Elliptic curves and Thompson's sporadic simple group

نویسندگان

چکیده

We characterize all infinite-dimensional graded virtual modules for Thompson's sporadic simple group whose traces are weight 32 weakly holomorphic modular forms satisfying certain special properties. then use these to detect the non-triviality of Mordell–Weil, Selmer, and Tate-Shafarevich groups quadratic twists elliptic curves.

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ژورنال

عنوان ژورنال: Journal of Number Theory

سال: 2021

ISSN: ['0022-314X', '1096-1658']

DOI: https://doi.org/10.1016/j.jnt.2021.01.015