Prof. J. E. Cremona on Mon, 28 Jun 2004 18:43:18 +0200

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Re: Pari Bug?

It is very likely that elllseries only gives correct answers with a global minimal model. This is true, though not always documented, with several of Pari's elliptic curve functions. In your case your curve [0, 55, 3025, -121000, 34439625] is nonminimal at 11, as I am sure you know.

So you will ask -- why does elllsseries not switch to a minimal model itself? I suppose the answer is that this would only waste time when the curve was minimal already. A solution would be to do this unless the user has set a switch/flag to say "don't bother minimising this model as I already know that it is minimal".

John Cremona

 Prof. J. E. Cremona             |
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