Cremona's table of elliptic curves

52038 = 2 · 3² · 7² · 59

Class	r	Atkin-Lehner	Eigenvalues
52038a (2 curves)	1	2+ 3+ 7- 59-	2+ 3+  0 7-  4  2 -4  0
Curve Equation t Generators 52038a1 [1,-1,0,-8682,-124300] 2 [212:2638:1] 52038a2 [1,-1,0,-114522,-14878396] 2 [401:1686:1]
52038b (1 curve)	0	2+ 3- 7+ 59+	2+ 3- -1 7+ -2  6  5 -1
Curve Equation t 52038b1 [1,-1,0,-755157825,7987930898877] 1
52038c (1 curve)	1	2+ 3- 7+ 59-	2+ 3-  1 7+  2 -4  1  7
Curve Equation t Generators 52038c1 [1,-1,0,-593154,182044372] 1 [503:3029:1]
52038d (2 curves)	1	2+ 3- 7+ 59-	2+ 3-  3 7+  0  2  3 -4
Curve Equation t Generators 52038d1 [1,-1,0,432,1728] 1 [16:104:1] 52038d2 [1,-1,0,-8388,303372] 3 [52:50:1]
52038e (1 curve)	1	2+ 3- 7+ 59-	2+ 3- -3 7+  0  6  3  1
Curve Equation t Generators 52038e1 [1,-1,0,15502464,21418295296] 1 [70296832:6671371648:12167]
52038f (2 curves)	1	2+ 3- 7- 59+	2+ 3-  0 7-  0  0  0 -4
Curve Equation t Generators 52038f1 [1,-1,0,-135837,-19177803] 2 [-206:279:1] 52038f2 [1,-1,0,-197577,48033] 2 [-278:5921:1]
52038g (2 curves)	1	2+ 3- 7- 59+	2+ 3-  0 7- -4 -4  6  4
Curve Equation t Generators 52038g1 [1,-1,0,-1332,-14148] 2 [-26:62:1] 52038g2 [1,-1,0,3078,-90882] 2 [37:251:1]
52038h (1 curve)	1	2+ 3- 7- 59+	2+ 3-  1 7-  2  4  0 -2
Curve Equation t Generators 52038h1 [1,-1,0,-114,566] 1 [-5:34:1]
52038i (1 curve)	1	2+ 3- 7- 59+	2+ 3-  1 7- -2 -4 -4 -2
Curve Equation t Generators 52038i1 [1,-1,0,-40644,-3200688] 1 [2697:138291:1]
52038j (2 curves)	1	2+ 3- 7- 59+	2+ 3-  1 7- -2  6 -2  5
Curve Equation t Generators 52038j1 [1,-1,0,-11034,462132] 1 [-92:878:1] 52038j2 [1,-1,0,50706,-23431248] 1 [4262494480:-97518366444:8615125]
52038k (1 curve)	1	2+ 3- 7- 59+	2+ 3-  1 7-  4  2 -6  2
Curve Equation t Generators 52038k1 [1,-1,0,-9,307341] 1 [51:636:1]
52038l (1 curve)	1	2+ 3- 7- 59+	2+ 3- -1 7-  2  4 -1 -7
Curve Equation t Generators 52038l1 [1,-1,0,-12105,-527283] 1 [1074:34455:1]
52038m (4 curves)	1	2+ 3- 7- 59+	2+ 3-  2 7- -4 -2  2 -4
Curve Equation t Generators 52038m1 [1,-1,0,-89091,9907029] 2 [1710:5319:8] 52038m2 [1,-1,0,-230211,-29126763] 4 [16046:688267:8] 52038m3 [1,-1,0,634149,-196639731] 2 [1249664868:-45424205919:1560896] 52038m4 [1,-1,0,-3352491,-2361469923] 2 [-8386620:6874563:8000]
52038n (1 curve)	1	2+ 3- 7- 59+	2+ 3- -2 7-  1  3  7 -4
Curve Equation t Generators 52038n1 [1,-1,0,-1773,-28701] 1 [942:8943:8]
52038o (4 curves)	1	2+ 3- 7- 59+	2+ 3- -2 7-  4  2  6 -4
