Cremona's table of elliptic curves

51888 = 2⁴ · 3 · 23 · 47

Class	r	Atkin-Lehner	Eigenvalues
51888a (2 curves)	1	2+ 3+ 23+ 47+	2+ 3+  2 -2 -2  2  2 -6
Curve Equation t Generators 51888a1 [0,-1,0,2928,37008] 2 [6:234:1] 51888a2 [0,-1,0,-13992,334800] 2 [194:2210:1]
51888b (4 curves)	0	2+ 3+ 23+ 47-	2+ 3+  2  0 -4  2 -2  4
Curve Equation t 51888b1 [0,-1,0,-372,2880] 2 51888b2 [0,-1,0,-552,0] 4 51888b3 [0,-1,0,2208,-2208] 2 51888b4 [0,-1,0,-6192,-184992] 2
51888c (2 curves)	2	2+ 3+ 23+ 47-	2+ 3+ -2 -4  0  0 -6  0
Curve Equation t Generators 51888c1 [0,-1,0,-384,-2736] 2 [-11:6:1]&[-10:2:1] 51888c2 [0,-1,0,-744,3600] 2 [-24:84:1]&[-22:94:1]
51888d (2 curves)	0	2+ 3+ 23- 47+	2+ 3+  2 -2  4  2 -4  0
Curve Equation t 51888d1 [0,-1,0,-193532,32809920] 2 51888d2 [0,-1,0,-237272,16923552] 2
51888e (2 curves)	1	2+ 3+ 23- 47-	2+ 3+ -2  0 -4 -2 -4  2
Curve Equation t Generators 51888e1 [0,-1,0,-39,-66] 2 [14:44:1] 51888e2 [0,-1,0,76,-480] 2 [8:24:1]
51888f (2 curves)	1	2+ 3+ 23- 47-	2+ 3+ -2  2 -6 -2 -2  2
Curve Equation t Generators 51888f1 [0,-1,0,-10144,397648] 2 [46:162:1] 51888f2 [0,-1,0,-162424,25249744] 2 [210:598:1]
51888g (2 curves)	0	2+ 3- 23+ 47+	2+ 3-  2  0  0  6  0 -2
Curve Equation t 51888g1 [0,1,0,-11172,1067292] 2 51888g2 [0,1,0,-239592,45015300] 2
51888h (2 curves)	1	2+ 3- 23- 47+	2+ 3-  0  4  2 -2  0  0
Curve Equation t Generators 51888h1 [0,1,0,-368,-3036] 2 [120:1302:1] 51888h2 [0,1,0,-6008,-181260] 2 [45108:394134:343]
51888i (1 curve)	0	2+ 3- 23- 47-	2+ 3-  0  0 -4 -2  3 -1
Curve Equation t 51888i1 [0,1,0,-33,75] 1
51888j (6 curves)	1	2- 3+ 23+ 47-	2- 3+ -2  0 -4  6  2 -4
Curve Equation t Generators 51888j1 [0,-1,0,1376,628480] 2 [48:896:1] 51888j2 [0,-1,0,-102304,12323584] 4 [210:238:1] 51888j3 [0,-1,0,-237664,-26984960] 2 [13746:1610546:1] 51888j4 [0,-1,0,-1625824,798459904] 8 [4721598:551653570:343] 51888j5 [0,-1,0,-1614784,809826688] 4 [851586965141430:99498704193571306:61864208875] 51888j6 [0,-1,0,-26013184,51075441280] 4 [10614564870:1186522881370:753571]
51888k (2 curves)	1	2- 3+ 23- 47+	2- 3+  2  2 -4 -4  8  4
Curve Equation t Generators 51888k1 [0,-1,0,-872,-1680] 2 [-3:30:1] 51888k2 [0,-1,0,-8552,305520] 2 [10:470:1]
51888l (2 curves)	1	2- 3+ 23- 47+	2- 3+ -4  2  4  2 -4 -6
Curve Equation t Generators 51888l1 [0,-1,0,-3800,2701296] 2 [-20:1664:1] 51888l2 [0,-1,0,-314840,67397616] 2 [466:4654:1]
51888m (2 curves)	0	2- 3+ 23- 47-	2- 3+  0  4  0  2 -3  1
Curve Equation t 51888m1 [0,-1,0,-3573,-81027] 1 51888m2 [0,-1,0,-1173,-189795] 1
51888n (2 curves)	0	2- 3+ 23- 47-	2- 3+ -2  4  4 -4 -2  4
Curve Equation t 51888n1 [0,-1,0,-1224,-1296] 2 51888n2 [0,-1,0,-14184,-644112] 2
51888o (2 curves)	0	2- 3+ 23- 47-	2- 3+  4 -2  4  2  4 -2
