Cremona's table of elliptic curves

2550 = 2 · 3 · 5² · 17

Class	r	Atkin-Lehner	Eigenvalues
2550a (4 curves)	1	2+ 3+ 5+ 17+	2+ 3+ 5+  0  4 -2 17+ -4
Curve Equation t Generators 2550a1 [1,1,0,100,0] 2 [4:20:1] 2550a2 [1,1,0,-400,-500] 4 [-14:58:1] 2550a3 [1,1,0,-4650,-123750] 2 [-39:33:1] 2550a4 [1,1,0,-4150,100750] 2 [45:65:1]
2550b (6 curves)	1	2+ 3+ 5+ 17+	2+ 3+ 5+  0 -4  2 17+  4
Curve Equation t Generators 2550b1 [1,1,0,-850,8500] 2 [-5:115:1] 2550b2 [1,1,0,-2850,-49500] 4 [-40:70:1] 2550b3 [1,1,0,-43350,-3492000] 4 [-121:70:1] 2550b4 [1,1,0,5650,-279000] 2 [45:240:1] 2550b5 [1,1,0,-693600,-222626250] 2 [1775:63475:1] 2550b6 [1,1,0,-41100,-3867750] 2 [329:4120:1]
2550c (1 curve)	1	2+ 3+ 5+ 17+	2+ 3+ 5+  3 -5  4 17+ -1
Curve Equation t Generators 2550c1 [1,1,0,-48450,3136500] 1 [71:211:1]
2550d (4 curves)	0	2+ 3+ 5+ 17-	2+ 3+ 5+ -2  0  4 17- -4
Curve Equation t 2550d1 [1,1,0,625,-46875] 2 2550d2 [1,1,0,-16375,-777875] 2 2550d3 [1,1,0,-81875,-9054375] 2 2550d4 [1,1,0,-1310125,-577734125] 2
2550e (1 curve)	0	2+ 3+ 5- 17+	2+ 3+ 5-  0  6  2 17+  4
Curve Equation t 2550e1 [1,1,0,25,-75] 1
2550f (2 curves)	0	2+ 3+ 5- 17+	2+ 3+ 5- -3 -3 -4 17+ -5
Curve Equation t 2550f1 [1,1,0,-27625,-1778825] 1 2550f2 [1,1,0,-40700,54000] 1
2550g (1 curve)	1	2+ 3+ 5- 17-	2+ 3+ 5-  5 -1 -2 17- -7
Curve Equation t Generators 2550g1 [1,1,0,-1075,-12875] 1 [-15:20:1]
2550h (8 curves)	0	2+ 3- 5+ 17+	2+ 3- 5+  0  4  2 17+  4
Curve Equation t 2550h1 [1,0,1,-2001,42148] 2 2550h2 [1,0,1,-34001,2410148] 4 2550h3 [1,0,1,-36001,2110148] 4 2550h4 [1,0,1,-544001,154390148] 2 2550h5 [1,0,1,-180501,-27656852] 4 2550h6 [1,0,1,76499,12685148] 2 2550h7 [1,0,1,-2836751,-1839219352] 2 2550h8 [1,0,1,163749,-120604352] 2
2550i (1 curve)	0	2+ 3- 5+ 17+	2+ 3- 5+ -3 -5  2 17+  1
Curve Equation t 2550i1 [1,0,1,-326,-1702] 1
2550j (1 curve)	0	2+ 3- 5+ 17+	2+ 3- 5+  4  2  2 17+  8
Curve Equation t 2550j1 [1,0,1,-351801,-97421732] 1
2550k (4 curves)	0	2+ 3- 5+ 17+	2+ 3- 5+  4 -4  2 17+ -4
Curve Equation t 2550k1 [1,0,1,-2526,42448] 2 2550k2 [1,0,1,-10526,-373552] 4 2550k3 [1,0,1,-163526,-25465552] 2 2550k4 [1,0,1,14474,-1873552] 2
2550l (1 curve)	1	2+ 3- 5+ 17-	2+ 3- 5+  1 -3 -4 17- -5
Curve Equation t Generators 2550l1 [1,0,1,-21,-32] 1 [-2:2:1]
2550m (2 curves)	1	2+ 3- 5+ 17-	2+ 3- 5+ -2  0 -4 17-  4
Curve Equation t Generators 2550m1 [1,0,1,349,6698] 2 [-3:76:1] 2550m2 [1,0,1,-3901,83198] 2 [-8:341:1]
2550n (2 curves)	1	2+ 3- 5- 17+	2+ 3- 5- -1 -3  2 17+ -7
Curve Equation t Generators 2550n1 [1,0,1,-7201,234548] 3 [-98:86:1] 2550n2 [1,0,1,-16576,-489202] 1 [-882:713:8]
