On Wednesday, December 14, 2016 at 12:09:36 PM UTC-8, John Cremona wrote:
>
>
> Thanks for the bug report.  As Nils pointed out there are known bugs 
> in the integral point code which cause solutions to be missed.


Just to make clear: I wasn't taking a jibe at sage/or John on this, and I 
wasn't previously aware there are bugs in the integral points code in Sage. 
I was just observing that in the past 20 years, any computer algebra 
package that implements integral point finding on elliptic curves has had 
significant errors (of the type reported here). Apparently it's something 
that is particularly hard to get reliably correct.

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