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Ranks of several elliptic curves y2 = x3 ∓ 3px
International Journal of Algebra, 2021Let E∓3p be elliptic curves y 2 = x ∓ 3px with prime p then, we will compute the ranks of it and compare the results with that of in curve E2pq: y 2 = x + 2pqx .
Shin-wook Kim
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Ranks in elliptic curves y2 = x3 ± Ax with varied primes
, 2020Take E−p as elliptic curve y 2 = x − px with prime p then, we shall numerate rank of this curve. We appoint that E∓pq are elliptic curves y 2 = x ∓ pqx then, we will calculate ranks of these curves according to the assumption of distinct odd primes p and
Shin-wook Kim
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Rank Lifting From Rank-Zero Elliptic Curves Via Quadratic Twists
Pure and Applied Mathematics JournalWe prove that rank-zero elliptic curves over generate positive-rank elliptic curves through the unit circle, via quadratic twisted models . This construction demonstrates rank evolution from zero to infinite rational points, complementing high-rank ...
Kouakou Vincent, S. Fousséni
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Algebraic structure in elliptic curves y^2=x^3-5px
International Journal of Algebra, 2019Under the hypothesis that E−5p is an elliptic curves y 2 = x − 5px with prime p, the rank of E−5p will be enumerated in accordance with the form of prime p.
Shin-wook Kim
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Recurrence Relations for Elliptic Sequences: Every Somos 4 is a Somos k
, 2004In his celebrated memoir, Morgan Ward's definition of elliptic divisibility sequences has the remarkable feature that it does not become at all clear until deep into the paper that there exist nontrivial examples of such sequences.
A. J. Van Der Poorten, Christine Swart
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Root Numbers of Non‐Abelian Twists of Elliptic Curves
, 2005V. Dokchitser
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