Cremona's table of elliptic curves

38850 = 2 · 3 · 5² · 7 · 37

Class	r	Atkin-Lehner	Eigenvalues
38850a (6 curves)	1	2+ 3+ 5+ 7+ 37+	2+ 3+ 5+ 7+  0  4  6  2
Curve Equation t Generators 38850a1 [1,1,0,229975,81685125] 2 [-6765:81695:27] 38850a2 [1,1,0,-2010025,926165125] 2 [615315:92407630:27] 38850a3 [1,1,0,-2146025,-2699746875] 2 [8157378150:1224779169225:357911] 38850a4 [1,1,0,-45021025,-116189871875] 2 [35502099289971205425:5132734361830029407450:1530138017354337] 38850a5 [1,1,0,-227864525,-1324020492375] 2 [103507073097375315602025293674660635:-33279054789059207633807450805357838130:982675621753758154218638858607] 38850a6 [1,1,0,-3645833275,-84732711898625] 2 [5036355481850996155560018679279551667274882963290612859025735:-1374902672737927417505354293305533642811361698540782188372469030:44526699340681839330359946043509058552679728845729081273]
38850b (2 curves)	1	2+ 3+ 5+ 7+ 37+	2+ 3+ 5+ 7+ -3  4 -3 -4
Curve Equation t Generators 38850b1 [1,1,0,600,72000] 1 [80:760:1] 38850b2 [1,1,0,-5400,-1950000] 1 [140:180:1]
38850c (6 curves)	1	2+ 3+ 5+ 7+ 37+	2+ 3+ 5+ 7+  4  2 -2 -4
Curve Equation t Generators 38850c1 [1,1,0,-44625,3583125] 2 [-126:2751:1] 38850c2 [1,1,0,-76625,-2272875] 4 [-151:2501:1] 38850c3 [1,1,0,293375,-17442875] 2 [815:27230:1] 38850c4 [1,1,0,-958625,-361246875] 4 [-551:501:1] 38850c5 [1,1,0,-696125,-563109375] 2 [51949:-11864950:1] 38850c6 [1,1,0,-15333125,-23116080375] 2 [-155846371:78193450:68921]
38850d (3 curves)	1	2+ 3+ 5+ 7+ 37+	2+ 3+ 5+ 7+ -6  4  0 -7
Curve Equation t Generators 38850d1 [1,1,0,-119175,15931125] 1 [209:351:1] 38850d2 [1,1,0,393825,83350125] 1 [29861611:2447147360:205379] 38850d3 [1,1,0,-3979425,-4361672625] 1 [121390810159727798440621469:-112328470176176496411326254160:141920610180345576091]
38850e (2 curves)	0	2+ 3+ 5+ 7+ 37-	2+ 3+ 5+ 7+  2 -4  2 -4
Curve Equation t 38850e1 [1,1,0,-3675,-91875] 2 38850e2 [1,1,0,-59675,-5635875] 2
38850f (2 curves)	0	2+ 3+ 5+ 7+ 37-	2+ 3+ 5+ 7+ -2  4 -6  0
Curve Equation t 38850f1 [1,1,0,-14583275,21429568125] 2 38850f2 [1,1,0,-233333275,1371773318125] 2
38850g (2 curves)	0	2+ 3+ 5+ 7+ 37-	2+ 3+ 5+ 7+  4  4  0  6
Curve Equation t 38850g1 [1,1,0,-1200,-18000] 2 38850g2 [1,1,0,-19700,-1072500] 2
