William J. Buchanan

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benchmarking 1 large language models 1 software security 1 static application security testing 1 vulnerability detection 1

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math.NT2025

On families of elliptic curves $E_{p, q} : y^{2} = x^{3} - pq x$ that intersect the same line $L_{a, b} : y = \frac{a}{b} x$ of rational slope

Eldar Sultanow, Anja Jeschke, Amir Darwish Tfiha +2

Let $p$ and $q$ be two distinct odd primes, $p < q$ and $E_{p, q} : y^{2} = x^{3} - pq x$ be an elliptic curve. Fix a line $L_{a . b} : y = \frac{a}{b} x$ where $a \in Z, b \in N$ and $(…

On families of elliptic curves Ep,q​:y2=x3−pqx that intersect the same line La,b​:y=ba​x of rational slope

On families of elliptic curves $E_{p, q} : y^{2} = x^{3} - pq x$ that intersect the same line $L_{a, b} : y = \frac{a}{b} x$ of rational slope