We provide an algorithm for computing an effective basis of homology of elliptic surfaces over the complex projective line on which integration of periods can be carried out. This allows the heuristic recovery of several algebraic invariants of the surface, notably the N\'eron-Severi lattice, the transcendental lattice, the Mordell-Weil group and the Mordell-Weil lattice. This algorithm comes with a SageMath implementation.

翻译：我们提出了一种算法，用于计算复射影线上椭圆曲面的有效同调基，使得周期的积分得以实现。该算法能够启发式地恢复曲面的若干代数不变量，特别是Néron-Severi格、超越格、Mordell-Weil群及Mordell-Weil格。该算法附带SageMath实现。