### Abstract

Generators are found for the group of rational points on the title curve for all primes p = 5 (mod 8) less than 1, 000. The rank is always 1 in accordance with conjectures of Seltner and Mordell. Some of the generators are rather large.

Original language | English (US) |
---|---|

Pages (from-to) | 257-264 |

Number of pages | 8 |

Journal | Mathematics of Computation |

Volume | 42 |

Issue number | 165 |

DOIs | |

State | Published - 1984 |

Externally published | Yes |

### ASJC Scopus subject areas

- Algebra and Number Theory
- Computational Mathematics
- Applied Mathematics

## Fingerprint Dive into the research topics of 'On the equation Y<sup>2</sup>=X(X<sup>2</sup>+p)'. Together they form a unique fingerprint.

## Cite this

Bremner, A., & Cassels, J. W. (1984). On the equation Y

^{2}=X(X^{2}+p).*Mathematics of Computation*,*42*(165), 257-264. https://doi.org/10.1090/S0025-5718-1984-0726003-4