Curve Equation t Generators 52038o1 [1,-1,0,-118145673,-492393282291] 2 [9968635948304760774:1040843044724220502045:532445465175651] 52038o2 [1,-1,0,-1888354953,-31583995034355] 4 [785498977196492083265724487653:167619013628775916528011349624279:10329472215662841254938653] 52038o3 [1,-1,0,-1886379273,-31653382891635] 2 [14088905475864964711839138185439488014894542961742587887716127:3006727690823336277247512270729983801567700509240648675037439829:185281508576266144596925601884825671000163374494943852999] 52038o4 [1,-1,0,-30213679113,-2021398361820531] 2 [7071630976809222213444323347626445236645450379046187354846495:-2914414568500619780743400633815480993953682868985460597608969899:23967034973550914510454880597130105505235731031391264967]
52038p (1 curve)	1	2+ 3- 7- 59+	2+ 3-  3 7-  0 -6 -3 -1
Curve Equation t Generators 52038p1 [1,-1,0,316377,-62534403] 1 [1446:5109:8]
52038q (2 curves)	1	2+ 3- 7- 59+	2+ 3- -3 7-  0 -2 -3  4
Curve Equation t Generators 52038q1 [1,-1,0,21159,-635027] 1 [186:3023:1] 52038q2 [1,-1,0,-411021,-103234559] 1 [27756600:1065272737:15625]
52038r (2 curves)	1	2+ 3- 7- 59+	2+ 3-  4 7-  4  0 -2 -4
Curve Equation t Generators 52038r1 [1,-1,0,-10368360,-12810025152] 2 [4315697842314:45103049673753:1144445336] 52038r2 [1,-1,0,-5852520,-24040919232] 2 [3904392269920857909987910:44045622301620808931887343:1082096432902037449000]
52038s (1 curve)	0	2+ 3- 7- 59-	2+ 3-  1 7- -2 -6 -5  1
Curve Equation t 52038s1 [1,-1,0,-15411384,-23284025024] 1
52038t (1 curve)	0	2+ 3- 7- 59-	2+ 3- -1 7-  2 -4  0  2
Curve Equation t 52038t1 [1,-1,0,-5595,-182953] 1
52038u (1 curve)	0	2+ 3- 7- 59-	2+ 3- -1 7- -2  4  4  2
Curve Equation t 52038u1 [1,-1,0,-1991565,1101819109] 1
52038v (2 curves)	0	2+ 3- 7- 59-	2+ 3- -2 7-  4  6  4  4
Curve Equation t 52038v1 [1,-1,0,-98793,197581] 2 52038v2 [1,-1,0,395127,1284205] 2
52038w (1 curve)	0	2+ 3- 7- 59-	2+ 3- -4 7-  3  1 -7  4
Curve Equation t 52038w1 [1,-1,0,-2214,123444] 1
52038x (2 curves)	1	2- 3+ 7- 59+	2- 3+  0 7- -4  2  4  0
Curve Equation t Generators 52038x1 [1,-1,1,-965,4925] 2 [-5:100:1] 52038x2 [1,-1,1,-12725,555293] 2 [79:-236:1]
52038y (1 curve)	1	2- 3- 7+ 59+	2- 3- -1 7+  2  6 -7 -5
Curve Equation t Generators 52038y1 [1,-1,1,-8168,406235] 1 [135:1255:1]
52038z (1 curve)	0	2- 3- 7+ 59-	2- 3-  1 7+ -4  2  7  1
Curve Equation t 52038z1 [1,-1,1,-925007,-342471657] 1
52038ba (2 curves)	2	2- 3- 7+ 59-	2- 3- -3 7+  0 -4 -3 -7
Curve Equation t Generators 52038ba1 [1,-1,1,13441,-1149613] 1 [606:4067:8]&[135:1696:1] 52038ba2 [1,-1,1,-125474,38024417] 3 [-453:1549:1]&[-435:3403:1]
52038bb (1 curve)	2	2- 3- 7+ 59-	2- 3- -3 7+ -2 -4 -3 -5
Curve Equation t Generators 52038bb1 [1,-1,1,211,46869] 1 [-19:-180:1]&[-31:114:1]
52038bc (4 curves)	0	2- 3- 7- 59+	2- 3-  0 7-  0  4  0  4
Curve Equation t 52038bc1 [1,-1,1,-216320,30125715] 2 52038bc2 [1,-1,1,-3241580,2247036243] 2 52038bc3 [1,-1,1,-5726615,-5270907729] 2 52038bc4 [1,-1,1,-6714455,-3327233745] 2