Curve Equation t 51888o1 [0,-1,0,-565496,163874928] 2 51888o2 [0,-1,0,-9048056,10478667888] 2
51888p (2 curves)	1	2- 3- 23+ 47+	2- 3- -2 -2 -6  2 -2  2
Curve Equation t Generators 51888p1 [0,1,0,-1384,53300] 2 [14:-192:1] 51888p2 [0,1,0,-31464,2134836] 2 [126:-432:1]
51888q (2 curves)	1	2- 3- 23+ 47+	2- 3- -2  4  6 -4 -2  8
Curve Equation t Generators 51888q1 [0,1,0,96,-745740] 2 [7052:592242:1] 51888q2 [0,1,0,-122784,-16326924] 2 [1449057700:121572396246:205379]
51888r (2 curves)	0	2- 3- 23+ 47-	2- 3-  0  4 -2 -6 -4  8
Curve Equation t 51888r1 [0,1,0,-13528,-611308] 2 51888r2 [0,1,0,-216568,-38864044] 2
51888s (2 curves)	2	2- 3- 23+ 47-	2- 3- -2  0  0 -4 -2 -8
Curve Equation t Generators 51888s1 [0,1,0,-70344,7033716] 2 [-252:2970:1]&[180:486:1] 51888s2 [0,1,0,-1120104,455911092] 2 [612:-54:1]&[243:14076:1]
51888t (2 curves)	2	2- 3- 23+ 47-	2- 3- -2 -2 -4 -2  0  4
Curve Equation t Generators 51888t1 [0,1,0,-504,-3564] 2 [-12:30:1]&[-10:24:1] 51888t2 [0,1,0,-2664,49140] 2 [-57:138:1]&[-12:282:1]
51888u (2 curves)	0	2- 3- 23+ 47-	2- 3- -4  0  6  2 -4  0
Curve Equation t 51888u1 [0,1,0,-1960,383924] 2 51888u2 [0,1,0,-92200,10671284] 2
51888v (4 curves)	0	2- 3- 23- 47+	2- 3-  2  4  4 -2 -6  4
Curve Equation t 51888v1 [0,1,0,-6192,898452] 2 51888v2 [0,1,0,-182912,29951220] 4 51888v3 [0,1,0,-269392,-1354540] 2 51888v4 [0,1,0,-2923952,1923461652] 4
51888w (2 curves)	2	2- 3- 23- 47+	2- 3- -2 -4 -2 -4 -2  0
Curve Equation t Generators 51888w1 [0,1,0,5696,-166348] 2 [28:126:1]&[44:414:1] 51888w2 [0,1,0,-33184,-1612684] 2 [-145:414:1]&[-100:846:1]
51888x (2 curves)	1	2- 3- 23- 47-	2- 3-  2  0  0 -4  2  0
Curve Equation t Generators 51888x1 [0,1,0,-215192,36822420] 2 [316:690:1] 51888x2 [0,1,0,-583832,-123462252] 2 [12604:1412430:1]
51888y (2 curves)	1	2- 3- 23- 47-	2- 3-  2 -2  2  2  4  4
Curve Equation t Generators 51888y1 [0,1,0,12328,-282348] 2 [247:4230:1] 51888y2 [0,1,0,-56792,-2466540] 2 [-92:1410:1]
51888z (2 curves)	1	2- 3- 23- 47-	2- 3- -2  2  2 -2  6 -6
Curve Equation t Generators 51888z1 [0,1,0,-31464,-2302668] 2 [4812:333606:1] 51888z2 [0,1,0,-512744,-141488844] 2 [910:12096:1]
51888ba (2 curves)	1	2- 3- 23- 47-	2- 3- -2  2 -4 -2  0  0
Curve Equation t Generators 51888ba1 [0,1,0,-1773428264,28737832183476] 2 [9098530:206126208:343] 51888ba2 [0,1,0,-2000176424,20921460311220] 2 [3724:3677562:1]
51888bb (2 curves)	1	2- 3- 23- 47-	2- 3- -2 -2 -4  2  4  8
Curve Equation t Generators 51888bb1 [0,1,0,-424,2996] 2 [20:54:1] 51888bb2 [0,1,0,-1384,-16588] 2 [52:234:1]
51888bc (1 curve)	1	2- 3- 23- 47-	2- 3- -4  4 -4  2  7 -5
Curve Equation t Generators 51888bc1 [0,1,0,-1845,-1879281] 1 [231:-3174:1]

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