38850h (1 curve)	0	2+ 3+ 5+ 7+ 37-	2+ 3+ 5+ 7+ -5  4  3  0
Curve Equation t 38850h1 [1,1,0,-43750,39812500] 1
38850i (4 curves)	0	2+ 3+ 5+ 7- 37+	2+ 3+ 5+ 7-  0  6  6 -4
Curve Equation t 38850i1 [1,1,0,-10250,-403500] 2 38850i2 [1,1,0,-12250,-237500] 4 38850i3 [1,1,0,43250,-1736000] 2 38850i4 [1,1,0,-99750,11925000] 2
38850j (1 curve)	0	2+ 3+ 5+ 7- 37+	2+ 3+ 5+ 7- -3  0  3 -4
Curve Equation t 38850j1 [1,1,0,-7037250,10025536500] 1
38850k (4 curves)	0	2+ 3+ 5+ 7- 37+	2+ 3+ 5+ 7-  4 -2  2  8
Curve Equation t 38850k1 [1,1,0,179225,-105756875] 2 38850k2 [1,1,0,-2558775,-1450114875] 4 38850k3 [1,1,0,-8904275,8582120625] 2 38850k4 [1,1,0,-40021275,-97466502375] 2
38850l (2 curves)	1	2+ 3+ 5+ 7- 37-	2+ 3+ 5+ 7-  0  0  2 -6
Curve Equation t Generators 38850l1 [1,1,0,-32650,3404500] 2 [-45:2210:1] 38850l2 [1,1,0,-592650,175324500] 2 [595:5515:1]
38850m (1 curve)	1	2+ 3+ 5+ 7- 37-	2+ 3+ 5+ 7- -1  4 -3  4
Curve Equation t Generators 38850m1 [1,1,0,-884025,319555125] 1 [530:235:1]
38850n (1 curve)	1	2+ 3+ 5+ 7- 37-	2+ 3+ 5+ 7- -2 -5 -7  0
Curve Equation t Generators 38850n1 [1,1,0,-290,29820] 1 [51:-414:1]
38850o (2 curves)	1	2+ 3+ 5+ 7- 37-	2+ 3+ 5+ 7-  4  4  2 -6
Curve Equation t Generators 38850o1 [1,1,0,-114275,-14941875] 2 [565:9780:1] 38850o2 [1,1,0,-1829275,-953046875] 2 [2525:101375:1]
38850p (1 curve)	1	2+ 3+ 5+ 7- 37-	2+ 3+ 5+ 7- -4 -2  6  1
Curve Equation t Generators 38850p1 [1,1,0,950,44500] 1 [-42:1609:8]
38850q (1 curve)	1	2+ 3+ 5+ 7- 37-	2+ 3+ 5+ 7-  6  0  2  3
Curve Equation t Generators 38850q1 [1,1,0,1300,-10380] 1 [11:68:1]
38850r (1 curve)	0	2+ 3+ 5- 7+ 37+	2+ 3+ 5- 7+  0  3 -3 -6
Curve Equation t 38850r1 [1,1,0,-929700,346194000] 1
38850s (1 curve)	0	2+ 3+ 5- 7+ 37+	2+ 3+ 5- 7+  4 -1  5 -2
Curve Equation t 38850s1 [1,1,0,-1925,-33075] 1
38850t (1 curve)	2	2+ 3+ 5- 7+ 37+	2+ 3+ 5- 7+ -4 -6  0  3
Curve Equation t Generators 38850t1 [1,1,0,-2075,142125] 1 [35:-355:1]&[-46:401:1]
38850u (1 curve)	1	2+ 3+ 5- 7+ 37-	2+ 3+ 5- 7+  2  1 -3  6
Curve Equation t Generators 38850u1 [1,1,0,-156800,-3241350] 1 [-245:4655:1]
38850v (1 curve)	1	2+ 3+ 5- 7- 37+	2+ 3+ 5- 7-  0 -3  0  0
Curve Equation t Generators 38850v1 [1,1,0,-5575,167125] 1 [85:520:1]
38850w (1 curve)	1	2+ 3+ 5- 7- 37+	2+ 3+ 5- 7-  2 -5 -7  6
