Cremona's table of elliptic curves

8550 = 2 · 3² · 5² · 19

Class	r	Atkin-Lehner	Eigenvalues
8550a (2 curves)	1	2+ 3+ 5+ 19+	2+ 3+ 5+  0  2  4  0 19+
Curve Equation t Generators 8550a1 [1,-1,0,-717,-559] 2 [-1:13:1] 8550a2 [1,-1,0,-7467,249191] 2 [19:328:1]
8550b (2 curves)	1	2+ 3+ 5+ 19+	2+ 3+ 5+  4 -6  0 -4 19+
Curve Equation t Generators 8550b1 [1,-1,0,-1542,-7884] 2 [-11:93:1] 8550b2 [1,-1,0,-13542,604116] 2 [-21:948:1]
8550c (2 curves)	0	2+ 3+ 5+ 19-	2+ 3+ 5+  2  2  4  6 19-
Curve Equation t 8550c1 [1,-1,0,18183,-656659] 2 8550c2 [1,-1,0,-89817,-5732659] 2
8550d (1 curve)	0	2+ 3- 5+ 19+	2+ 3- 5+  1  0  3 -7 19+
Curve Equation t 8550d1 [1,-1,0,333,-4509] 1
8550e (2 curves)	0	2+ 3- 5+ 19+	2+ 3- 5+ -2  3 -6  2 19+
Curve Equation t 8550e1 [1,-1,0,42948,-214704] 1 8550e2 [1,-1,0,-4471992,3641708916] 1
8550f (2 curves)	0	2+ 3- 5+ 19+	2+ 3- 5+ -2  6  0  2 19+
Curve Equation t 8550f1 [1,-1,0,-22167,-1388259] 2 8550f2 [1,-1,0,-364167,-84494259] 2
8550g (4 curves)	0	2+ 3- 5+ 19+	2+ 3- 5+  4  4  6 -6 19+
Curve Equation t 8550g1 [1,-1,0,2808,49216] 2 8550g2 [1,-1,0,-15192,463216] 4 8550g3 [1,-1,0,-100692,-11934284] 2 8550g4 [1,-1,0,-217692,39140716] 2
8550h (4 curves)	0	2+ 3- 5+ 19+	2+ 3- 5+ -4  0 -2 -2 19+
Curve Equation t 8550h1 [1,-1,0,827208,1737783616] 2 8550h2 [1,-1,0,-17604792,26934327616] 4 8550h3 [1,-1,0,-52596792,-113348600384] 2 8550h4 [1,-1,0,-277524792,1779574887616] 2
8550i (3 curves)	1	2+ 3- 5+ 19-	2+ 3- 5+  1  6 -5  3 19-
Curve Equation t Generators 8550i1 [1,-1,0,-3492,-78584] 1 [3333:29821:27] 8550i2 [1,-1,0,2133,-302459] 1 [189:2518:1] 8550i3 [1,-1,0,-19242,8268916] 1 [1422:25139:8]
8550j (2 curves)	1	2+ 3- 5+ 19-	2+ 3- 5+  2  2  0 -2 19-
Curve Equation t Generators 8550j1 [1,-1,0,-3942,-256284] 2 [99:513:1] 8550j2 [1,-1,0,-89442,-10259784] 2 [-171:198:1]
8550k (2 curves)	1	2+ 3- 5+ 19-	2+ 3- 5+  2 -4  6  4 19-
Curve Equation t Generators 8550k1 [1,-1,0,-17667,3174741] 2 [-141:1758:1] 8550k2 [1,-1,0,-449667,115926741] 2 [349:1013:1]
8550l (4 curves)	1	2+ 3- 5+ 19-	2+ 3- 5+ -2  0 -2  0 19-
Curve Equation t Generators 8550l1 [1,-1,0,-5067,-1713659] 2 [158:1109:1] 8550l2 [1,-1,0,-248067,-47154659] 2 [-271:473:1] 8550l3 [1,-1,0,45558,46025716] 2 [-91:6458:1] 8550l4 [1,-1,0,-1682442,811529716] 2 [-721:40973:1]
8550m (2 curves)	1	2+ 3- 5+ 19-	2+ 3- 5+ -2 -3 -2  6 19-
