Cremona's table of elliptic curves

40050 = 2 · 3² · 5² · 89

Class	r	Atkin-Lehner	Eigenvalues
40050a (2 curves)	1	2+ 3+ 5+ 89+	2+ 3+ 5+ -2  0  4  0  2
Curve Equation t Generators 40050a1 [1,-1,0,-86367,10494541] 1 [30:2801:1] 40050a2 [1,-1,0,513633,-505459] 1 [5030:357801:1]
40050b (1 curve)	2	2+ 3+ 5+ 89-	2+ 3+ 5+  2 -4  0 -8 -6
Curve Equation t Generators 40050b1 [1,-1,0,-42,656] 1 [-10:6:1]&[-2:28:1]
40050c (1 curve)	2	2+ 3+ 5- 89+	2+ 3+ 5- -2  4  0 -8 -6
Curve Equation t Generators 40050c1 [1,-1,0,-117,-2959] 1 [19:28:1]&[20:39:1]
40050d (2 curves)	1	2+ 3+ 5- 89-	2+ 3+ 5-  2  0 -4  0  2
Curve Equation t Generators 40050d1 [1,-1,0,2283,-459] 3 [34:323:1] 40050d2 [1,-1,0,-31092,-2254384] 1 [36696:1322068:27]
40050e (2 curves)	0	2+ 3- 5+ 89+	2+ 3- 5+  0  0  4  2 -2
Curve Equation t 40050e1 [1,-1,0,-10017,-329859] 2 40050e2 [1,-1,0,-154017,-23225859] 2
40050f (1 curve)	0	2+ 3- 5+ 89+	2+ 3- 5+  2  6 -3  5  0
Curve Equation t 40050f1 [1,-1,0,-162,756] 1
40050g (2 curves)	0	2+ 3- 5+ 89+	2+ 3- 5+ -2 -2 -1 -3  0
Curve Equation t 40050g1 [1,-1,0,-508752,108702976] 1 40050g2 [1,-1,0,-297871992,1978832171416] 1
40050h (2 curves)	0	2+ 3- 5+ 89+	2+ 3- 5+ -2  4  2  6 -6
Curve Equation t 40050h1 [1,-1,0,-255942,49841716] 2 40050h2 [1,-1,0,-183942,78425716] 2
40050i (1 curve)	0	2+ 3- 5+ 89+	2+ 3- 5+  4  1 -4  0 -6
Curve Equation t 40050i1 [1,-1,0,-2817,-57659] 1
40050j (2 curves)	0	2+ 3- 5+ 89+	2+ 3- 5+ -4  0  0  2  6
Curve Equation t 40050j1 [1,-1,0,-94167,-10932759] 2 40050j2 [1,-1,0,-1500417,-707026509] 2
40050k (2 curves)	1	2+ 3- 5+ 89-	2+ 3- 5+  0  0  0  2 -6
Curve Equation t Generators 40050k1 [1,-1,0,-32292,-2208384] 2 [-858:1329:8] 40050k2 [1,-1,0,-9792,-5245884] 2 [304:-4602:1]
40050l (1 curve)	1	2+ 3- 5+ 89-	2+ 3- 5+ -1 -1  2  2  8
Curve Equation t Generators 40050l1 [1,-1,0,333,31] 1 [23:128:1]
40050m (2 curves)	1	2+ 3- 5+ 89-	2+ 3- 5+  2 -4 -4  2 -4
Curve Equation t Generators 40050m1 [1,-1,0,-1917,10741] 2 [-1:113:1] 40050m2 [1,-1,0,-24417,1473241] 2 [104:-277:1]
40050n (2 curves)	1	2+ 3- 5+ 89-	2+ 3- 5+ -2 -4  6 -6 -2
Curve Equation t Generators 40050n1 [1,-1,0,-1167,1241] 2 [-16:133:1] 40050n2 [1,-1,0,-12417,-527509] 2 [-61:43:1]
40050o (2 curves)	1	2+ 3- 5+ 89-	2+ 3- 5+  3  3 -6  2  0
Curve Equation t Generators 40050o1 [1,-1,0,195498,-79625484] 1 [146769361710:-4113582466089:226981000] 40050o2 [1,-1,0,-19490742,33522608916] 1 [-30066:1868547:8]
