Cremona's table of elliptic curves

25550 = 2 · 5² · 7 · 73

Class	r	Atkin-Lehner	Eigenvalues
25550a (1 curve)	1	2+ 5+ 7+ 73+	2+ -1 5+ 7+ -4  4 -2 -2
Curve Equation t Generators 25550a1 [1,1,0,-875,9625] 1 [20:15:1]
25550b (1 curve)	1	2+ 5+ 7+ 73+	2+  2 5+ 7+ -4  4 -5  1
Curve Equation t Generators 25550b1 [1,1,0,33250,31776500] 1 [1195:41590:1]
25550c (1 curve)	0	2+ 5+ 7+ 73-	2+  1 5+ 7+  4  0  2 -2
Curve Equation t 25550c1 [1,0,1,-179901,29543448] 1
25550d (4 curves)	0	2+ 5+ 7- 73+	2+  0 5+ 7-  0  2 -2  0
Curve Equation t 25550d1 [1,-1,0,-8267,323141] 2 25550d2 [1,-1,0,-136267,19395141] 4 25550d3 [1,-1,0,-140267,18199141] 2 25550d4 [1,-1,0,-2180267,1239663141] 2
25550e (2 curves)	0	2+ 5+ 7- 73+	2+  2 5+ 7- -6  2  2 -2
Curve Equation t 25550e1 [1,1,0,200,0] 2 25550e2 [1,1,0,-800,-1000] 2
25550f (1 curve)	1	2+ 5+ 7- 73-	2+  0 5+ 7-  1  4 -6  0
Curve Equation t Generators 25550f1 [1,-1,0,-47,941] 1 [-2:33:1]
25550g (1 curve)	1	2+ 5+ 7- 73-	2+  0 5+ 7- -2 -2  3 -3
Curve Equation t Generators 25550g1 [1,-1,0,-49817,-4267659] 1 [365:4924:1]
25550h (1 curve)	1	2+ 5+ 7- 73-	2+ -1 5+ 7- -6 -6  0 -6
Curve Equation t Generators 25550h1 [1,1,0,-1750,-83500] 1 [220:3090:1]
25550i (1 curve)	1	2+ 5+ 7- 73-	2+  2 5+ 7- -3 -2  2  4
Curve Equation t Generators 25550i1 [1,1,0,-4650,-219820] 1 [1124:37070:1]
25550j (1 curve)	0	2+ 5- 7+ 73+	2+  0 5- 7+  0 -4  5 -5
Curve Equation t 25550j1 [1,-1,0,-17808992,28954124416] 1
25550k (1 curve)	0	2+ 5- 7+ 73+	2+  0 5- 7+ -5  6  5 -5
Curve Equation t 25550k1 [1,-1,0,-1492,-21834] 1
25550l (1 curve)	1	2+ 5- 7+ 73-	2+  2 5- 7+ -6  2  5 -1
Curve Equation t Generators 25550l1 [1,1,0,-6450,216500] 1 [35:170:1]
25550m (1 curve)	0	2+ 5- 7- 73-	2+  0 5- 7-  3 -2  3 -3
Curve Equation t 25550m1 [1,-1,0,-442,-17484] 1
25550n (1 curve)	2	2+ 5- 7- 73-	2+ -2 5- 7- -2 -2  1 -5
Curve Equation t Generators 25550n1 [1,0,1,5424,-231952] 1 [38:152:1]&[52:411:1]
25550o (1 curve)	0	2- 5+ 7+ 73+	2-  0 5+ 7+  3  2 -3 -3
Curve Equation t 25550o1 [1,-1,1,-11055,-2196553] 1
25550p (3 curves)	0	2- 5+ 7+ 73+	2- -1 5+ 7+  0  4  6  2
Curve Equation t 25550p1 [1,1,1,9562,-117969] 1 25550p2 [1,1,1,-162313,-25992969] 1 25550p3 [1,1,1,-13256688,-18583596719] 1
25550q (1 curve)	1	2- 5+ 7+ 73-	2-  2 5+ 7+ -4  4  1 -3
Curve Equation t Generators 25550q1 [1,1,1,-7615313,8085546031] 1 [1595:-648:1]
25550r (2 curves)	1	2- 5+ 7- 73+	2-  0 5+ 7-  6  4 -6 -4
Curve Equation t Generators 25550r1 [1,-1,1,-2130,-35503] 2 [-27:55:1] 25550r2 [1,-1,1,-6130,140497] 2 [-65:543:1]
25550s (1 curve)	1	2- 5+ 7- 73+	2- -3 5+ 7-  2 -2  4  6
Curve Equation t Generators 25550s1 [1,-1,1,495,-7503] 1 [29:-190:1]
25550t (1 curve)	0	2- 5+ 7- 73-	2-  0 5+ 7- -5 -6 -5 -5
Curve Equation t 25550t1 [1,-1,1,-60,-163] 1
25550u (1 curve)	1	2- 5- 7+ 73+	2-  0 5- 7+  1 -4  6  0
Curve Equation t Generators 25550u1 [1,-1,1,-1180,116447] 1 [-31:365:1]
25550v (1 curve)	1	2- 5- 7+ 73+	2-  2 5- 7+ -2  2 -1 -5
Curve Equation t Generators 25550v1 [1,1,1,217,-1769] 1 [70:201:8]
25550w (1 curve)	1	2- 5- 7+ 73+	2- -2 5- 7+ -3  2 -2  4
Curve Equation t Generators 25550w1 [1,0,0,-116263,-27244983] 1 [1702:67749:1]
25550x (1 curve)	2	2- 5- 7- 73+	2- -2 5- 7- -6 -2 -5 -1
Curve Equation t Generators 25550x1 [1,0,0,-258,1732] 1 [2:-36:1]&[-12:62:1]
25550y (1 curve)	1	2- 5- 7- 73-	2-  0 5- 7-  0  4 -5 -5
Curve Equation t Generators 25550y1 [1,-1,1,-712360,231775467] 1 [495:263:1]

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