Curve Equation t Generators 8550m1 [1,-1,0,63,-239] 1 [8:23:1] 8550m2 [1,-1,0,-612,9616] 1 [80:644:1]
8550n (2 curves)	1	2+ 3- 5+ 19-	2+ 3- 5+ -4 -4  0 -2 19-
Curve Equation t Generators 8550n1 [1,-1,0,-21492,1217916] 2 [9:1008:1] 8550n2 [1,-1,0,-19242,1481166] 2 [15:1086:1]
8550o (1 curve)	1	2+ 3- 5- 19+	2+ 3- 5-  0 -1 -4  4 19+
Curve Equation t Generators 8550o1 [1,-1,0,8883,1533541] 1 [-22:1163:1]
8550p (2 curves)	1	2+ 3- 5- 19+	2+ 3- 5-  0  4  2  6 19+
Curve Equation t Generators 8550p1 [1,-1,0,-1422,-21164] 2 [89:698:1] 8550p2 [1,-1,0,-23022,-1338764] 2 [185:749:1]
8550q (2 curves)	1	2+ 3- 5- 19+	2+ 3- 5-  0  4 -4 -6 19+
Curve Equation t Generators 8550q1 [1,-1,0,37008,-1712084] 2 [215:3911:1] 8550q2 [1,-1,0,-176742,-14750834] 2 [465:1624:1]
8550r (1 curve)	0	2+ 3- 5- 19-	2+ 3- 5- -4  1  0  8 19-
Curve Equation t 8550r1 [1,-1,0,-4617,-124659] 1
8550s (2 curves)	0	2- 3+ 5+ 19+	2- 3+ 5+  0 -2  4  0 19+
Curve Equation t 8550s1 [1,-1,1,-80,47] 2 8550s2 [1,-1,1,-830,-8953] 2
8550t (2 curves)	0	2- 3+ 5+ 19+	2- 3+ 5+  4  6  0  4 19+
Curve Equation t 8550t1 [1,-1,1,-13880,226747] 2 8550t2 [1,-1,1,-121880,-16189253] 2
8550u (2 curves)	1	2- 3+ 5+ 19-	2- 3+ 5+  2 -2  4 -6 19-
Curve Equation t Generators 8550u1 [1,-1,1,2020,23647] 2 [13:221:1] 8550u2 [1,-1,1,-9980,215647] 2 [-1:475:1]
8550v (1 curve)	1	2- 3- 5+ 19+	2- 3- 5+  0 -1  4 -4 19+
Curve Equation t Generators 8550v1 [1,-1,1,355,12197] 1 [15:136:1]
8550w (4 curves)	1	2- 3- 5+ 19+	2- 3- 5+  0  4 -2 -6 19+
Curve Equation t Generators 8550w1 [1,-1,1,-79205,7728797] 2 [63:1696:1] 8550w2 [1,-1,1,-1231205,526128797] 4 [339:11980:1] 8550w3 [1,-1,1,-19699205,33657720797] 2 [2563:-1260:1] 8550w4 [1,-1,1,-1195205,558312797] 2 [363:12940:1]
8550x (4 curves)	1	2- 3- 5+ 19+	2- 3- 5+  0 -4 -2  2 19+
Curve Equation t Generators 8550x1 [1,-1,1,-6980,-221353] 2 [-45:31:1] 8550x2 [1,-1,1,-11480,102647] 4 [105:163:1] 8550x3 [1,-1,1,-139730,20109647] 2 [1790:-121:8] 8550x4 [1,-1,1,44770,777647] 2 [72062:6804915:8]
8550y (4 curves)	1	2- 3- 5+ 19+	2- 3- 5+  2 -2 -4 -2 19+
Curve Equation t Generators 8550y1 [1,-1,1,2100370,2490767997] 2 [-111:47555:1] 8550y2 [1,-1,1,-19787630,29194127997] 2 [-991:219195:1] 8550y3 [1,-1,1,-742829630,7792780247997] 2 [16139:79905:1] 8550y4 [1,-1,1,-11885275130,498728928977997] 2 [765865983:-364889325:12167]
8550z (2 curves)	1	2- 3- 5+ 19+	2- 3- 5+ -3 -2  1  3 19+
