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Aug 12, 2010 at 14:27 history edited Francesco Polizzi CC BY-SA 2.5
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Aug 11, 2010 at 17:09 history edited Francesco Polizzi CC BY-SA 2.5
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Aug 10, 2010 at 21:51 comment added Pete L. Clark To be clear, this (nice) paper answers the question only in a subbcase of the case in which the two elliptic curves have complex multiplication (CM). This makes the situation much more arithmetic in nature (since CM abelian varieties do not vary in moduli). There has been a lot of work on this problem in general, but I think the answer is probably out of reach.
Aug 10, 2010 at 16:42 history answered Francesco Polizzi CC BY-SA 2.5