Curve Equation t Generators 38850w1 [1,1,0,-5875,-175475] 1 [-45:40:1]
38850x (2 curves)	0	2+ 3+ 5- 7- 37-	2+ 3+ 5- 7- -4 -2  6 -4
Curve Equation t 38850x1 [1,1,0,425,-5375] 2 38850x2 [1,1,0,-3325,-61625] 2
38850y (1 curve)	0	2+ 3+ 5- 7- 37-	2+ 3+ 5- 7- -4  5 -3 -2
Curve Equation t 38850y1 [1,1,0,-2369075,484342125] 1
38850z (1 curve)	0	2+ 3- 5+ 7+ 37+	2+ 3- 5+ 7+ -1  2  3  6
Curve Equation t 38850z1 [1,0,1,8065124,958087898] 1
38850ba (1 curve)	0	2+ 3- 5+ 7+ 37+	2+ 3- 5+ 7+ -2  3 -3 -2
Curve Equation t 38850ba1 [1,0,1,-4913996,4105646858] 1
38850bb (4 curves)	0	2+ 3- 5+ 7+ 37+	2+ 3- 5+ 7+  4 -6 -6  4
Curve Equation t 38850bb1 [1,0,1,-526,-31552] 2 38850bb2 [1,0,1,-18526,-967552] 4 38850bb3 [1,0,1,-29026,250448] 2 38850bb4 [1,0,1,-296026,-62017552] 2
38850bc (1 curve)	0	2+ 3- 5+ 7+ 37+	2+ 3- 5+ 7+ -4 -1  6  0
Curve Equation t 38850bc1 [1,0,1,-42626,3832148] 1
38850bd (2 curves)	1	2+ 3- 5+ 7+ 37-	2+ 3- 5+ 7+  2 -2  2 -2
Curve Equation t Generators 38850bd1 [1,0,1,-26133276,51419012698] 2 [13169186:-129929237:4913] 38850bd2 [1,0,1,-418133276,3290907012698] 2 [10722:-206174:1]
38850be (1 curve)	1	2+ 3- 5+ 7+ 37-	2+ 3- 5+ 7+  2  4 -4 -5
Curve Equation t Generators 38850be1 [1,0,1,-176,998] 1 [-4:42:1]
38850bf (1 curve)	1	2+ 3- 5+ 7+ 37-	2+ 3- 5+ 7+ -3 -2 -3 -2
Curve Equation t Generators 38850bf1 [1,0,1,5974,40448] 1 [147:-2099:1]
38850bg (1 curve)	1	2+ 3- 5+ 7+ 37-	2+ 3- 5+ 7+ -4  1  2  4
Curve Equation t Generators 38850bg1 [1,0,1,20849,-5834302] 1 [172:1601:1]
38850bh (2 curves)	1	2+ 3- 5+ 7+ 37-	2+ 3- 5+ 7+ -4  4  8 -2
Curve Equation t Generators 38850bh1 [1,0,1,59049,-413702] 2 [3143:175164:1] 38850bh2 [1,0,1,-236951,-3373702] 2 [-33:2116:1]
38850bi (1 curve)	1	2+ 3- 5+ 7+ 37-	2+ 3- 5+ 7+ -6  4  6 -5
Curve Equation t Generators 38850bi1 [1,0,1,-89076,20013298] 1 [481:9167:1]
38850bj (4 curves)	1	2+ 3- 5+ 7- 37+	2+ 3- 5+ 7-  0  2 -2  0
Curve Equation t Generators 38850bj1 [1,0,1,1999,28148] 2 [23:282:1] 38850bj2 [1,0,1,-10501,253148] 4 [-39:796:1] 38850bj3 [1,0,1,-71751,-7219352] 2 [332:2196:1] 38850bj4 [1,0,1,-149251,22175648] 2 [336:2992:1]
38850bk (1 curve)	1	2+ 3- 5+ 7- 37+	2+ 3- 5+ 7-  0  3 -7 -2
Curve Equation t Generators 38850bk1 [1,0,1,-36,28] 1 [-4:12:1]