Curve Equation t Generators 8550z1 [1,-1,1,-5,-4003] 1 [19:40:1] 8550z2 [1,-1,1,-15755,846497] 1 [-298:9545:8]
8550ba (4 curves)	1	2- 3- 5+ 19+	2- 3- 5+ -4  4  2 -2 19+
Curve Equation t Generators 8550ba1 [1,-1,1,-2255,-69753] 2 [113:996:1] 8550ba2 [1,-1,1,-42755,-3390753] 4 [263:1740:1] 8550ba3 [1,-1,1,-684005,-217568253] 2 [44854:3297093:8] 8550ba4 [1,-1,1,-49505,-2243253] 2 [-1058:11775:8]
8550bb (2 curves)	0	2- 3- 5+ 19-	2- 3- 5+  1  0  1 -3 19-
Curve Equation t 8550bb1 [1,-1,1,-6755,330747] 1 8550bb2 [1,-1,1,-625505,190568247] 1
8550bc (2 curves)	0	2- 3- 5+ 19-	2- 3- 5+  2  0 -6  8 19-
Curve Equation t 8550bc1 [1,-1,1,-5,9497] 2 8550bc2 [1,-1,1,-6755,211997] 2
8550bd (2 curves)	0	2- 3- 5+ 19-	2- 3- 5+ -2  4 -6  4 19-
Curve Equation t 8550bd1 [1,-1,1,-327605,72585897] 2 8550bd2 [1,-1,1,-5248355,4629200397] 2
8550be (4 curves)	0	2- 3- 5+ 19-	2- 3- 5+ -2 -6  4 -6 19-
Curve Equation t 8550be1 [1,-1,1,-5820980,-5453749353] 2 8550be2 [1,-1,1,-93372980,-347256757353] 2 8550be3 [1,-1,1,19235020,-28401589353] 2 8550be4 [1,-1,1,-104226980,-261497845353] 2
8550bf (4 curves)	0	2- 3- 5+ 19-	2- 3- 5+  4  0  4  6 19-
Curve Equation t 8550bf1 [1,-1,1,-1805,-1803] 2 8550bf2 [1,-1,1,7195,-19803] 2 8550bf3 [1,-1,1,-96305,11527197] 2 8550bf4 [1,-1,1,-94055,12089697] 2
8550bg (1 curve)	0	2- 3- 5+ 19-	2- 3- 5+  4  1  0 -8 19-
Curve Equation t 8550bg1 [1,-1,1,-115430,-15697803] 1
8550bh (4 curves)	0	2- 3- 5+ 19-	2- 3- 5+ -4  0  6  2 19-
Curve Equation t 8550bh1 [1,-1,1,-427505,-112337503] 4 8550bh2 [1,-1,1,-6925505,-7013213503] 4 8550bh3 [1,-1,1,-110808005,-448929368503] 2 8550bh4 [1,-1,1,-7011005,-6831098503] 2
8550bi (1 curve)	0	2- 3- 5+ 19-	2- 3- 5+  5  4  1 -3 19-
Curve Equation t 8550bi1 [1,-1,1,-10730,-454103] 1
8550bj (2 curves)	0	2- 3- 5- 19+	2- 3- 5-  0  4 -2 -6 19+
Curve Equation t 8550bj1 [1,-1,1,-35555,-2681053] 2 8550bj2 [1,-1,1,-575555,-167921053] 2
8550bk (2 curves)	0	2- 3- 5- 19+	2- 3- 5-  0  4  4  6 19+
Curve Equation t 8550bk1 [1,-1,1,1480,-13993] 2 8550bk2 [1,-1,1,-7070,-116593] 2
8550bl (2 curves)	0	2- 3- 5- 19+	2- 3- 5-  2  3  6 -2 19+
Curve Equation t 8550bl1 [1,-1,1,-178880,29169447] 1 8550bl2 [1,-1,1,1073695,-25764303] 1
8550bm (2 curves)	1	2- 3- 5- 19-	2- 3- 5-  2 -3  2 -6 19-
Curve Equation t Generators 8550bm1 [1,-1,1,1570,-28303] 1 [105:1081:1] 8550bm2 [1,-1,1,-15305,1186697] 3 [-57:1396:1]

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