Cremona's table of elliptic curves

4550 = 2 · 5² · 7 · 13

Class	r	Atkin-Lehner	Eigenvalues
4550a (1 curve)	1	2+ 5+ 7+ 13+	2+  1 5+ 7+  1 13+  3  1
Curve Equation t Generators 4550a1 [1,0,1,-2796,124458] 1 [48:294:1]
4550b (3 curves)	1	2+ 5+ 7+ 13+	2+ -1 5+ 7+ -3 13+  0  2
Curve Equation t Generators 4550b1 [1,1,0,175,-875] 1 [5:10:1] 4550b2 [1,1,0,-4825,-131875] 1 [125:1050:1] 4550b3 [1,1,0,-391575,-94476125] 1 [181215:77051255:1]
4550c (6 curves)	1	2+ 5+ 7+ 13+	2+  2 5+ 7+  0 13+  0  2
Curve Equation t Generators 4550c1 [1,1,0,-29900,1970000] 2 [115:205:1] 4550c2 [1,1,0,-477900,126962000] 2 [545:5090:1] 4550c3 [1,1,0,-165900,-24598000] 2 [15155:1857485:1] 4550c4 [1,1,0,-508900,109515000] 2 [409305:50137535:27] 4550c5 [1,1,0,-13224400,-18515752500] 2 [-4797030382530:2403354113140:2284322013] 4550c6 [1,1,0,-13226150,-18510609250] 2 [7196592046339498335:-867187577085694163230:469151770707927]
4550d (2 curves)	1	2+ 5+ 7+ 13+	2+ -2 5+ 7+  4 13+  0 -2
Curve Equation t Generators 4550d1 [1,0,1,-151,198] 2 [-3:26:1] 4550d2 [1,0,1,-1901,31698] 2 [32:46:1]
4550e (1 curve)	0	2+ 5+ 7+ 13-	2+  1 5+ 7+ -5 13- -2 -6
Curve Equation t 4550e1 [1,0,1,-4901,738448] 1
4550f (2 curves)	0	2+ 5+ 7- 13+	2+  0 5+ 7- -6 13+  8  0
Curve Equation t 4550f1 [1,-1,0,-847442,276549716] 2 4550f2 [1,-1,0,944558,1289029716] 2
4550g (1 curve)	0	2+ 5+ 7- 13+	2+  3 5+ 7-  3 13+  2 -6
Curve Equation t 4550g1 [1,-1,0,-817,9341] 1
4550h (4 curves)	1	2+ 5+ 7- 13-	2+  0 5+ 7-  4 13-  6  0
Curve Equation t Generators 4550h1 [1,-1,0,21658,827316] 2 [189:3318:1] 4550h2 [1,-1,0,-106342,7355316] 4 [-132:4434:1] 4550h3 [1,-1,0,-782342,-261016684] 2 [-457:1184:1] 4550h4 [1,-1,0,-1478342,691983316] 2 [729:773:1]
4550i (1 curve)	1	2+ 5+ 7- 13-	2+ -1 5+ 7- -1 13- -3 -3
Curve Equation t Generators 4550i1 [1,1,0,-175,-1915] 1 [19:36:1]
4550j (2 curves)	1	2+ 5+ 7- 13-	2+  2 5+ 7- -4 13-  0 -6
Curve Equation t Generators 4550j1 [1,1,0,-28625,1503125] 2 [-95:1885:1] 4550j2 [1,1,0,-140625,-18992875] 2 [-5253:30287:27]
4550k (1 curve)	1	2+ 5+ 7- 13-	2+ -3 5+ 7-  1 13-  0 -6
Curve Equation t Generators 4550k1 [1,-1,0,83,-509] 1 [19:78:1]
4550l (2 curves)	1	2+ 5- 7+ 13-	2+  0 5- 7+  0 13-  2 -2
Curve Equation t Generators 4550l1 [1,-1,0,-182,676] 2 [0:26:1] 4550l2 [1,-1,0,518,4176] 2 [9:93:1]
