Cremona's table of elliptic curves

50410 = 2 · 5 · 71²

Class	r	Atkin-Lehner	Eigenvalues
50410a (2 curves)	0	2+ 5+ 71-	2+  0 5+  2  2  4 -6 -4
Curve Equation t 50410a1 [1,-1,0,-235,-1359] 2 50410a2 [1,-1,0,-3785,-88689] 2
50410b (2 curves)	0	2+ 5+ 71-	2+  0 5+ -2 -2 -4  6 -4
Curve Equation t 50410b1 [1,-1,0,-1185580,507735900] 2 50410b2 [1,-1,0,-19081130,32086223430] 2
50410c (1 curve)	0	2+ 5+ 71-	2+  3 5+  1  4 -7 -6 -1
Curve Equation t 50410c1 [1,-1,0,-2365,-43675] 1
50410d (1 curve)	0	2+ 5+ 71-	2+  3 5+ -1 -4  7  6 -1
Curve Equation t 50410d1 [1,-1,0,-11922910,15846369716] 1
50410e (2 curves)	1	2+ 5- 71-	2+  1 5-  1 -6 -2  6  2
Curve Equation t Generators 50410e1 [1,0,1,72,198] 1 [9:35:1] 50410e2 [1,0,1,-1703,27178] 1 [669:164:27]
50410f (2 curves)	1	2+ 5- 71-	2+  1 5- -1  6  2 -6  2
Curve Equation t Generators 50410f1 [1,0,1,365367,-68763444] 3 [1055345406502614465:28381338036767161126:3538700096624603] 50410f2 [1,0,1,-8582408,-9778888874] 1 [142140770237366273168187095015903681185518423:23769874030997350690935340452856098810756100181:4996840454657897015889181384578167910399]
50410g (1 curve)	1	2+ 5- 71-	2+ -1 5- -1  2  1  2 -7
Curve Equation t Generators 50410g1 [1,1,0,-138732,16980664] 1 [325:2358:1]
50410h (1 curve)	1	2+ 5- 71-	2+  2 5-  5 -1 -1 -2 -1
Curve Equation t Generators 50410h1 [1,1,0,365368,232533824] 1 [-5190499567155:1119269878334159:77472219447]
50410i (1 curve)	1	2+ 5- 71-	2+  2 5- -5  1  1  2 -1
Curve Equation t Generators 50410i1 [1,1,0,73,-619] 1 [2130:6359:216]
50410j (1 curve)	1	2- 5+ 71-	2- -1 5+  1  2  1  4 -1
Curve Equation t Generators 50410j1 [1,1,1,-2097161,-1139932617] 1 [1887:39384:1]
50410k (2 curves)	1	2- 5+ 71-	2- -2 5+  1  3  1  0 -7
Curve Equation t Generators 50410k1 [1,0,0,-176,-920] 1 [30:130:1] 50410k2 [1,0,0,534,-4754] 1 [150678:873251:5832]
50410l (2 curves)	1	2- 5+ 71-	2- -2 5+ -1 -3 -1  0 -7
Curve Equation t Generators 50410l1 [1,0,0,-887321,323954401] 3 [472406088:3556917587:1030301] 50410l2 [1,0,0,2691789,1717659835] 1 [393611031893438575504503390:88218569082182782819187467295:7809335880091328545704]
50410m (1 curve)	0	2- 5- 71-	2- -1 5-  3 -2 -2 -2 -2
Curve Equation t 50410m1 [1,1,1,-529410,415336867] 1
50410n (1 curve)	0	2- 5- 71-	2- -1 5-  3  6  3  0 -1
Curve Equation t 50410n1 [1,1,1,-352975,-80445483] 1
50410o (1 curve)	0	2- 5- 71-	2- -1 5- -3  2  2  2 -2
Curve Equation t 50410o1 [1,1,1,-105,-1205] 1
50410p (2 curves)	2	2- 5- 71-	2- -1 5- -3 -2  1 -8 -5
Curve Equation t Generators 50410p1 [1,1,1,-5570410,-4364398185] 1 [-41919:651071:27]&[-1237:25823:1] 50410p2 [1,1,1,-914210660,10639027575015] 1 [-5972862:833278363:216]&[2597658:252817873:216]
50410q (1 curve)	0	2- 5- 71-	2- -1 5-  4 -5  2 -5  5
Curve Equation t 50410q1 [1,1,1,-98954935,378841079565] 1
50410r (1 curve)	0	2- 5- 71-	2- -1 5- -4  5 -2  5  5
Curve Equation t 50410r1 [1,1,1,-19630,-1066773] 1

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