Cremona's table of elliptic curves

19550 = 2 · 5² · 17 · 23

Class	r	Atkin-Lehner	Eigenvalues
19550a (4 curves)	1	2+ 5+ 17+ 23+	2+  0 5+  0  0 -6 17+  4
Curve Equation t Generators 19550a1 [1,-1,0,-13217,34941] 2 [-338:5919:8] 19550a2 [1,-1,0,-141217,-20317059] 4 [27956:56147:64] 19550a3 [1,-1,0,-2257217,-1304729059] 2 [260768892:-101425643071:1728] 19550a4 [1,-1,0,-73217,-39969059] 2 [4074435570:-1584806160463:27000]
19550b (1 curve)	1	2+ 5+ 17+ 23+	2+  1 5+ -1 -4 -1 17+  2
Curve Equation t Generators 19550b1 [1,0,1,-33451,2395798] 1 [143:664:1]
19550c (1 curve)	1	2+ 5+ 17+ 23+	2+ -1 5+ -1  4  5 17+ -2
Curve Equation t Generators 19550c1 [1,1,0,-2875,-60835] 1 [134:1341:1]
19550d (1 curve)	1	2+ 5+ 17+ 23+	2+  2 5+  2 -2 -1 17+  1
Curve Equation t Generators 19550d1 [1,1,0,33250,2592500] 1 [717535:14929270:2197]
19550e (2 curves)	0	2+ 5+ 17+ 23-	2+ -1 5+  1  0  4 17+  5
Curve Equation t 19550e1 [1,1,0,1725,-6875] 1 19550e2 [1,1,0,-28025,-1881125] 1
19550f (1 curve)	0	2+ 5+ 17- 23+	2+  1 5+ -1  4  4 17-  1
Curve Equation t 19550f1 [1,0,1,-2151,46698] 1
19550g (1 curve)	0	2+ 5+ 17- 23+	2+ -1 5+  3  0 -4 17- -1
Curve Equation t 19550g1 [1,1,0,-2550275,1566530125] 1
19550h (1 curve)	0	2+ 5+ 17- 23+	2+  2 5+  3 -3  5 17- -1
Curve Equation t 19550h1 [1,1,0,-4700,74000] 1
19550i (1 curve)	1	2+ 5+ 17- 23-	2+  1 5+  0  1  4 17-  2
Curve Equation t Generators 19550i1 [1,0,1,-1501,22648] 1 [-13:206:1]
19550j (1 curve)	1	2+ 5+ 17- 23-	2+ -1 5+  2  1  4 17- -8
Curve Equation t Generators 19550j1 [1,1,0,-191673750,1021311250000] 1 [17572750:-6833250:2197]
19550k (1 curve)	1	2+ 5+ 17- 23-	2+ -1 5+  2 -6 -3 17- -1
Curve Equation t Generators 19550k1 [1,1,0,1000,-56000] 1 [45:265:1]
19550l (1 curve)	1	2+ 5+ 17- 23-	2+ -1 5+ -3  6 -6 17- -3
Curve Equation t Generators 19550l1 [1,1,0,-1500,-23000] 1 [85:645:1]
19550m (2 curves)	1	2+ 5+ 17- 23-	2+  2 5+  1  3  1 17- -7
Curve Equation t Generators 19550m1 [1,1,0,-19235,792845] 1 [7974:553069:729] 19550m2 [1,1,0,-505635,-138537715] 1 [-11022:11767:27]
19550n (1 curve)	1	2+ 5+ 17- 23-	2+  2 5+  2 -2 -5 17- -5
Curve Equation t Generators 19550n1 [1,1,0,-875,12125] 1 [-35:55:1]
19550o (2 curves)	1	2+ 5+ 17- 23-	2+  2 5+ -4 -2 -2 17-  4
Curve Equation t Generators 19550o1 [1,1,0,-2478825,-1503194875] 2 [-53914731:27806537:59319] 19550o2 [1,1,0,-2494825,-1482826875] 2 [-23775:165125:27]
19550p (1 curve)	1	2+ 5+ 17- 23-	2+  3 5+ -2  1  4 17- -4
Curve Equation t Generators 19550p1 [1,-1,0,8333,-2709259] 1 [102018:6220991:27]
19550q (1 curve)	1	2+ 5+ 17- 23-	2+ -3 5+  1 -2 -2 17- -1
Curve Equation t Generators 19550q1 [1,-1,0,8,166] 1 [-1:13:1]
19550r (2 curves)	1	2+ 5- 17+ 23-	2+  1 5- -1  0  5 17+  2
Curve Equation t Generators 19550r1 [1,0,1,-41201,3750148] 3 [811:22042:1] 19550r2 [1,0,1,289424,-21086402] 1 [26450457:860253379:35937]
19550s (1 curve)	1	2+ 5- 17+ 23-	2+  1 5-  3  0  1 17+  2
Curve Equation t Generators 19550s1 [1,0,1,-326,-22952] 1 [277:4461:1]
19550t (1 curve)	1	2+ 5- 17- 23+	2+  0 5-  5 -1 -3 17- -3
