Cremona's table of elliptic curves

50050 = 2 · 5² · 7 · 11 · 13

Class	r	Atkin-Lehner	Eigenvalues
50050a (4 curves)	1	2+ 5+ 7+ 11+ 13+	2+  0 5+ 7+ 11+ 13+ -2  0
Curve Equation t Generators 50050a1 [1,-1,0,3208,-90384] 2 [29:148:1] 50050a2 [1,-1,0,-21292,-898884] 4 [-61:443:1] 50050a3 [1,-1,0,-117542,14789866] 2 [289:2068:1] 50050a4 [1,-1,0,-317042,-68625634] 2 [1079:28523:1]
50050b (2 curves)	1	2+ 5+ 7+ 11+ 13+	2+  0 5+ 7+ 11+ 13+ -4 -6
Curve Equation t Generators 50050b1 [1,-1,0,433,2841] 2 [5:-74:1] 50050b2 [1,-1,0,-2317,27591] 2 [-31:278:1]
50050c (2 curves)	1	2+ 5+ 7+ 11+ 13+	2+  2 5+ 7+ 11+ 13+  3 -4
Curve Equation t Generators 50050c1 [1,1,0,279675,624402125] 1 [41175366068561150212222973:2462843189796718886230234454:83634318475137691004323] 50050c2 [1,1,0,-2520325,-16979197875] 1 [816410175354106096698685266740434564212270916491208770627810305035574802032248257:-90310962756779230709294598888152731370057522967297981440101773973294441174406812914:65641141190285538748271993653514715232590028656657489678361647370406643485407]
50050d (2 curves)	1	2+ 5+ 7+ 11+ 13+	2+  2 5+ 7+ 11+ 13+ -3  8
Curve Equation t Generators 50050d1 [1,1,0,0,-280] 1 [1345:3493:125] 50050d2 [1,1,0,-3250,-72690] 1 [5759694105:469224972408:857375]
50050e (4 curves)	1	2+ 5+ 7+ 11+ 13+	2+  2 5+ 7+ 11+ 13+ -6  8
Curve Equation t Generators 50050e1 [1,1,0,-66775,1975125] 2 [166485:-13146305:27] 50050e2 [1,1,0,253225,15735125] 2 [-1365:45920:27] 50050e3 [1,1,0,-3082775,-2084576875] 2 [194317445213934945:-14805284694593200285:30979853776143] 50050e4 [1,1,0,-2957775,-2261201875] 2 [3084059083755:87168124620560:1270238787]
50050f (2 curves)	0	2+ 5+ 7+ 11+ 13-	2+ -2 5+ 7+ 11+ 13- -2 -4
Curve Equation t 50050f1 [1,0,1,-10364616501,406141176991148] 2 50050f2 [1,0,1,-10345085251,407748091053648] 2
50050g (2 curves)	0	2+ 5+ 7+ 11+ 13-	2+ -2 5+ 7+ 11+ 13- -2  6
Curve Equation t 50050g1 [1,0,1,-114626,-17103852] 2 50050g2 [1,0,1,-1906626,-1013455852] 2
50050h (2 curves)	2	2+ 5+ 7+ 11- 13+	2+ -1 5+ 7+ 11- 13+ -3  2
Curve Equation t Generators 50050h1 [1,1,0,110,2420] 1 [11:66:1]&[-4:46:1] 50050h2 [1,1,0,-990,-66440] 1 [111:-1154:1]&[54:176:1]
50050i (4 curves)	0	2+ 5+ 7+ 11- 13+	2+  2 5+ 7+ 11- 13+  6 -4
Curve Equation t 50050i1 [1,1,0,-54750,-4487500] 2 50050i2 [1,1,0,70250,-21862500] 2 50050i3 [1,1,0,-4317250,-3454500000] 2 50050i4 [1,1,0,-4316000,-3456598750] 2
