Cremona's table of elliptic curves

51282 = 2 · 3² · 7 · 11 · 37

Class	r	Atkin-Lehner	Eigenvalues
51282a (1 curve)	0	2+ 3+ 7+ 11+ 37-	2+ 3+ -3 7+ 11+  1 -3  4
Curve Equation t 51282a1 [1,-1,0,-3705681021,86827000749381] 1
51282b (2 curves)	0	2+ 3+ 7+ 11+ 37-	2+ 3+  4 7+ 11+  2 -2  8
Curve Equation t 51282b1 [1,-1,0,-14190,649088] 2 51282b2 [1,-1,0,-4200,1538198] 2
51282c (1 curve)	0	2+ 3+ 7+ 11- 37+	2+ 3+  1 7+ 11- -4 -8  3
Curve Equation t 51282c1 [1,-1,0,-5085414,4489640372] 1
51282d (1 curve)	1	2+ 3+ 7- 11+ 37-	2+ 3+ -1 7- 11+ -4  0  7
Curve Equation t Generators 51282d1 [1,-1,0,660,-1936] 1 [55:418:1]
51282e (1 curve)	1	2+ 3+ 7- 11- 37+	2+ 3+ -1 7- 11-  1  7  4
Curve Equation t Generators 51282e1 [1,-1,0,210,7252] 1 [-7:77:1]
51282f (1 curve)	0	2+ 3+ 7- 11- 37-	2+ 3+  3 7- 11-  3  5  4
Curve Equation t 51282f1 [1,-1,0,-3498,-99838] 1
51282g (1 curve)	0	2+ 3- 7+ 11+ 37+	2+ 3-  1 7+ 11+  0 -1 -2
Curve Equation t 51282g1 [1,-1,0,-3564,-1508144] 1
51282h (2 curves)	2	2+ 3- 7+ 11+ 37+	2+ 3- -2 7+ 11+  2  0 -4
Curve Equation t Generators 51282h1 [1,-1,0,310842,32091700] 2 [-19:5126:1]&[233:10706:1] 51282h2 [1,-1,0,-1394118,271809076] 2 [-1075:23501:1]&[-1060:24146:1]
51282i (2 curves)	1	2+ 3- 7+ 11+ 37-	2+ 3-  0 7+ 11+  4  6 -2
Curve Equation t Generators 51282i1 [1,-1,0,-97473222,-370379997900] 2 [-673683267619360700:336980101730889222:118190052296875] 51282i2 [1,-1,0,-97499862,-370167394716] 2 [-86782400:34883558:15625]
51282j (1 curve)	0	2+ 3- 7+ 11- 37-	2+ 3-  3 7+ 11-  4  7 -2
Curve Equation t 51282j1 [1,-1,0,-95688,11417112] 1
51282k (1 curve)	0	2+ 3- 7+ 11- 37-	2+ 3- -3 7+ 11-  0  7  0
Curve Equation t 51282k1 [1,-1,0,55629,5129163] 1
51282l (1 curve)	1	2+ 3- 7- 11+ 37+	2+ 3-  1 7- 11+  0  3  6
Curve Equation t Generators 51282l1 [1,-1,0,-99,891] 1 [-9:36:1]
51282m (1 curve)	1	2+ 3- 7- 11+ 37+	2+ 3- -1 7- 11+ -4  3 -4
Curve Equation t Generators 51282m1 [1,-1,0,38910060,28277886672] 1 [138411:51477111:1]
51282n (2 curves)	1	2+ 3- 7- 11+ 37+	2+ 3-  2 7- 11+ -4 -6 -4
Curve Equation t Generators 51282n1 [1,-1,0,18594,-1328940] 2 [148:-2230:1] 51282n2 [1,-1,0,-127926,-13548708] 2 [-261:1548:1]
51282o (2 curves)	1	2+ 3- 7- 11+ 37+	2+ 3-  4 7- 11+  0  0 -6
Curve Equation t Generators 51282o1 [1,-1,0,-100800,-17805312] 2 [1800981120:-82399684416:857375] 51282o2 [1,-1,0,-1805760,-933368832] 2 [-5291424:254592:6859]
51282p (2 curves)	0	2+ 3- 7- 11- 37+	2+ 3-  2 7- 11-  4  4 -8
Curve Equation t 51282p1 [1,-1,0,1269,13765] 2 51282p2 [1,-1,0,-6651,129397] 2
51282q (6 curves)	1	2+ 3- 7- 11- 37-	2+ 3-  0 7- 11- -4 -6  2
Curve Equation t Generators 51282q1 [1,-1,0,-31087197,-52590488571] 2 [72212784009210:2600858259068931:10431681625] 51282q2 [1,-1,0,-467556957,-3890992851963] 2 [3442530:252004431:125] 51282q3 [1,-1,0,-802466397,8745518801925] 6 [365809158:41604801885:12167] 51282q4 [1,-1,0,-948347037,5345128611909] 6 [102786:31473051:1] 51282q5 [1,-1,0,-64990933677,6377175726701013] 6 [3945416210658:5341602770109:26730899] 51282q6 [1,-1,0,-64990940337,6377174354342745] 6 [174984:18956715:1]