38850bl (1 curve)	1	2+ 3- 5+ 7- 37+	2+ 3- 5+ 7- -4  6 -2 -1
Curve Equation t Generators 38850bl1 [1,0,1,-10126,-504352] 1 [328:5447:1]
38850bm (1 curve)	0	2+ 3- 5+ 7- 37-	2+ 3- 5+ 7-  2  1  1 -2
Curve Equation t 38850bm1 [1,0,1,-4176,-104162] 1
38850bn (1 curve)	0	2+ 3- 5+ 7- 37-	2+ 3- 5+ 7-  5 -2  7 -2
Curve Equation t 38850bn1 [1,0,1,-6626,220148] 1
38850bo (2 curves)	0	2+ 3- 5+ 7- 37-	2+ 3- 5+ 7-  6  4 -6 -4
Curve Equation t 38850bo1 [1,0,1,-176,-2002] 2 38850bo2 [1,0,1,-3676,-86002] 2
38850bp (1 curve)	0	2+ 3- 5- 7+ 37-	2+ 3- 5- 7+  4 -3  0  8
Curve Equation t 38850bp1 [1,0,1,-1402451,-1417566202] 1
38850bq (1 curve)	1	2+ 3- 5- 7- 37-	2+ 3- 5- 7-  0 -7  7 -2
Curve Equation t Generators 38850bq1 [1,0,1,61499,-18059152] 1 [226:2606:1]
38850br (2 curves)	1	2+ 3- 5- 7- 37-	2+ 3- 5- 7-  3 -1 -6 -4
Curve Equation t Generators 38850br1 [1,0,1,-5079826,4415328548] 3 [1213:-6823:1] 38850br2 [1,0,1,9280799,22207518548] 1 [25963:4201802:1]
38850bs (2 curves)	1	2+ 3- 5- 7- 37-	2+ 3- 5- 7- -3  5 -6  8
Curve Equation t Generators 38850bs1 [1,0,1,-276,3298] 3 [-19:51:1] 38850bs2 [1,0,1,2349,-66002] 1 [31:176:1]
38850bt (2 curves)	0	2- 3+ 5+ 7+ 37+	2- 3+ 5+ 7+  0  1 -6  8
Curve Equation t 38850bt1 [1,1,1,1037,-55969] 1 38850bt2 [1,1,1,-85588,-9679219] 1
38850bu (2 curves)	0	2- 3+ 5+ 7+ 37+	2- 3+ 5+ 7+  0  4  2 -2
Curve Equation t 38850bu1 [1,1,1,-63,13281] 2 38850bu2 [1,1,1,-8813,310781] 2
38850bv (1 curve)	0	2- 3+ 5+ 7+ 37+	2- 3+ 5+ 7+  0  7 -7 -2
Curve Equation t 38850bv1 [1,1,1,1537487,-2257393969] 1
38850bw (2 curves)	0	2- 3+ 5+ 7+ 37+	2- 3+ 5+ 7+  3  1  6 -4
Curve Equation t 38850bw1 [1,1,1,-203193,35241351] 1 38850bw2 [1,1,1,371232,177808641] 1
38850bx (2 curves)	0	2- 3+ 5+ 7+ 37+	2- 3+ 5+ 7+ -3 -5  6  8
Curve Equation t 38850bx1 [1,1,1,-6888,412281] 1 38850bx2 [1,1,1,58737,-8250219] 1
38850by (2 curves)	1	2- 3+ 5+ 7+ 37-	2- 3+ 5+ 7+  2  0  6 -8
Curve Equation t Generators 38850by1 [1,1,1,30712,1116281] 2 [55:1697:1] 38850by2 [1,1,1,-140788,9348281] 2 [11775:144749:27]
38850bz (2 curves)	1	2- 3+ 5+ 7+ 37-	2- 3+ 5+ 7+ -4 -4 -4  2
Curve Equation t Generators 38850bz1 [1,1,1,4187,-3048469] 2 [185:1932:1] 38850bz2 [1,1,1,-291813,-59288469] 2 [-315:1382:1]
