Hi, 
 
 In some work on isogeny clases, my team ran across the following of two 
elliptic curves which are isogenous but sage reports different isogeny 
classes for them. Is there some  technicalities (j = 0) leading to 
incorrect output or is this something that we should flag a bug? 

sage: L5.<r5> = NumberField(x^2-5)

sage: E = 
EllipticCurve(L5,[287275052073119826051072\*r5-642366544675288047943680,-125329261653845158603060848774610944\*r5+280244748627855491701953075326484480])

sage: F = EllipticCurve(L5,[0,-4325477943600\*r5-4195572876000])

sage: E.isogeny_class().matrix()
[ 1 25 75  3  5 15]
[25  1  3 75  5 15]
[75  3  1 25 15  5]
[ 3 75 25  1 15  5]
[ 5  5 15 15  1  3]
[15 15  5  5  3  1]

sage: F.isogeny_class().matrix()
[1 3]
[3 1]

sage: E.is_isogenous(F)
True

Best,
Lance

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