Cremona's table of elliptic curves

42966 = 2 · 3² · 7 · 11 · 31

Class	r	Atkin-Lehner	Eigenvalues
42966a (2 curves)	1	2+ 3+ 7+ 11+ 31+	2+ 3+  2 7+ 11+  0 -6  0
Curve Equation t Generators 42966a1 [1,-1,0,-141,-603] 2 [19:48:1] 42966a2 [1,-1,0,-21,-1683] 2 [21:72:1]
42966b (2 curves)	1	2+ 3+ 7+ 11+ 31+	2+ 3+  4 7+ 11+  4 -2 -4
Curve Equation t Generators 42966b1 [1,-1,0,-511980,-137095472] 2 [24742:1322809:8] 42966b2 [1,-1,0,-8130540,-8921295152] 2 [5010361290:153876045167:1331000]
42966c (1 curve)	2	2+ 3+ 7+ 11- 31+	2+ 3+  1 7+ 11- -2 -5 -4
Curve Equation t Generators 42966c1 [1,-1,0,51,217] 1 [-26:37:8]&[8:29:1]
42966d (1 curve)	1	2+ 3+ 7+ 11- 31-	2+ 3+ -1 7+ 11-  2 -3  4
Curve Equation t Generators 42966d1 [1,-1,0,295500,16919504] 1 [392:13692:1]
42966e (2 curves)	0	2+ 3+ 7- 11+ 31+	2+ 3+ -2 7- 11+  4  2 -2
Curve Equation t 42966e1 [1,-1,0,-59556453,176917843861] 2 42966e2 [1,-1,0,-57711333,188391169045] 2
42966f (2 curves)	1	2+ 3+ 7- 11- 31+	2+ 3+  0 7- 11-  4  2 -4
Curve Equation t Generators 42966f1 [1,-1,0,-15972,-760960] 2 [-76:136:1] 42966f2 [1,-1,0,-32712,1123964] 2 [-170:1408:1]
42966g (1 curve)	0	2+ 3- 7+ 11+ 31+	2+ 3- -1 7+ 11+  0  6 -6
Curve Equation t 42966g1 [1,-1,0,10215,-135891] 1
42966h (4 curves)	0	2+ 3- 7+ 11+ 31+	2+ 3-  2 7+ 11+  6  6  8
Curve Equation t 42966h1 [1,-1,0,-5031,-135891] 2 42966h2 [1,-1,0,-6651,-39663] 4 42966h3 [1,-1,0,26019,-333693] 2 42966h4 [1,-1,0,-65241,6393519] 2
42966i (1 curve)	0	2+ 3- 7+ 11+ 31+	2+ 3- -2 7+ 11+ -2  4  5
Curve Equation t 42966i1 [1,-1,0,882,-5036] 1
42966j (4 curves)	1	2+ 3- 7+ 11+ 31-	2+ 3-  2 7+ 11+  2  2  4
Curve Equation t Generators 42966j1 [1,-1,0,-61236,-2181168] 2 [11667935486760:-63087841546644:42326109125] 42966j2 [1,-1,0,-798516,-274237488] 4 [51607:11695994:1] 42966j3 [1,-1,0,-619956,-400336560] 2 [3556758815:-809667009225:68921] 42966j4 [1,-1,0,-12773556,-17568590256] 2 [31722231115:7176047366258:614125]
42966k (4 curves)	1	2+ 3- 7+ 11+ 31-	2+ 3- -2 7+ 11+  2 -6  0
Curve Equation t Generators 42966k1 [1,-1,0,-20396628,-34040527664] 2 [-1312511716:-5677398931:438976] 42966k2 [1,-1,0,-322727508,-2231441829680] 4 [22949740002064904:2224630999903867772:898352786449] 42966k3 [1,-1,0,-319111668,-2283888142544] 2 [574758702456903628732557462:-270399308879339984062249170497:2585022590097978844904] 42966k4 [1,-1,0,-5163637428,-142816306816400] 2 [12864827024399036465193954:-5783386691014920714546508787:56636464564297623608]
