Determination of the modular Jacobian varieties $J_1(M,MN)$ with the Mordell-Weil rank zero

DOI10.1007/S40993-023-00430-4arXiv2111.08215MaRDI QIDQ6383141

Koji Matsuda

Publication date: 15 November 2021

Abstract: In this paper, we determine all modular Jacobian varieties $J_1(M,MN)$ over the number field $mathbbQ(zet{a}_M)$ with the Mordell-Weil rank zero following the method of Derickx, Etropolski, van Hoeij, Morrow, and Zureick-Brown.

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Elliptic curves (14H52)

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