40050p (1 curve)	1	2+ 3- 5+ 89-	2+ 3- 5+ -3 -5 -2  2 -4
Curve Equation t Generators 40050p1 [1,-1,0,-747,-11259] 1 [45:189:1]
40050q (4 curves)	1	2+ 3- 5+ 89-	2+ 3- 5+  4  0  4 -6  2
Curve Equation t Generators 40050q1 [1,-1,0,-221704542,-1270547931884] 2 [6808666574702724908484:171037017859731985440758:389322431600357871] 40050q2 [1,-1,0,-221614542,-1271631081884] 2 [1551477628688224:324968928603552538:31584462281] 40050q3 [1,-1,0,-229267917,-1179208879259] 2 [909307097118:-297184925548559:8365427] 40050q4 [1,-1,0,346732083,-6151816879259] 2 [4885062:441489469:343]
40050r (1 curve)	1	2+ 3- 5- 89+	2+ 3- 5-  0  0 -1  7  8
Curve Equation t Generators 40050r1 [1,-1,0,-267,1691] 1 [5:19:1]
40050s (1 curve)	1	2+ 3- 5- 89+	2+ 3- 5-  4  2  2 -2  4
Curve Equation t Generators 40050s1 [1,-1,0,35883,2775541] 1 [-6:1603:1]
40050t (2 curves)	0	2+ 3- 5- 89-	2+ 3- 5-  0 -2  2 -2  2
Curve Equation t 40050t1 [1,-1,0,3258,-227084] 2 40050t2 [1,-1,0,-41742,-2972084] 2
40050u (1 curve)	0	2- 3+ 5+ 89+	2- 3+ 5+  2  4  0  8 -6
Curve Equation t 40050u1 [1,-1,1,-5,-23] 1
40050v (2 curves)	1	2- 3+ 5+ 89-	2- 3+ 5+ -2  0  4  0  2
Curve Equation t Generators 40050v1 [1,-1,1,57070,-303] 1 [5:531:1] 40050v2 [1,-1,1,-777305,-282575303] 1 [1255:26156:1]
40050w (2 curves)	1	2- 3+ 5- 89+	2- 3+ 5-  2  0 -4  0  2
Curve Equation t Generators 40050w1 [1,-1,1,-3455,84647] 3 [-45:406:1] 40050w2 [1,-1,1,20545,-8153] 1 [55:1106:1]
40050x (1 curve)	0	2- 3+ 5- 89-	2- 3+ 5- -2 -4  0  8 -6
Curve Equation t 40050x1 [1,-1,1,-1055,80947] 1
40050y (1 curve)	1	2- 3- 5+ 89+	2- 3- 5+  0  0  1 -7  8
Curve Equation t Generators 40050y1 [1,-1,1,-6680,204697] 1 [-674780:3559981:8000]
40050z (1 curve)	1	2- 3- 5+ 89+	2- 3- 5+  0 -3  4 -4  2
Curve Equation t Generators 40050z1 [1,-1,1,2770,-305603] 1 [89:755:1]
40050ba (2 curves)	1	2- 3- 5+ 89+	2- 3- 5+  2  4  0 -2 -4
Curve Equation t Generators 40050ba1 [1,-1,1,-3155,-56653] 2 [-41:70:1] 40050ba2 [1,-1,1,5845,-326653] 2 [49:250:1]
40050bb (4 curves)	1	2- 3- 5+ 89+	2- 3- 5+  4  4  2 -6  0
Curve Equation t Generators 40050bb1 [1,-1,1,-424130,-83101503] 2 [-261:3255:1] 40050bb2 [1,-1,1,-2224130,1205698497] 4 [1179:14285:1] 40050bb3 [1,-1,1,1780870,5066518497] 2 [-156303:22201355:343] 40050bb4 [1,-1,1,-35029130,79806478497] 2 [2339:102105:1]
40050bc (1 curve)	1	2- 3- 5+ 89+	2- 3- 5+ -4  2 -2  2  4