51282r (1 curve)	1	2+ 3- 7- 11- 37-	2+ 3-  1 7- 11- -1  7  0
Curve Equation t Generators 51282r1 [1,-1,0,-16434,954292] 1 [1097:35537:1]
51282s (4 curves)	1	2+ 3- 7- 11- 37-	2+ 3- -2 7- 11-  2 -2  0
Curve Equation t Generators 51282s1 [1,-1,0,-80568,3671104] 2 [288:1928:1] 51282s2 [1,-1,0,-1066248,423767920] 4 [-604:29408:1] 51282s3 [1,-1,0,-846468,603328180] 2 [-567:30296:1] 51282s4 [1,-1,0,-17056908,27118575724] 2 [2378:-1756:1]
51282t (4 curves)	1	2+ 3- 7- 11- 37-	2+ 3- -2 7- 11- -2 -2  8
Curve Equation t Generators 51282t1 [1,-1,0,-26223,1641005] 2 [103:106:1] 51282t2 [1,-1,0,-26943,1546685] 4 [217:-2534:1] 51282t3 [1,-1,0,34797,7560161] 2 [-56:-2303:1] 51282t4 [1,-1,0,-100203,-10511911] 2 [-125:283:1]
51282u (2 curves)	1	2+ 3- 7- 11- 37-	2+ 3-  3 7- 11- -4  3  2
Curve Equation t Generators 51282u1 [1,-1,0,-82278,-9107532] 1 [3215310:179938941:1000] 51282u2 [1,-1,0,215802,-48695148] 3 [2406:51465:8]
51282v (1 curve)	0	2- 3+ 7+ 11+ 37+	2- 3+ -1 7+ 11+ -4  8  3
Curve Equation t 51282v1 [1,-1,1,-45768728,-121174521317] 1
51282w (1 curve)	0	2- 3+ 7+ 11- 37-	2- 3+  3 7+ 11-  1  3  4
Curve Equation t 51282w1 [1,-1,1,-33351129191,-2344295669104097] 1
51282x (2 curves)	0	2- 3+ 7+ 11- 37-	2- 3+ -4 7+ 11-  2  2  8
Curve Equation t 51282x1 [1,-1,1,-1577,-23515] 2 51282x2 [1,-1,1,-467,-56815] 2
51282y (1 curve)	1	2- 3+ 7- 11+ 37+	2- 3+  1 7- 11+  1 -7  4
Curve Equation t Generators 51282y1 [1,-1,1,1888,-197693] 1 [85:-799:1]
51282z (1 curve)	0	2- 3+ 7- 11+ 37-	2- 3+ -3 7- 11+  3 -5  4
Curve Equation t 51282z1 [1,-1,1,-389,3827] 1
51282ba (1 curve)	1	2- 3+ 7- 11- 37-	2- 3+  1 7- 11- -4  0  7
Curve Equation t Generators 51282ba1 [1,-1,1,73,47] 1 [15:58:1]
51282bb (2 curves)	1	2- 3- 7+ 11+ 37+	2- 3- -2 7+ 11+  0  2  0
Curve Equation t Generators 51282bb1 [1,-1,1,-2336,-49633] 2 [15636:230911:64] 51282bb2 [1,-1,1,-38966,-2950729] 2 [489756:-5346241:1728]
51282bc (2 curves)	1	2- 3- 7+ 11+ 37+	2- 3- -2 7+ 11+  2 -4  8
Curve Equation t Generators 51282bc1 [1,-1,1,-26861,1701425] 2 [99:22:1] 51282bc2 [1,-1,1,-429791,108558461] 2 [2526:15239:8]
51282bd (2 curves)	1	2- 3- 7+ 11+ 37+	2- 3- -2 7+ 11+ -4 -4 -4
Curve Equation t Generators 51282bd1 [1,-1,1,-11562161,-15143388703] 2 [5335:271188:1] 51282bd2 [1,-1,1,-185041841,-968795885599] 2 [29977:4504024:1]
51282be (2 curves)	1	2- 3- 7+ 11+ 37+	2- 3- -2 7+ 11+  6 -4  4
Curve Equation t Generators 51282be1 [1,-1,1,-7061,234861] 2 [47:-96:1] 51282be2 [1,-1,1,-113621,14769645] 2 [203:-300:1]
51282bf (4 curves)	0	2- 3- 7+ 11+ 37-	2- 3- -2 7+ 11+ -2  2  0