38850ca (1 curve)	1	2- 3+ 5+ 7+ 37-	2- 3+ 5+ 7+ -4  6  6  7
Curve Equation t Generators 38850ca1 [1,1,1,-15813,758781] 1 [1038:7119:8]
38850cb (4 curves)	1	2- 3+ 5+ 7- 37+	2- 3+ 5+ 7-  0  2 -2  4
Curve Equation t Generators 38850cb1 [1,1,1,-2538,23031] 2 [9:27:1] 38850cb2 [1,1,1,-34538,2455031] 4 [135:-593:1] 38850cb3 [1,1,1,-28538,3343031] 2 [95:-1273:1] 38850cb4 [1,1,1,-552538,157855031] 2 [431:-135:1]
38850cc (1 curve)	1	2- 3+ 5+ 7- 37+	2- 3+ 5+ 7- -1 -4 -1  0
Curve Equation t Generators 38850cc1 [1,1,1,-26962688,-53932472719] 1 [17015:2092367:1]
38850cd (1 curve)	1	2- 3+ 5+ 7- 37+	2- 3+ 5+ 7- -6 -4  4 -5
Curve Equation t Generators 38850cd1 [1,1,1,437,5531] 1 [5590:87207:1000]
38850ce (1 curve)	1	2- 3+ 5- 7+ 37+	2- 3+ 5- 7+  2 -1 -1 -2
Curve Equation t Generators 38850ce1 [1,1,1,-104388,-13020219] 1 [-189:143:1]
38850cf (1 curve)	0	2- 3+ 5- 7+ 37-	2- 3+ 5- 7+  0 -3  7 -2
Curve Equation t 38850cf1 [1,1,1,-888,3531] 1
38850cg (1 curve)	0	2- 3+ 5- 7- 37+	2- 3+ 5- 7-  4  3  0  8
Curve Equation t 38850cg1 [1,1,1,-56098,-11362969] 1
38850ch (1 curve)	2	2- 3+ 5- 7- 37+	2- 3+ 5- 7- -6 -4 -6 -5
Curve Equation t Generators 38850ch1 [1,1,1,-3563,158681] 1 [-5:422:1]&[51:310:1]
38850ci (1 curve)	1	2- 3+ 5- 7- 37-	2- 3+ 5- 7- -2 -3  3 -2
Curve Equation t Generators 38850ci1 [1,1,1,-122849888,513205857281] 1 [-3715:960157:1]
38850cj (1 curve)	1	2- 3- 5+ 7+ 37+	2- 3- 5+ 7+  0  2  2 -7
Curve Equation t Generators 38850cj1 [1,0,0,1312,-91008] 1 [108:1092:1]
38850ck (1 curve)	1	2- 3- 5+ 7+ 37+	2- 3- 5+ 7+ -4 -5  3 -2
Curve Equation t Generators 38850ck1 [1,0,0,-94763,3874737] 1 [-254:3529:1]
38850cl (1 curve)	0	2- 3- 5+ 7+ 37-	2- 3- 5+ 7+ -1 -2 -7 -2
Curve Equation t 38850cl1 [1,0,0,-647588,-41144660208] 1
38850cm (1 curve)	0	2- 3- 5+ 7+ 37-	2- 3- 5+ 7+  2  5  7  6
Curve Equation t 38850cm1 [1,0,0,-146888,-21640608] 1
38850cn (4 curves)	0	2- 3- 5+ 7+ 37-	2- 3- 5+ 7+ -4 -2  2  4
Curve Equation t 38850cn1 [1,0,0,12062,359492] 4 38850cn2 [1,0,0,-59938,3167492] 4 38850cn3 [1,0,0,-434938,-108207508] 2 38850cn4 [1,0,0,-836938,294542492] 2
38850co (4 curves)	0	2- 3- 5+ 7- 37+	2- 3- 5+ 7-  0  2  2 -4
Curve Equation t 38850co1 [1,0,0,1544287,120927417] 2 38850co2 [1,0,0,-6268213,972489917] 4 38850co3 [1,0,0,-62924463,-191148853833] 2 38850co4 [1,0,0,-74611963,247625083667] 2
