 2 [59169:3086210:27] 71910f6 [1,-1,0,-12739500,17504653176] 2 [3057:82860:1]
71910g (4 curves)	1	2+ 3- 5+ 17+ 47-	2+ 3- 5+  0  4 -6 17+  0
Curve Equation t Generators 71910g1 [1,-1,0,-7350,-257500] 2 [21320:220802:125] 71910g2 [1,-1,0,-119850,-15940000] 4 [682:14464:1] 71910g3 [1,-1,0,-122100,-15308650] 2 [-175:910:1] 71910g4 [1,-1,0,-1917600,-1021601350] 2 [1957:51154:1]
71910h (2 curves)	1	2+ 3- 5+ 17- 47+	2+ 3- 5+  2 -2  2 17-  4
Curve Equation t Generators 71910h1 [1,-1,0,-17235,1015861] 2 [71:347:1] 71910h2 [1,-1,0,-287955,59545525] 2 [347:-1321:1]
71910i (2 curves)	1	2+ 3- 5+ 17- 47+	2+ 3- 5+ -2 -2 -2 17-  0
Curve Equation t Generators 71910i1 [1,-1,0,-1845,4725] 2 [-30:195:1] 71910i2 [1,-1,0,-18765,-980019] 2 [-77:101:1]
71910j (1 curve)	0	2+ 3- 5+ 17- 47-	2+ 3- 5+  1  5  3 17- -3
Curve Equation t 71910j1 [1,-1,0,-1455975,-640191875] 1
71910k (2 curves)	2	2+ 3- 5+ 17- 47-	2+ 3- 5+ -2 -4 -2 17-  2
Curve Equation t Generators 71910k1 [1,-1,0,-540,1296] 2 [-15:84:1]&[-90:657:8] 71910k2 [1,-1,0,-6660,210600] 2 [-690:3315:8]&[-57:663:1]
71910l (4 curves)	0	2+ 3- 5- 17+ 47-	2+ 3- 5-  0 -4  2 17+ -4
Curve Equation t 71910l1 [1,-1,0,-115677594,-654323229900] 2 71910l2 [1,-1,0,-2033342874,-35286207587532] 4 71910l3 [1,-1,0,-2216942874,-28534170707532] 2 71910l4 [1,-1,0,-32532387354,-2258501855339340] 2
71910m (4 curves)	0	2+ 3- 5- 17+ 47-	2+ 3- 5- -4  0 -4 17+  2
Curve Equation t 71910m1 [1,-1,0,4896,-7990272] 2 71910m2 [1,-1,0,-571104,-162473472] 2 71910m3 [1,-1,0,-44064,215766720] 6 71910m4 [1,-1,0,-5669064,5133141720] 6
71910n (2 curves)	0	2+ 3- 5- 17- 47+	2+ 3- 5-  2  0  0 17-  0
Curve Equation t 71910n1 [1,-1,0,4581,46885] 2 71910n2 [1,-1,0,-19899,404293] 2
71910o (2 curves)	1	2+ 3- 5- 17- 47-	2+ 3- 5-  2  2 -6 17-  4
Curve Equation t Generators 71910o1 [1,-1,0,-4777659,-4015243035] 2 [-1812356112:923691021:1404928] 71910o2 [1,-1,0,-5860539,-2058912027] 2 [-2874:2697:8]
71910p (2 curves)	1	2+ 3- 5- 17- 47-	2+ 3- 5-  2 -6  2 17-  4
Curve Equation t Generators 71910p1 [1,-1,0,-2274,-39232] 2 [-23:34:1] 71910p2 [1,-1,0,-6504,152810] 2 [-29:577:1]
71910q (2 curves)	1	2+ 3- 5- 17- 47-	2+ 3- 5- -2  2  6 17-  0
Curve Equation t Generators 71910q1 [1,-1,0,34371981,109700641525] 2 [-1129:264107:1] 71910q2 [1,-1,0,-242845299,1138343080693] 2 [-13123:1443614:1]
71910r (2 curves)	1	2+ 3- 5- 17- 47-	2+ 3- 5- -2 -4 -6 17-  6
Curve Equation t Generators 71910r1 [1,-1,0,-29844,-1976900] 2 [-99:52:1] 71910r2 [1,-1,0,-31374,-1761782] 2 [-103:659:1]
71910s (2 curves)	1	2+ 3- 5- 17- 47-	2+ 3- 5- -2  6  2 17-  0
Curve Equation t Generators 71910s1 [1,-1,0,-183609,126727213] 2 [177:-10076:1] 71910s2 [1,-1,0,-5073489,4387768645] 2 [-1489:93692:1]
71910t (2 curves)	1	2+ 3- 5- 17- 47-	2+ 3- 5- -2 -6 -2 17- -8
Curve Equation t Generators 71910t1 [1,-1,0,531,6385] 2 [-1:77:1] 71910t2 [1,-1,0,-3699,68143] 2 [-43:404:1]
71910u (2 curves)	0	2- 3+ 5+ 17+ 47+	2- 3+ 5+ -2  6 -4 17+ -4
Curve Equation t 71910u1 [1,-1,1,112,15151] 2 71910u2 [1,-1,1,-8558,299527] 2
71910v (4 curves)	1	2- 3+ 5+ 17+ 47-	2- 3+ 5+ -4  0  2 17+  2