50050j (2 curves)	1	2+ 5+ 7+ 11- 13-	2+  0 5+ 7+ 11- 13-  0 -8
Curve Equation t Generators 50050j1 [1,-1,0,-44917,20082741] 2 [2699:138488:1] 50050j2 [1,-1,0,-1416917,647086741] 2 [639:1193:1]
50050k (2 curves)	0	2+ 5+ 7- 11+ 13+	2+  0 5+ 7- 11+ 13+  2  6
Curve Equation t 50050k1 [1,-1,0,433,-178659] 2 50050k2 [1,-1,0,-45067,-3591159] 2
50050l (1 curve)	0	2+ 5+ 7- 11+ 13+	2+  1 5+ 7- 11+ 13+  6 -2
Curve Equation t 50050l1 [1,0,1,-1,-602] 1
50050m (2 curves)	0	2+ 5+ 7- 11+ 13+	2+  2 5+ 7- 11+ 13+ -2 -6
Curve Equation t 50050m1 [1,1,0,2975,115125] 2 50050m2 [1,1,0,-25025,1263125] 2
50050n (2 curves)	0	2+ 5+ 7- 11+ 13+	2+ -2 5+ 7- 11+ 13+  2 -6
Curve Equation t 50050n1 [1,0,1,-4972776,-50235705802] 2 50050n2 [1,0,1,-236840776,-1393215161802] 2
50050o (1 curve)	1	2+ 5+ 7- 11+ 13-	2+  0 5+ 7- 11+ 13- -3  4
Curve Equation t Generators 50050o1 [1,-1,0,-572,5456] 1 [13:3:1]
50050p (4 curves)	1	2+ 5+ 7- 11+ 13-	2+  0 5+ 7- 11+ 13- -6 -8
Curve Equation t Generators 50050p1 [1,-1,0,-13067,-571659] 2 [159:1083:1] 50050p2 [1,-1,0,-13567,-525159] 4 [-72:309:1] 50050p3 [1,-1,0,22183,-2848909] 2 [203:3059:1] 50050p4 [1,-1,0,-57317,4768591] 2 [189:718:1]
50050q (2 curves)	1	2+ 5+ 7- 11- 13+	2+  0 5+ 7- 11- 13+  2 -6
Curve Equation t Generators 50050q1 [1,-1,0,-11417,573741] 2 [-46:1023:1] 50050q2 [1,-1,0,-193417,32787741] 2 [239:293:1]
50050r (2 curves)	1	2+ 5+ 7- 11- 13+	2+  0 5+ 7- 11- 13+ -4  0
Curve Equation t Generators 50050r1 [1,-1,0,-54817,133064841] 2 [140:11249:1] 50050r2 [1,-1,0,-4256567,3347403591] 2 [749:23688:1]
50050s (1 curve)	1	2+ 5+ 7- 11- 13+	2+  1 5+ 7- 11- 13+ -3  6
Curve Equation t Generators 50050s1 [1,0,1,6549,-434202] 1 [51:156:1]
50050t (1 curve)	1	2+ 5+ 7- 11- 13+	2+ -3 5+ 7- 11- 13+  2  6
Curve Equation t Generators 50050t1 [1,-1,0,-493192,-133294784] 1 [1739:64443:1]
50050u (1 curve)	0	2+ 5+ 7- 11- 13-	2+ -1 5+ 7- 11- 13- -5  6
Curve Equation t 50050u1 [1,1,0,-1260,-17840] 1
50050v (1 curve)	2	2+ 5- 7+ 11+ 13+	2+ -3 5- 7+ 11+ 13+ -3 -2
Curve Equation t Generators 50050v1 [1,-1,0,-13867,632041] 1 [44:303:1]&[-47:1109:1]
50050w (2 curves)	1	2+ 5- 7+ 11+ 13-	2+  0 5- 7+ 11+ 13-  6  0
Curve Equation t Generators 50050w1 [1,-1,0,13,321] 2 [-1:18:1] 50050w2 [1,-1,0,-637,6171] 2 [-1:83:1]
50050x (2 curves)	1	2+ 5- 7+ 11+ 13-	2+  0 5- 7+ 11+ 13-  6  6