4550m (2 curves)	0	2+ 5- 7- 13-	2+  2 5- 7-  2 13- -2  0
Curve Equation t 4550m1 [1,1,0,-1200,14000] 2 4550m2 [1,1,0,-18700,976500] 2
4550n (2 curves)	0	2+ 5- 7- 13-	2+  2 5- 7- -4 13-  0  4
Curve Equation t 4550n1 [1,1,0,-1325,12125] 2 4550n2 [1,1,0,3675,87125] 2
4550o (2 curves)	0	2- 5+ 7+ 13+	2- -1 5+ 7+ -3 13+  6  2
Curve Equation t 4550o1 [1,1,1,162,5281] 1 4550o2 [1,1,1,-1463,-144219] 1
4550p (3 curves)	0	2- 5+ 7+ 13+	2- -1 5+ 7+ -3 13+ -6  2
Curve Equation t 4550p1 [1,1,1,-14461188,22945659781] 1 4550p2 [1,1,1,89054437,-21015277719] 1 4550p3 [1,1,1,-1262579938,-18313477533969] 1
4550q (4 curves)	0	2- 5+ 7+ 13+	2-  2 5+ 7+  0 13+  0  2
Curve Equation t 4550q1 [1,1,1,-5838,169031] 2 4550q2 [1,1,1,-7588,57031] 2 4550q3 [1,1,1,-23713,-1247969] 2 4550q4 [1,1,1,-366713,-85625969] 2
4550r (2 curves)	1	2- 5+ 7+ 13-	2-  0 5+ 7+ -2 13-  4 -4
Curve Equation t Generators 4550r1 [1,-1,1,-730,-6603] 2 [45:201:1] 4550r2 [1,-1,1,1020,-34603] 2 [310:1833:8]
4550s (4 curves)	1	2- 5+ 7+ 13-	2-  0 5+ 7+  4 13- -2 -4
Curve Equation t Generators 4550s1 [1,-1,1,-50005,3949997] 4 [-241:1520:1] 4550s2 [1,-1,1,-178005,-24466003] 4 [-305:1328:1] 4550s3 [1,-1,1,-2726005,-1731626003] 2 [-955:678:1] 4550s4 [1,-1,1,321995,-137466003] 2 [339:3080:1]
4550t (1 curve)	1	2- 5+ 7+ 13-	2- -3 5+ 7+ -5 13-  4  2
Curve Equation t Generators 4550t1 [1,-1,1,-555,109947] 1 [9:-330:1]
4550u (1 curve)	1	2- 5+ 7- 13+	2- -1 5+ 7- -1 13+ -4  2
Curve Equation t Generators 4550u1 [1,1,1,-115213,15030531] 1 [135:1332:1]
4550v (1 curve)	1	2- 5- 7+ 13+	2-  1 5- 7+ -1 13+  3 -3
Curve Equation t Generators 4550v1 [1,0,0,-4388,-230608] 1 [188:2272:1]
4550w (2 curves)	1	2- 5- 7+ 13+	2- -2 5- 7+  2 13+  2  0
Curve Equation t Generators 4550w1 [1,0,0,-48,112] 2 [2:4:1] 4550w2 [1,0,0,-748,7812] 2 [16:-6:1]
4550x (2 curves)	1	2- 5- 7+ 13+	2- -2 5- 7+ -4 13+  0  4
Curve Equation t Generators 4550x1 [1,0,0,-53,97] 2 [-2:15:1] 4550x2 [1,0,0,147,697] 2 [8:45:1]
4550y (2 curves)	0	2- 5- 7- 13+	2-  0 5- 7-  0 13+ -2 -2
Curve Equation t 4550y1 [1,-1,1,-4555,79947] 2 4550y2 [1,-1,1,12945,534947] 2
4550z (1 curve)	1	2- 5- 7- 13-	2- -1 5- 7-  1 13- -3  1
Curve Equation t Generators 4550z1 [1,1,1,-69888,15557281] 1 [-215:4657:1]

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