42966l (1 curve)	1	2+ 3- 7+ 11- 31+	2+ 3-  3 7+ 11-  4 -2 -2
Curve Equation t Generators 42966l1 [1,-1,0,2457,155318013] 1 [-4282:7465:8]
42966m (2 curves)	1	2+ 3- 7- 11+ 31+	2+ 3-  2 7- 11+ -6 -6 -2
Curve Equation t Generators 42966m1 [1,-1,0,-4761,127129] 2 [35:32:1] 42966m2 [1,-1,0,-2331,254947] 2 [-21:553:1]
42966n (4 curves)	0	2+ 3- 7- 11+ 31-	2+ 3-  0 7- 11+  2 -6  2
Curve Equation t 42966n1 [1,-1,0,-329427,-72692235] 2 42966n2 [1,-1,0,-318267,-77854851] 2 42966n3 [1,-1,0,-549207,35963433] 6 42966n4 [1,-1,0,2131983,282096675] 6
42966o (2 curves)	0	2+ 3- 7- 11+ 31-	2+ 3- -1 7- 11+ -6  2  0
Curve Equation t 42966o1 [1,-1,0,-2247210,-1296062348] 1 42966o2 [1,-1,0,5370750,-6873137348] 1
42966p (1 curve)	0	2+ 3- 7- 11+ 31-	2+ 3-  3 7- 11+ -2  6  4
Curve Equation t 42966p1 [1,-1,0,-483,-9163] 1
42966q (1 curve)	2	2+ 3- 7- 11+ 31-	2+ 3- -3 7- 11+ -4  1 -2
Curve Equation t Generators 42966q1 [1,-1,0,-1566,26568] 1 [36:108:1]&[22:-60:1]
42966r (2 curves)	0	2+ 3- 7- 11+ 31-	2+ 3-  4 7- 11+  4  2 -5
Curve Equation t 42966r1 [1,-1,0,-4635,-155867] 1 42966r2 [1,-1,0,-33615,14957833] 1
42966s (2 curves)	0	2+ 3- 7- 11- 31+	2+ 3-  2 7- 11-  2  2  2
Curve Equation t 42966s1 [1,-1,0,-3771,-36635] 2 42966s2 [1,-1,0,13509,-288923] 2
42966t (1 curve)	0	2- 3+ 7+ 11+ 31+	2- 3+ -1 7+ 11+ -2  5 -4
Curve Equation t 42966t1 [1,-1,1,457,-6317] 1
42966u (1 curve)	1	2- 3+ 7+ 11+ 31-	2- 3+  1 7+ 11+  2  3  4
Curve Equation t Generators 42966u1 [1,-1,1,32833,-637593] 1 [35:726:1]
42966v (2 curves)	1	2- 3+ 7+ 11- 31+	2- 3+ -2 7+ 11-  0  6  0
Curve Equation t Generators 42966v1 [1,-1,1,-1271,17551] 2 [-35:152:1] 42966v2 [1,-1,1,-191,45631] 2 [17:-226:1]
42966w (2 curves)	1	2- 3+ 7+ 11- 31+	2- 3+ -4 7+ 11-  4  2 -4
Curve Equation t Generators 42966w1 [1,-1,1,-4607822,3706185565] 2 [-487:76627:1] 42966w2 [1,-1,1,-73174862,240948143965] 2 [5017:-12013:1]
42966x (2 curves)	1	2- 3+ 7- 11+ 31+	2- 3+  0 7- 11+  4 -2 -4
Curve Equation t Generators 42966x1 [1,-1,1,-1775,28775] 2 [-35:234:1] 42966x2 [1,-1,1,-3635,-40417] 2 [-41:216:1]
42966y (2 curves)	0	2- 3+ 7- 11- 31+	2- 3+  2 7- 11-  4 -2 -2
Curve Equation t 42966y1 [1,-1,1,-536008079,-4776245776169] 2 42966y2 [1,-1,1,-519401999,-5086042162217] 2