Curve Equation t Generators 50050x1 [1,-1,0,-14156507867,648312934565541] 2 [60230:-3792731:1] 50050x2 [1,-1,0,-14156437867,648319666535541] 2 [732838535:-46155114577:12167]
50050y (2 curves)	1	2+ 5- 7+ 11- 13+	2+  1 5- 7+ 11- 13+  2  0
Curve Equation t Generators 50050y1 [1,0,1,-35701,-2624702] 1 [2552:127286:1] 50050y2 [1,0,1,232424,89857798] 1 [174299692:8860320506:68921]
50050z (2 curves)	0	2+ 5- 7+ 11- 13-	2+  0 5- 7+ 11- 13- -2  6
Curve Equation t 50050z1 [1,-1,0,-420992,-90947584] 2 50050z2 [1,-1,0,699008,-493027584] 2
50050ba (1 curve)	0	2+ 5- 7+ 11- 13-	2+  3 5- 7+ 11- 13-  2 -8
Curve Equation t 50050ba1 [1,-1,0,-1595557,897774101] 1
50050bb (1 curve)	0	2+ 5- 7- 11- 13+	2+  3 5- 7- 11- 13+ -1 -8
Curve Equation t 50050bb1 [1,-1,0,-17451742,-28056847084] 1
50050bc (2 curves)	1	2+ 5- 7- 11- 13-	2+  1 5- 7- 11- 13- -3 -4
Curve Equation t Generators 50050bc1 [1,0,1,-32201,2459548] 3 [127:586:1] 50050bc2 [1,0,1,208424,-5914202] 1 [3891:138649:27]
50050bd (1 curve)	1	2+ 5- 7- 11- 13-	2+  2 5- 7- 11- 13- -7  0
Curve Equation t Generators 50050bd1 [1,1,0,180675,21432125] 1 [935:31295:1]
50050be (2 curves)	1	2+ 5- 7- 11- 13-	2+ -2 5- 7- 11- 13-  3 -4
Curve Equation t Generators 50050be1 [1,0,1,-56336176,-162933589602] 3 [29942:4984446:1] 50050be2 [1,0,1,-4564599551,-118700768320302] 1 [6484852:1368052313:64]
50050bf (3 curves)	0	2- 5+ 7+ 11+ 13+	2- -1 5+ 7+ 11+ 13+ -6  2
Curve Equation t 50050bf1 [1,1,1,-14904813,22141963531] 1 50050bf2 [1,1,1,-13764188,25674494781] 1 50050bf3 [1,1,1,106071437,-279956512719] 1
50050bg (2 curves)	2	2- 5+ 7+ 11+ 13+	2- -2 5+ 7+ 11+ 13+ -4 -2
Curve Equation t Generators 50050bg1 [1,0,0,-5963,130417] 2 [-82:305:1]&[-78:389:1] 50050bg2 [1,0,0,-33963,-2305583] 2 [-118:309:1]&[-108:379:1]
50050bh (2 curves)	1	2- 5+ 7+ 11+ 13-	2-  0 5+ 7+ 11+ 13-  0  8
Curve Equation t Generators 50050bh1 [1,-1,1,1395,1397] 2 [13:140:1] 50050bh2 [1,-1,1,-5605,15397] 2 [-11:280:1]
50050bi (4 curves)	1	2- 5+ 7+ 11+ 13-	2-  0 5+ 7+ 11+ 13- -6 -4
Curve Equation t Generators 50050bi1 [1,-1,1,32106020,30935922191647] 4 [-26657:3350571:1] 50050bi2 [1,-1,1,-14591125980,666637063695647] 4 [638943:501866485:1] 50050bi3 [1,-1,1,-30821885980,-1085505939824353] 2 [17407461:13410879095:27] 50050bi4 [1,-1,1,-232332077980,43103477644687647] 2 [3598028992331:2411377632731545:5177717]
50050bj (4 curves)	1	2- 5+ 7+ 11- 13+	2-  0 5+ 7+ 11- 13+ -2 -4
