In this paper, we study elliptic curves E over ( such thatthe 3-torsion subgroup E is split as μ3 ⊕ ℤ/3ℤ. For a non-zero integer m, let Cm denote the curve x3 + y3 = m. We consider the relation between the set of integral points of Cm and the elliptic curves E with E ≃ μ3 ⊕ ℤ/3ℤ.
!!!All Science Journal Classification (ASJC) codes
- 数学 (全般)