Curve Equation t Generators 19550t1 [1,-1,0,-124742,16964916] 1 [44:3378:1]
19550u (1 curve)	1	2+ 5- 17- 23+	2+ -1 5-  1 -4 -5 17-  2
Curve Equation t Generators 19550u1 [1,1,0,-1455700,-676636000] 1 [4996:339236:1]
19550v (1 curve)	2	2+ 5- 17- 23-	2+ -1 5- -3 -4 -1 17-  2
Curve Equation t Generators 19550v1 [1,1,0,1250,38900] 1 [-20:90:1]&[-4:186:1]
19550w (1 curve)	0	2- 5+ 17+ 23+	2-  0 5+  4  2 -3 17+  3
Curve Equation t 19550w1 [1,-1,1,-7458130,7845432497] 1
19550x (1 curve)	0	2- 5+ 17+ 23+	2-  1 5+  3 -4  1 17+  2
Curve Equation t 19550x1 [1,0,0,31237,4800017] 1
19550y (2 curves)	0	2- 5+ 17+ 23+	2- -2 5+  0 -4 -2 17+  2
Curve Equation t 19550y1 [1,0,0,-213,-6083] 2 19550y2 [1,0,0,-6463,-199833] 2
19550z (1 curve)	1	2- 5+ 17+ 23-	2-  0 5+ -5 -1  3 17+ -3
Curve Equation t Generators 19550z1 [1,-1,1,-4990,136717] 1 [145:1491:1]
19550ba (1 curve)	1	2- 5+ 17+ 23-	2-  1 5+ -1 -4  5 17+  2
Curve Equation t Generators 19550ba1 [1,0,0,-58228,-5413088] 1 [438:7072:1]
19550bb (1 curve)	1	2- 5+ 17+ 23-	2-  1 5+  2  2 -1 17+ -1
Curve Equation t Generators 19550bb1 [1,0,0,-45563,3741617] 1 [92:529:1]
19550bc (2 curves)	1	2- 5+ 17+ 23-	2- -1 5+ -2  3  4 17+ -4
Curve Equation t Generators 19550bc1 [1,1,1,-213,9031] 1 [-5:102:1] 19550bc2 [1,1,1,1912,-241719] 1 [75:537:1]
19550bd (1 curve)	1	2- 5+ 17+ 23-	2- -2 5+  2  2  5 17+ -1
Curve Equation t Generators 19550bd1 [1,0,0,4562,-106758] 1 [30526:1870737:8]
19550be (2 curves)	1	2- 5+ 17- 23+	2- -1 5+  1  0 -5 17-  2
Curve Equation t Generators 19550be1 [1,1,1,-1030013,468768531] 1 [789:11772:1] 19550be2 [1,1,1,7235612,-2635800219] 1 [5021:-402895:1]
19550bf (1 curve)	1	2- 5+ 17- 23+	2- -1 5+ -3  0 -1 17-  2
Curve Equation t Generators 19550bf1 [1,1,1,-13,-189] 1 [9:18:1]
19550bg (2 curves)	1	2- 5+ 17- 23+	2-  2 5+ -2 -6  1 17-  5
Curve Equation t Generators 19550bg1 [1,1,1,1687,-86492969] 1 [1355:48372:1] 19550bg2 [1,1,1,-14732688,-21773336719] 1 [12405:1299397:1]
19550bh (1 curve)	0	2- 5+ 17- 23-	2- -1 5+  2  2 -1 17-  7
Curve Equation t 19550bh1 [1,1,1,-3463,89031] 1
19550bi (1 curve)	0	2- 5+ 17- 23-	2- -1 5+ -2  5  0 17-  4
Curve Equation t 19550bi1 [1,1,1,-1321563,-586370219] 1
19550bj (2 curves)	0	2- 5+ 17- 23-	2-  2 5+  0  0  6 17-  6
Curve Equation t 19550bj1 [1,1,1,137,781] 2 19550bj2 [1,1,1,-863,6781] 2
19550bk (2 curves)	1	2- 5- 17+ 23+	2- -2 5- -1  3 -1 17+ -7
Curve Equation t Generators 19550bk1 [1,0,0,-480888,100067392] 3 [552:1424:1] 19550bk2 [1,0,0,-12640888,-17291932608] 1 [4776:174480:1]
19550bl (1 curve)	2	2- 5- 17+ 23-	2- -2 5- -3 -3 -5 17+ -1
Curve Equation t Generators 19550bl1 [1,0,0,-188,592] 1 [-12:40:1]&[-8:44:1]
19550bm (1 curve)	1	2- 5- 17- 23-	2-  1 5-  1  4 -5 17- -2
Curve Equation t Generators 19550bm1 [1,0,0,-71888,-7460608] 1 [416:5680:1]
19550bn (1 curve)	1	2- 5- 17- 23-	2- -1 5-  1 -4  1 17-  2
Curve Equation t Generators 19550bn1 [1,1,1,-1338,18631] 1 [65:427:1]

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