2550o (2 curves)	0	2+ 3- 5- 17-	2+ 3- 5- -1  3 -4 17- -1
Curve Equation t 2550o1 [1,0,1,-38539451,48878897798] 3 2550o2 [1,0,1,-1455988826,-21382165598452] 1
2550p (2 curves)	0	2+ 3- 5- 17-	2+ 3- 5-  4 -2 -4 17-  4
Curve Equation t 2550p1 [1,0,1,-11326,464048] 2 2550p2 [1,0,1,-181326,29704048] 2
2550q (1 curve)	0	2+ 3- 5- 17-	2+ 3- 5-  4 -2  6 17-  4
Curve Equation t 2550q1 [1,0,1,-76,-952] 1
2550r (2 curves)	0	2- 3+ 5+ 17+	2- 3+ 5+  1  3  4 17+ -1
Curve Equation t 2550r1 [1,1,1,-1541578,390414551] 1 2550r2 [1,1,1,-58239553,-171080620609] 1
2550s (2 curves)	0	2- 3+ 5+ 17+	2- 3+ 5+  2  4  0 17+  4
Curve Equation t 2550s1 [1,1,1,-18063,-954219] 2 2550s2 [1,1,1,-290063,-60250219] 2
2550t (1 curve)	0	2- 3+ 5+ 17+	2- 3+ 5+ -4 -2 -6 17+  4
Curve Equation t 2550t1 [1,1,1,-3,-9] 1
2550u (2 curves)	1	2- 3+ 5+ 17-	2- 3+ 5+  1 -3 -2 17- -7
Curve Equation t Generators 2550u1 [1,1,1,-288,1761] 1 [9:-3:1] 2550u2 [1,1,1,-663,-4179] 1 [-9:38:1]
2550v (4 curves)	1	2- 3+ 5+ 17-	2- 3+ 5+ -2  0 -2 17- -4
Curve Equation t Generators 2550v1 [1,1,1,-6388,193781] 2 [41:33:1] 2550v2 [1,1,1,-5388,257781] 2 [15:417:1] 2550v3 [1,1,1,-18763,-755719] 2 [755:-20778:1] 2550v4 [1,1,1,45237,-4723719] 2 [739:-21178:1]
2550w (1 curve)	1	2- 3+ 5- 17+	2- 3+ 5- -1 -3  4 17+ -5
Curve Equation t Generators 2550w1 [1,1,1,-513,-3969] 1 [-15:32:1]
2550x (2 curves)	1	2- 3+ 5- 17+	2- 3+ 5- -4 -2  4 17+  4
Curve Equation t Generators 2550x1 [1,1,1,-453,3531] 2 [9:12:1] 2550x2 [1,1,1,-7253,234731] 2 [45:22:1]
2550y (1 curve)	0	2- 3+ 5- 17-	2- 3+ 5-  3 -5 -2 17-  1
Curve Equation t 2550y1 [1,1,1,-13,-19] 1
2550z (1 curve)	0	2- 3+ 5- 17-	2- 3+ 5- -4  2 -2 17-  8
Curve Equation t 2550z1 [1,1,1,-8795013,-12177716469] 1
2550ba (2 curves)	1	2- 3- 5+ 17+	2- 3- 5+ -2 -4 -4 17+ -4
Curve Equation t Generators 2550ba1 [1,0,0,-66838,8608292] 2 [332:-4966:1] 2550ba2 [1,0,0,-1154838,477536292] 2 [312:-12306:1]
2550bb (1 curve)	1	2- 3- 5+ 17+	2- 3- 5+ -5 -1  2 17+ -7
Curve Equation t Generators 2550bb1 [1,0,0,-43,-103] 1 [-4:5:1]
2550bc (1 curve)	0	2- 3- 5+ 17-	2- 3- 5+  0  6 -2 17-  4
Curve Equation t 2550bc1 [1,0,0,612,-10608] 1
2550bd (2 curves)	0	2- 3- 5+ 17-	2- 3- 5+  2  0  6 17-  4
Curve Equation t 2550bd1 [1,0,0,-63,117] 2 2550bd2 [1,0,0,187,867] 2
2550be (2 curves)	0	2- 3- 5+ 17-	2- 3- 5+  3 -3  4 17- -5
Curve Equation t 2550be1 [1,0,0,-1628,432] 5 2550be2 [1,0,0,-690638,-220971858] 1
2550bf (1 curve)	1	2- 3- 5- 17-	2- 3- 5- -3 -5 -4 17- -1
Curve Equation t Generators 2550bf1 [1,0,0,-1938,25092] 1 [12:54:1]

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