Curve Equation t Generators 50050bj1 [1,-1,1,-655,5847] 2 [-21:110:1] 50050bj2 [1,-1,1,-2655,-46153] 4 [-31:90:1] 50050bj3 [1,-1,1,3845,-241153] 2 [99:1000:1] 50050bj4 [1,-1,1,-41155,-3203153] 2 [263:1896:1]
50050bk (2 curves)	1	2- 5+ 7+ 11- 13+	2- -1 5+ 7+ 11- 13+  3 -4
Curve Equation t Generators 50050bk1 [1,1,1,-1288,19161] 1 [-1:-143:1] 50050bk2 [1,1,1,8337,-43979] 1 [419:8578:1]
50050bl (2 curves)	1	2- 5+ 7+ 11- 13+	2- -1 5+ 7+ 11- 13+  6  2
Curve Equation t Generators 50050bl1 [1,1,1,-963,185281] 1 [55:522:1] 50050bl2 [1,1,1,8662,-4992969] 1 [265:-4133:1]
50050bm (4 curves)	1	2- 5+ 7+ 11- 13+	2-  2 5+ 7+ 11- 13+  0  2
Curve Equation t Generators 50050bm1 [1,1,1,-60340588,180363360781] 2 [4165:34217:1] 50050bm2 [1,1,1,-65828588,145591392781] 2 [8645:467577:1] 50050bm3 [1,1,1,-139640963,-380042754719] 2 [-10045:-90978:1] 50050bm4 [1,1,1,-1974648963,-33766178306719] 2 [-701295:-449366:27]
50050bn (2 curves)	1	2- 5+ 7+ 11- 13+	2-  2 5+ 7+ 11- 13+ -3 -4
Curve Equation t Generators 50050bn1 [1,1,1,-1408404388,-20366698700219] 1 [998894001156260:353265966026600287:7301384000] 50050bn2 [1,1,1,-114114988763,-14837596040037719] 1 [46931776381308816342219443660477231141090740:-27179850419911788842217134620230044995555517637:81322749589108684888932578640933416000]
50050bo (1 curve)	1	2- 5+ 7+ 11- 13+	2- -2 5+ 7+ 11- 13+  7  0
Curve Equation t Generators 50050bo1 [1,0,0,7227,171457] 1 [66:-1001:1]
50050bp (4 curves)	0	2- 5+ 7+ 11- 13-	2-  0 5+ 7+ 11- 13- -2  4
Curve Equation t 50050bp1 [1,-1,1,-200755,34671747] 4 50050bp2 [1,-1,1,-201255,34490747] 4 50050bp3 [1,-1,1,-50005,85008247] 2 50050bp4 [1,-1,1,-360505,-27616753] 2
50050bq (1 curve)	0	2- 5+ 7+ 11- 13-	2- -3 5+ 7+ 11- 13-  1 -8
Curve Equation t 50050bq1 [1,-1,1,-698070,-224315163] 1
50050br (2 curves)	1	2- 5+ 7- 11+ 13+	2-  0 5+ 7- 11+ 13+  4  0
Curve Equation t Generators 50050br1 [1,-1,1,-17280,-3458653] 2 [413:7521:1] 50050br2 [1,-1,1,-465280,-121730653] 2 [-391:745:1]
50050bs (2 curves)	1	2- 5+ 7- 11+ 13+	2- -2 5+ 7- 11+ 13+  6  4
Curve Equation t Generators 50050bs1 [1,0,0,-24213,1432417] 2 [42:679:1] 50050bs2 [1,0,0,-4213,3732417] 2 [-68:-1891:1]
50050bt (4 curves)	0	2- 5+ 7- 11+ 13-	2-  0 5+ 7- 11+ 13-  6  4
Curve Equation t 50050bt1 [1,-1,1,-84130,-7851503] 4 50050bt2 [1,-1,1,-1284630,-560081503] 4 50050bt3 [1,-1,1,-1223380,-615941503] 2 50050bt4 [1,-1,1,-20553880,-35861347503] 2