38850cp (1 curve)	0	2- 3- 5+ 7- 37+	2- 3- 5+ 7-  2 -1  3  6
Curve Equation t 38850cp1 [1,0,0,-3920013,-397328733] 1
38850cq (1 curve)	0	2- 3- 5+ 7- 37+	2- 3- 5+ 7-  5  2 -3  6
Curve Equation t 38850cq1 [1,0,0,-562463,-164876583] 1
38850cr (1 curve)	1	2- 3- 5+ 7- 37-	2- 3- 5+ 7-  0 -3  3 -6
Curve Equation t Generators 38850cr1 [1,0,0,-37188,2769552] 1 [66:744:1]
38850cs (2 curves)	1	2- 3- 5+ 7- 37-	2- 3- 5+ 7-  2 -2 -2 -2
Curve Equation t Generators 38850cs1 [1,0,0,25812,2950992] 2 [612:-16056:1] 38850cs2 [1,0,0,-219188,33085992] 2 [682:-14516:1]
38850ct (2 curves)	1	2- 3- 5+ 7- 37-	2- 3- 5+ 7- -2  4 -2  4
Curve Equation t Generators 38850ct1 [1,0,0,-95531188,359917134992] 2 [6632:-137716:1] 38850ct2 [1,0,0,-1529131188,23015097934992] 2 [22632:-25716:1]
38850cu (1 curve)	1	2- 3- 5+ 7- 37-	2- 3- 5+ 7-  3 -6  3 -6
Curve Equation t Generators 38850cu1 [1,0,0,-4813,-129883] 1 [122:-1111:1]
38850cv (1 curve)	1	2- 3- 5+ 7- 37-	2- 3- 5+ 7-  4  1 -5 -2
Curve Equation t Generators 38850cv1 [1,0,0,-48138,-4038108] 1 [-124:230:1]
38850cw (4 curves)	1	2- 3- 5+ 7- 37-	2- 3- 5+ 7- -4 -2 -2  4
Curve Equation t Generators 38850cw1 [1,0,0,160912,70209792] 2 [-32:8080:1] 38850cw2 [1,0,0,-1887088,895553792] 4 [392:14504:1] 38850cw3 [1,0,0,-7215088,-6505038208] 2 [-1384:-28120:1] 38850cw4 [1,0,0,-29327088,61126353792] 2 [-3108:351204:1]
38850cx (1 curve)	1	2- 3- 5+ 7- 37-	2- 3- 5+ 7- -4 -3  6  0
Curve Equation t Generators 38850cx1 [1,0,0,-965713,-514362583] 1 [2372:-103861:1]
38850cy (1 curve)	1	2- 3- 5+ 7- 37-	2- 3- 5+ 7- -4  6  0  3
Curve Equation t Generators 38850cy1 [1,0,0,-83,1137] 1 [16:-71:1]
38850cz (1 curve)	0	2- 3- 5- 7+ 37+	2- 3- 5- 7+ -2  5  7  0
Curve Equation t 38850cz1 [1,0,0,-7263,3742017] 1
38850da (2 curves)	0	2- 3- 5- 7+ 37+	2- 3- 5- 7+ -4  2 -6 -4
Curve Equation t 38850da1 [1,0,0,17,-43] 2 38850da2 [1,0,0,-133,-493] 2
38850db (1 curve)	0	2- 3- 5- 7+ 37+	2- 3- 5- 7+  6  0 -2  3
Curve Equation t 38850db1 [1,0,0,32487,-1362483] 1
38850dc (1 curve)	1	2- 3- 5- 7+ 37-	2- 3- 5- 7+  0  3  0  0
Curve Equation t Generators 38850dc1 [1,0,0,-223,1337] 1 [2:29:1]

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