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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| container_title | AIP conference proceedings |
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| creator | Kannan, J. Kaleeswari, K. Cruz, M. |
| description | 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. |
| doi_str_mv | 10.1063/5.0016853 |
| format | Article |
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| identifier | ISSN: 0094-243X |
| ispartof | AIP conference proceedings, 2020-10, Vol.2261 (1) |
| issn | 0094-243X 1551-7616 |
| language | eng |
| recordid | cdi_scitation_primary_10_1063_5_0016853 |
| source | AIP Journals Complete |
| title | On a class of Gaussian integer solutions for an elliptic curve |
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