50050bu (2 curves)	0	2- 5+ 7- 11+ 13-	2- -2 5+ 7- 11+ 13- -8  6
Curve Equation t 50050bu1 [1,0,0,-2565938,-1582227008] 2 50050bu2 [1,0,0,-2651688,-1470837758] 2
50050bv (1 curve)	0	2- 5+ 7- 11+ 13-	2-  3 5+ 7- 11+ 13-  3 -2
Curve Equation t 50050bv1 [1,-1,1,-555,5167] 1
50050bw (2 curves)	0	2- 5+ 7- 11- 13+	2- -2 5+ 7- 11- 13+  2  0
Curve Equation t 50050bw1 [1,0,0,-438,-3008] 2 50050bw2 [1,0,0,812,-16758] 2
50050bx (2 curves)	1	2- 5+ 7- 11- 13-	2-  2 5+ 7- 11- 13-  4 -6
Curve Equation t Generators 50050bx1 [1,1,1,-4563,-116719] 2 [81:190:1] 50050bx2 [1,1,1,-11563,317281] 2 [-35:842:1]
50050by (1 curve)	1	2- 5- 7+ 11+ 13+	2-  0 5- 7+ 11+ 13+  3  4
Curve Equation t Generators 50050by1 [1,-1,1,-14305,667697] 1 [119:740:1]
50050bz (1 curve)	0	2- 5- 7+ 11- 13+	2-  1 5- 7+ 11- 13+  5  6
Curve Equation t 50050bz1 [1,0,0,-31513,-2166983] 1
50050ca (1 curve)	1	2- 5- 7+ 11- 13-	2- -1 5- 7+ 11- 13-  3  6
Curve Equation t Generators 50050ca1 [1,1,1,262,-3369] 1 [15:57:1]
50050cb (2 curves)	0	2- 5- 7- 11+ 13+	2-  0 5- 7- 11+ 13+ -6  0
Curve Equation t 50050cb1 [1,-1,1,320,40447] 2 50050cb2 [1,-1,1,-15930,755447] 2
50050cc (2 curves)	0	2- 5- 7- 11+ 13+	2-  0 5- 7- 11+ 13+ -6  6
Curve Equation t 50050cc1 [1,-1,1,-566260315,5186616728587] 2 50050cc2 [1,-1,1,-566257515,5186670583787] 2
50050cd (2 curves)	1	2- 5- 7- 11+ 13-	2- -2 5- 7- 11+ 13-  3  8
Curve Equation t Generators 50050cd1 [1,0,0,-13,-34983] 3 [3452:201099:1] 50050cd2 [1,0,0,-81263,-8923733] 1 [1086933556:63140183875:314432]
50050ce (2 curves)	1	2- 5- 7- 11+ 13-	2- -2 5- 7- 11+ 13- -3 -4
Curve Equation t Generators 50050ce1 [1,0,0,11187,4995217] 3 [-138:979:1] 50050ce2 [1,0,0,-100813,-135833583] 1 [726:12819:1]
50050cf (2 curves)	1	2- 5- 7- 11- 13+	2-  0 5- 7- 11- 13+  2  6
Curve Equation t Generators 50050cf1 [1,-1,1,-16840,-724213] 2 [-91:265:1] 50050cf2 [1,-1,1,27960,-3949813] 2 [133:1385:1]
50050cg (1 curve)	1	2- 5- 7- 11- 13+	2- -3 5- 7- 11- 13+ -2 -8
Curve Equation t Generators 50050cg1 [1,-1,1,-39888930,112181873697] 1 [2369:-177185:1]
50050ch (2 curves)	0	2- 5- 7- 11- 13-	2-  1 5- 7- 11- 13-  3  2
Curve Equation t 50050ch1 [1,0,0,2737,297017] 3 50050ch2 [1,0,0,-24763,-8255483] 1
50050ci (2 curves)	0	2- 5- 7- 11- 13-	2- -1 5- 7- 11- 13- -2  0
Curve Equation t 50050ci1 [1,1,1,-1428,-21569] 1 50050ci2 [1,1,1,9297,722581] 5

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