Curve Equation t Generators 71910v1 [1,-1,1,-33533,2363717] 6 [145:658:1] 71910v2 [1,-1,1,-49853,-162619] 6 [241:1212:1] 71910v3 [1,-1,1,-180173,-27579419] 2 [82745:1452772:125] 71910v4 [1,-1,1,-2833193,-1834816643] 2 [336677355:-17960380462:91125]
71910w (2 curves)	1	2- 3- 5+ 17+ 47+	2- 3- 5+  2 -4 -2 17+  2
Curve Equation t Generators 71910w1 [1,-1,1,-30668,1807467] 2 [35400:42697:512] 71910w2 [1,-1,1,-472838,125261331] 2 [2814:10903:8]
71910x (2 curves)	1	2- 3- 5+ 17+ 47+	2- 3- 5+ -2  2  6 17+  0
Curve Equation t Generators 71910x1 [1,-1,1,-75803,-10098169] 2 [55823589:1308234172:79507] 71910x2 [1,-1,1,-1298273,-569011453] 2 [861152521260:-8314349234419:636056000]
71910y (1 curve)	1	2- 3- 5+ 17+ 47+	2- 3- 5+ -5  3 -1 17+ -1
Curve Equation t Generators 71910y1 [1,-1,1,-5438,-149219] 1 [-37:35:1]
71910z (2 curves)	2	2- 3- 5+ 17- 47+	2- 3- 5+ -4 -4 -2 17- -4
Curve Equation t Generators 71910z1 [1,-1,1,-18518,691557] 2 [-147:543:1]&[-1130:6069:8] 71910z2 [1,-1,1,49162,4535781] 2 [-75:687:1]&[-43:1551:1]
71910ba (2 curves)	1	2- 3- 5+ 17- 47-	2- 3- 5+  0  0  4 17-  6
Curve Equation t Generators 71910ba1 [1,-1,1,-453803,133585787] 2 [945:22936:1] 71910ba2 [1,-1,1,-7528523,7952566331] 2 [1285:19332:1]
71910bb (2 curves)	1	2- 3- 5+ 17- 47-	2- 3- 5+  0  0 -4 17- -2
Curve Equation t Generators 71910bb1 [1,-1,1,-42098,-368882319] 2 [1553:-58305:1] 71910bb2 [1,-1,1,-7973618,-8547865743] 2 [-1767:5583:1]
71910bc (2 curves)	1	2- 3- 5+ 17- 47-	2- 3- 5+  0  0 -6 17-  0
Curve Equation t Generators 71910bc1 [1,-1,1,67,38981] 2 [3:196:1] 71910bc2 [1,-1,1,-16853,830837] 2 [-27:1138:1]
71910bd (4 curves)	1	2- 3- 5+ 17- 47-	2- 3- 5+ -4  0 -4 17-  2
Curve Equation t Generators 71910bd1 [1,-1,1,63337,-26917333] 2 [4817274:100921789:10648] 71910bd2 [1,-1,1,-1052033,-386958769] 2 [5332018230:-128508928997:3652264] 71910bd3 [1,-1,1,-574538,759199817] 6 [513:24223:1] 71910bd4 [1,-1,1,-16492658,25706077481] 6 [1663:52795:1]
71910be (2 curves)	0	2- 3- 5- 17+ 47+	2- 3- 5- -2  4 -6 17+ -6
Curve Equation t 71910be1 [1,-1,1,-1732958087,-26598731139201] 2 71910be2 [1,-1,1,-27402098567,-1745907492833409] 2
71910bf (2 curves)	2	2- 3- 5- 17+ 47+	2- 3- 5- -2 -4 -6 17+ -6
Curve Equation t Generators 71910bf1 [1,-1,1,-4937,-93751] 2 [-53:156:1]&[-33:-164:1] 71910bf2 [1,-1,1,-29417,1874441] 2 [171:-1436:1]&[-179:1264:1]
71910bg (2 curves)	1	2- 3- 5- 17- 47+	2- 3- 5-  0  2 -2 17-  2
Curve Equation t Generators 71910bg1 [1,-1,1,-392,9659] 2 [7:-89:1] 71910bg2 [1,-1,1,-9572,362171] 2 [-51:871:1]
71910bh (2 curves)	1	2- 3- 5- 17- 47+	2- 3- 5- -1 -3  5 17-  5
Curve Equation t Generators 71910bh1 [1,-1,1,-126482,-17281951] 1 [-149463:82187:729] 71910bh2 [1,-1,1,-187817,1204841] 3 [-389:4104:1]
71910bi (2 curves)	1	2- 3- 5- 17- 47+	2- 3- 5-  4  0 -2 17- -4
Curve Equation t Generators 71910bi1 [1,-1,1,148,5771] 2 [13128:75647:512] 71910bi2 [1,-1,1,-4082,97139] 2 [126:1463:8]
71910bj (2 curves)	2	2- 3- 5- 17- 47-	2- 3- 5- -4 -4  0 17- -2
Curve Equation t Generators 71910bj1 [1,-1,1,23458,5640941] 2 [681:-18701:1]&[-129:739:1] 71910bj2 [1,-1,1,-368222,79903469] 2 [177:4411:1]&[777:-16589:1]

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