This elliptic curve is congruent modulo 17 to the elliptic curve 3675.g1, meaning that the 17-torsion subgroups of these elliptic curves are isomorphic as Galois modules. All known examples of 17-congruences correspond to quadratic twists of this minimal pair, and there are no known examples of congruences at larger primes.

See N. Billerey, "On some remarkable congruences between two eliptic curves" [arXiv:1605.09205].

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- Last edited by Andrew Sutherland on 2016-05-31 13:51:11

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- 2016-05-31 13:51:11 by Andrew Sutherland (Reviewed)