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arXiv · 1701.02686

On The Rank Of Congruent Elliptic Curves

Farzali Izadi·Hamid Reza Abdolmaleki
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Abstract

In this paper, $p$ and $q$ are two different odd primes. First, We construct the congruent elliptic curves corresponding to $p$, $2p$, $pq$, and $2pq,$ then, in the cases of congruent numbers, we determine the rank of the corresponding congruent elliptic curves.

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Farzali Izadi, Hamid Reza Abdolmaleki. 2017-01-08. On The Rank Of Congruent Elliptic Curves. https://arxiv.org/abs/1701.02686

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