On a class of Gaussian integer solutions for an elliptic curve
The quadratic Diophantine equation with two unknown represented by an elliptic curve D : 76J2 + 649K2 – 436JK = 1600 is analyzed for its non-zero distinct solutions in Z[i]. We also derive some formulae and recurrence relations on the Gaussian integer solutions (Jn, Kn) of D.
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| Veröffentlicht in: | AIP conference proceedings 2020-10, Vol.2261 (1) |
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| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | eng |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | The quadratic Diophantine equation with two unknown represented by an elliptic curve D : 76J2 + 649K2 – 436JK = 1600 is analyzed for its non-zero distinct solutions in Z[i]. We also derive some formulae and recurrence relations on the Gaussian integer solutions (Jn, Kn) of D. |
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| ISSN: | 0094-243X 1551-7616 |
| DOI: | 10.1063/5.0016853 |