52038bd (2 curves)	0	2- 3- 7- 59+	2- 3-  0 7- -3 -5 -3 -8
Curve Equation t 52038bd1 [1,-1,1,4180,-80139] 1 52038bd2 [1,-1,1,-95045,-11383851] 1
52038be (1 curve)	0	2- 3- 7- 59+	2- 3-  0 7-  5 -1  1  0
Curve Equation t 52038be1 [1,-1,1,-315545,68305241] 1
52038bf (1 curve)	2	2- 3- 7- 59+	2- 3- -1 7- -4 -2 -7 -1
Curve Equation t Generators 52038bf1 [1,-1,1,-18878,1003853] 1 [-906:10817:8]&[-39:1315:1]
52038bg (2 curves)	0	2- 3- 7- 59+	2- 3- -2 7-  0  2 -2  4
Curve Equation t 52038bg1 [1,-1,1,-5081,-1760839] 2 52038bg2 [1,-1,1,-252041,-48288103] 2
52038bh (2 curves)	0	2- 3- 7- 59+	2- 3-  3 7-  0  4  3  7
Curve Equation t 52038bh1 [1,-1,1,274,3273] 1 52038bh2 [1,-1,1,-2561,-110127] 1
52038bi (1 curve)	0	2- 3- 7- 59+	2- 3-  3 7-  2  2  4 -6
Curve Equation t 52038bi1 [1,-1,1,-60206,-5682211] 1
52038bj (1 curve)	0	2- 3- 7- 59+	2- 3-  3 7- -2  4  0  6
Curve Equation t 52038bj1 [1,-1,1,2164,16503] 1
52038bk (1 curve)	0	2- 3- 7- 59+	2- 3-  3 7- -2  4  3  5
Curve Equation t 52038bk1 [1,-1,1,10354,-16096867] 1
52038bl (1 curve)	0	2- 3- 7- 59+	2- 3- -3 7-  2  2 -2 -3
Curve Equation t 52038bl1 [1,-1,1,211,6689] 1
52038bm (2 curves)	1	2- 3- 7- 59-	2- 3-  0 7-  0 -4  4  4
Curve Equation t Generators 52038bm1 [1,-1,1,-278060,-46507345] 2 [-299:3285:1] 52038bm2 [1,-1,1,-4229420,-3346683217] 2 [-1181:639:1]
52038bn (1 curve)	1	2- 3- 7- 59-	2- 3-  1 7-  2 -6  7  5
Curve Equation t Generators 52038bn1 [1,-1,1,-167,-1137] 1 [17:18:1]
52038bo (2 curves)	1	2- 3- 7- 59-	2- 3-  2 7-  0 -2  2 -4
Curve Equation t Generators 52038bo1 [1,-1,1,-104,5163] 2 [9:65:1] 52038bo2 [1,-1,1,-5144,142251] 2 [23:177:1]
52038bp (1 curve)	1	2- 3- 7- 59-	2- 3-  2 7- -1 -3 -1  8
Curve Equation t Generators 52038bp1 [1,-1,1,24466,-1998979] 1 [153:-2381:1]
52038bq (4 curves)	1	2- 3- 7- 59-	2- 3-  2 7- -4  6  2 -4
Curve Equation t Generators 52038bq1 [1,-1,1,-15224,-715669] 2 [-586:681:8] 52038bq2 [1,-1,1,-24044,215723] 4 [7478:221657:8] 52038bq3 [1,-1,1,95026,1644563] 2 [5526:156533:8] 52038bq4 [1,-1,1,-284234,58290131] 2 [17394265200:-70007203441:49836032]
52038br (2 curves)	1	2- 3- 7- 59-	2- 3- -3 7-  0 -2  6 -2
Curve Equation t Generators 52038br1 [1,-1,1,117076,652576047] 1 [1241:-52659:1] 52038br2 [1,-1,1,-1053779,-17628685581] 1 [3131:97218:1]
52038bs (1 curve)	1	2- 3- 7- 59-	2- 3- -3 7- -2 -4  0 -6
Curve Equation t Generators 52038bs1 [1,-1,1,106051,-5872723] 1 [1017:33448:1]
52038bt (1 curve)	1	2- 3- 7- 59-	2- 3- -3 7- -6  2  4 -2
Curve Equation t Generators 52038bt1 [1,-1,1,9031,-535741] 1 [8094:254375:8]

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
Back to Tables and computations