### Abstract

In this paper, we study elliptic curves E over ( such thatthe 3-torsion subgroup E[3] is split as μ_{3} ⊕ ℤ/3ℤ. For a non-zero integer m, let C_{m} denote the curve x^{3} + y^{3} = m. We consider the relation between the set of integral points of C_{m} and the elliptic curves E with E[3] ≃ μ_{3} ⊕ ℤ/3ℤ.

Original language | English |
---|---|

Pages (from-to) | 497-503 |

Number of pages | 7 |

Journal | Communications of the Korean Mathematical Society |

Volume | 27 |

Issue number | 3 |

DOIs | |

Publication status | Published - Dec 27 2012 |

Externally published | Yes |

### All Science Journal Classification (ASJC) codes

- Mathematics(all)
- Applied Mathematics

## Fingerprint Dive into the research topics of 'On elliptic curves whose 3-torsion subgroup splits as μ3 ⊕ ℤ/3ℤ'. Together they form a unique fingerprint.

## Cite this

Yasuda, M. (2012). On elliptic curves whose 3-torsion subgroup splits as μ3 ⊕ ℤ/3ℤ.

*Communications of the Korean Mathematical Society*,*27*(3), 497-503. https://doi.org/10.4134/CKMS.2012.27.3.497