Curve Equation t Generators 40050bc1 [1,-1,1,1435,21917] 1 [3:160:1]
40050bd (4 curves)	1	2- 3- 5+ 89+	2- 3- 5+ -4  4 -6  2  0
Curve Equation t Generators 40050bd1 [1,-1,1,-11630,-464003] 2 [-61:155:1] 40050bd2 [1,-1,1,-29630,1335997] 4 [-41:1595:1] 40050bd3 [1,-1,1,82870,8985997] 2 [209:5845:1] 40050bd4 [1,-1,1,-430130,108669997] 2 [493:3785:1]
40050be (4 curves)	1	2- 3- 5+ 89+	2- 3- 5+ -4 -4 -2  2  4
Curve Equation t Generators 40050be1 [1,-1,1,-191255,30121247] 2 [309:520:1] 40050be2 [1,-1,1,-3003755,2004496247] 4 [-12258:444875:8] 40050be3 [1,-1,1,-2947505,2083133747] 2 [2421594084:-317481022685:140608] 40050be4 [1,-1,1,-48060005,128252108747] 2 [141534:-17625685:8]
40050bf (2 curves)	0	2- 3- 5+ 89-	2- 3- 5+  2  0  6 -2  6
Curve Equation t 40050bf1 [1,-1,1,-3376130,-1681685503] 2 40050bf2 [1,-1,1,-49456130,-133839125503] 2
40050bg (2 curves)	0	2- 3- 5+ 89-	2- 3- 5+  2  3  6 -2  0
Curve Equation t 40050bg1 [1,-1,1,2245,-483253] 1 40050bg2 [1,-1,1,-459005,125809247] 1
40050bh (4 curves)	0	2- 3- 5+ 89-	2- 3- 5+ -2  0 -2  6  2
Curve Equation t 40050bh1 [1,-1,1,-379130,79861497] 2 40050bh2 [1,-1,1,-1504130,-626638503] 2 40050bh3 [1,-1,1,-29741630,62437711497] 2 40050bh4 [1,-1,1,-29752880,62388121497] 2
40050bi (2 curves)	0	2- 3- 5+ 89-	2- 3- 5+  4  6 -2  3  5
Curve Equation t 40050bi1 [1,-1,1,1345,95847] 1 40050bi2 [1,-1,1,-124655,16979847] 1
40050bj (2 curves)	0	2- 3- 5- 89+	2- 3- 5-  2 -2  1  3  0
Curve Equation t 40050bj1 [1,-1,1,-11914880,15833040347] 1 40050bj2 [1,-1,1,-12718805,13575153197] 1
40050bk (1 curve)	0	2- 3- 5- 89+	2- 3- 5- -2  6  3 -5  0
Curve Equation t 40050bk1 [1,-1,1,-4055,90447] 1
40050bl (2 curves)	1	2- 3- 5- 89-	2- 3- 5-  0 -2 -2  2  2
Curve Equation t Generators 40050bl1 [1,-1,1,130,-1843] 2 [19:75:1] 40050bl2 [1,-1,1,-1670,-23443] 2 [-21:55:1]
40050bm (1 curve)	1	2- 3- 5- 89-	2- 3- 5-  1 -1 -2 -2  8
Curve Equation t Generators 40050bm1 [1,-1,1,8320,12197] 1 [3285822:112875929:405224]
40050bn (1 curve)	1	2- 3- 5- 89-	2- 3- 5-  3 -5  2 -2 -4
Curve Equation t Generators 40050bn1 [1,-1,1,-18680,-1426053] 1 [269:-3735:1]
40050bo (2 curves)	1	2- 3- 5- 89-	2- 3- 5- -3  3  6 -2  0
Curve Equation t Generators 40050bo1 [1,-1,1,-779630,268336797] 1 [2813:141171:1] 40050bo2 [1,-1,1,4887445,-9948298053] 1 [2603:141546:1]

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