Some Results on a Generalized Version of Congruent Numbers

AbstractThis paper aims to construct a new formula that generates a generalized version of congruent numbers based on a generalized version of Pythagorean triples. Here, an elliptic curve equation is constructed from the derived generalized version of Pythagorean triples and congruent numbers and gi...

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Published inInPrime Vol. 3; no. 1; pp. 1 - 6
Main Authors Casinillo, Leomarich F., Casinillo, Emily L.
Format Journal Article
LanguageEnglish
Published UIN Syarif Hidayatullah 04.05.2021
Subjects
congruent number
elliptic curve
pythagorean triple
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ISSN2686-5335
2716-2478
DOI10.15408/inprime.v3i1.17922

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Summary:AbstractThis paper aims to construct a new formula that generates a generalized version of congruent numbers based on a generalized version of Pythagorean triples. Here, an elliptic curve equation is constructed from the derived generalized version of Pythagorean triples and congruent numbers and gives some new results.Keywords: Pythagorean triple, congruent number, elliptic curve equation. AbstrakArtikel ini bertujuan untuk mengkonstruksi formula baru yang membangun versi yang lebih umum dari bilangan-bilangan kongruen berdasarkan versi triple Pythagoras yang diperumum. Di sini, akan dikonstruksi suatu persamaan kurva eliptik dari triple Pythagoras dan bilangan-bilangan kongruen dalam versi yang diperumum untuk menghasilkan hasil-hasil yang baru.Kata kunci: triple Phytagoras, bilangan kongruen, persamaan kurva eliptik.2010 Mathematics subject classification: 11A07, 11A41, 11D45, 11G07.
ISSN:2686-5335
2716-2478
DOI:10.15408/inprime.v3i1.17922