engleski

Integer points on two families of elliptic curves

In this paper we find all the integer points on elliptic curves induced by the Diophantine triples {; ; ; ; k - 1, k + 1, 16k^3-4k}; ; ; ; and {; ; ; ; k - 1, k +1, 64k^5 -48k^3 +8k}; ; ; ; that have either rank two or 2 <= k <= 10000 (with one possible exception).

Family of elliptic curves ; integer points ; Diophantine m-tuple

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