42966z (1 curve)	1	2- 3- 7+ 11+ 31+	2- 3- -1 7+ 11+  0  3  6
Curve Equation t Generators 42966z1 [1,-1,1,-158,-2707] 1 [21:43:1]
42966ba (2 curves)	1	2- 3- 7+ 11- 31-	2- 3-  0 7+ 11- -2  6  6
Curve Equation t Generators 42966ba1 [1,-1,1,-2968565,-1967898355] 2 [-995:574:1] 42966ba2 [1,-1,1,-2923925,-2029983667] 2 [3469:170206:1]
42966bb (1 curve)	1	2- 3- 7+ 11- 31-	2- 3-  2 7+ 11- -6  0  1
Curve Equation t Generators 42966bb1 [1,-1,1,-34214,2453861] 1 [103:-173:1]
42966bc (1 curve)	1	2- 3- 7+ 11- 31-	2- 3- -3 7+ 11-  4  3 -6
Curve Equation t Generators 42966bc1 [1,-1,1,-42404,3375047] 1 [261:3037:1]
42966bd (2 curves)	0	2- 3- 7- 11+ 31+	2- 3-  0 7- 11+  4 -2  2
Curve Equation t 42966bd1 [1,-1,1,-10355,-575917] 2 42966bd2 [1,-1,1,-184595,-30475501] 2
42966be (4 curves)	1	2- 3- 7- 11+ 31-	2- 3-  0 7- 11+ -4  6  2
Curve Equation t Generators 42966be1 [1,-1,1,-680217620,-6830339289865] 2 [6603487739:-440781749265:205379] 42966be2 [1,-1,1,-10884408980,-437071700439817] 2 [-12370846299:6167124359:205379] 42966be3 [1,-1,1,403582405,-25793932376149] 6 [1564896602332650825:1057747321096892782334:3425878546875] 42966be4 [1,-1,1,-11015410235,-426011354019925] 6 [1333345923:1799526136474:729]
42966bf (1 curve)	1	2- 3- 7- 11+ 31-	2- 3-  0 7- 11+ -4  6  7
Curve Equation t Generators 42966bf1 [1,-1,1,-65,253] 1 [11:22:1]
42966bg (2 curves)	1	2- 3- 7- 11+ 31-	2- 3-  2 7- 11+  2 -6  2
Curve Equation t Generators 42966bg1 [1,-1,1,-555467054,-5022303740355] 2 [-890380:-6745509:64] 42966bg2 [1,-1,1,-300375374,-9653340135747] 2 [917735570668:-150004487817171:22906304]
42966bh (2 curves)	1	2- 3- 7- 11+ 31-	2- 3-  2 7- 11+  6 -4  0
Curve Equation t Generators 42966bh1 [1,-1,1,-10049,-478767] 2 [231:2964:1] 42966bh2 [1,-1,1,-171329,-27251247] 2 [519:4580:1]
42966bi (2 curves)	1	2- 3- 7- 11+ 31-	2- 3-  3 7- 11+ -4 -3  2
Curve Equation t Generators 42966bi1 [1,-1,1,138694,9244793] 1 [357:10027:1] 42966bi2 [1,-1,1,-2574401,1625426129] 3 [951:5572:1]
42966bj (2 curves)	1	2- 3- 7- 11+ 31-	2- 3- -4 7- 11+ -6  2 -6
Curve Equation t Generators 42966bj1 [1,-1,1,-132962,18692385] 2 [581:-12009:1] 42966bj2 [1,-1,1,-121802,21951105] 2 [575:-12195:1]
42966bk (2 curves)	0	2- 3- 7- 11- 31-	2- 3-  4 7- 11-  0 -2  6
Curve Equation t 42966bk1 [1,-1,1,-1643,-105861] 2 42966bk2 [1,-1,1,-45203,-3677781] 2

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