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Apr 13, 2017 at 12:58 history edited CommunityBot
replaced http://mathoverflow.net/ with https://mathoverflow.net/
Sep 21, 2012 at 0:23 comment added Dror Speiser Leaving the solution to the other question aside, torsion points of a CM elliptic curve generate the abelian extensions of the hilbert class field of the relevant quadratic field. So, this question is one level before the CM version of the linked question: here you want an intersection before taking torsion points, but just the defining field of the elliptic curve. So it's not exactly the CM version, but it's related. It's just a comment, and I'm not sure how to pursue it. (Also, I did not realise before that you asked the other question as well.)
Sep 20, 2012 at 21:58 comment added Adam Harris @Dror: I think in the question you link to, as JSE comments, it is really a group theoretic question about $SL_2(\mathbb{Z}_p)\times SL_2(\mathbb{Z}_p)$. For an elliptic curve with CM by $\mathcal{O}$, a CM version of the other question would be talking about the extra structure on the Tate module as a rank 1 $\mathcal{O} \otimes \mathbb{Z}_p$-module. I see this question having more to do with the action of $Pic(\mathcal{O})$ on the Hilbert class field. I'm struggling to see the whole picture at the moment with CM curves, could you please expand a little as to the similarities you see?
Sep 20, 2012 at 18:56 comment added Dror Speiser This is similar to a CM version of this question: mathoverflow.net/questions/74906/…
Sep 20, 2012 at 18:34 vote accept Adam Harris
Sep 20, 2012 at 12:20 answer added stankewicz timeline score: 8
Sep 20, 2012 at 11:17 answer added Filippo Alberto Edoardo timeline score: 2
Sep 20, 2012 at 10:55 history edited Filippo Alberto Edoardo
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Sep 20, 2012 at 10:50 history edited Adam Harris
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Sep 20, 2012 at 9:17 history asked Adam Harris CC BY-SA 3.0