无穷多条二阶椭圆曲线

Pub Date : 2016-05-01 DOI:10.3792/PJAA.95.53
Keunyoung Jeong
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引用次数: 1

摘要

在宇称猜想下,构造了秩为二的椭圆曲线无穷族,其扭转子群为二阶或三阶的循环群。
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Infinitely many elliptic curves of rank exactly two II
In this paper, we construct an infinite family of elliptic curves whose rank is exactly two and the torsion subgroup is a cyclic group of order two or three, under the parity conjecture.
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