Open AccessInfinitely many elliptic curves of rank exactly two II
Author(s) -
Keunyoung Jeong
Publication year - 2019
Publication title -
proceedings of the japan academy series a mathematical sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.423
H-Index - 22
ISSN - 0386-2194
DOI - 10.3792/pjaa.95.53
Subject(s) - rank (graph theory) , mathematics , elliptic curve , supersingular elliptic curve , pure mathematics , combinatorics
In this note, we construct an infinite family of elliptic curves E defined over Q whose Mordell-Weil group E(Q) has rank exactly two under the parity conjecture.
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