Curve Equation t 51282bf1 [1,-1,1,6849454,-7164261039] 4 51282bf2 [1,-1,1,-40336466,-68505957039] 4 51282bf3 [1,-1,1,-246636626,1437815291217] 2 51282bf4 [1,-1,1,-589011026,-5501261980335] 2
51282bg (2 curves)	0	2- 3- 7+ 11- 37+	2- 3-  0 7+ 11- -6 -4 -2
Curve Equation t 51282bg1 [1,-1,1,-1023710,-1019939475] 2 51282bg2 [1,-1,1,-22708670,-41596836627] 2
51282bh (4 curves)	1	2- 3- 7+ 11- 37-	2- 3-  2 7+ 11-  2  2 -4
Curve Equation t Generators 51282bh1 [1,-1,1,-149,-237715] 2 [990:9707:8] 51282bh2 [1,-1,1,-58469,-5346547] 4 [2526:20783:8] 51282bh3 [1,-1,1,-118409,7528565] 2 [315:1030:1] 51282bh4 [1,-1,1,-931649,-345886747] 2 [40542:2808875:8]
51282bi (4 curves)	1	2- 3- 7+ 11- 37-	2- 3- -2 7+ 11- -2  6  0
Curve Equation t Generators 51282bi1 [1,-1,1,-5576,-149749] 2 [-35:57:1] 51282bi2 [1,-1,1,-17096,679691] 4 [177:-1871:1] 51282bi3 [1,-1,1,38344,4139147] 2 [93:-2963:1] 51282bi4 [1,-1,1,-256856,50166155] 2 [303:145:1]
51282bj (1 curve)	1	2- 3- 7+ 11- 37-	2- 3- -3 7+ 11- -2 -2 -5
Curve Equation t Generators 51282bj1 [1,-1,1,-4289,-787111] 1 [129:826:1]
51282bk (2 curves)	0	2- 3- 7- 11+ 37+	2- 3-  0 7- 11+  0 -4  6
Curve Equation t 51282bk1 [1,-1,1,985,-12081] 2 51282bk2 [1,-1,1,-5675,-110649] 2
51282bl (1 curve)	0	2- 3- 7- 11+ 37+	2- 3- -1 7- 11+  5  3  8
Curve Equation t 51282bl1 [1,-1,1,-68,-385] 1
51282bm (2 curves)	1	2- 3- 7- 11+ 37-	2- 3-  0 7- 11+  0 -2 -2
Curve Equation t Generators 51282bm1 [1,-1,1,-4505,-69127] 2 [-21:136:1] 51282bm2 [1,-1,1,-31145,2072729] 2 [-27:1714:1]
51282bn (4 curves)	1	2- 3- 7- 11+ 37-	2- 3-  2 7- 11+ -2  2 -4
Curve Equation t Generators 51282bn1 [1,-1,1,-53114,3520041] 4 [35:1287:1] 51282bn2 [1,-1,1,-299534,-60154887] 4 [-36695:-175899:125] 51282bn3 [1,-1,1,189976,-237944919] 2 [5882016711050:179926195918689:5812581592] 51282bn4 [1,-1,1,-4731764,-3960517287] 2 [-37370264710:20591253753:29791000]
51282bo (1 curve)	1	2- 3- 7- 11+ 37-	2- 3-  3 7- 11+ -1 -3  0
Curve Equation t Generators 51282bo1 [1,-1,1,5554939,3849069309] 1 [1121:-107724:1]
51282bp (2 curves)	1	2- 3- 7- 11- 37+	2- 3-  0 7- 11- -4  0  6
Curve Equation t Generators 51282bp1 [1,-1,1,-214790,38432661] 2 [257:-525:1] 51282bp2 [1,-1,1,-3438230,2454723285] 2 [-205:56235:1]
51282bq (1 curve)	1	2- 3- 7- 11- 37+	2- 3- -1 7- 11- -3 -3  0
Curve Equation t Generators 51282bq1 [1,-1,1,-1760338463,-37089082347897] 1 [1194131:1303484790:1]
51282br (2 curves)	1	2- 3- 7- 11- 37+	2- 3-  2 7- 11- -6  0  0
Curve Equation t Generators 51282br1 [1,-1,1,346,-81867] 2 [77:591:1] 51282br2 [1,-1,1,-26294,-1595019] 2 [-97:237:1]
51282bs (2 curves)	0	2- 3- 7- 11- 37-	2- 3-  3 7- 11- -1  3  8
Curve Equation t 51282bs1 [1,-1,1,-33926,-2401387] 1 51282bs2 [1,-1,1,60979,-12087691] 3
51282bt (2 curves)	0	2- 3- 7- 11- 37-	2- 3-  4 7- 11- -4  6 -2
Curve Equation t 51282bt1 [1,-1,1,-3173,65549] 2 51282bt2 [1,-1,1,-9833,-294091] 2

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