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arXiv · 2111.08215

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

Koji Matsuda
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Abstract

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

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Koji Matsuda. 2021-11-16. Determination of the modular Jacobian varieties $J_1(M,MN)$ with the Mordell-Weil rank zero. https://doi.org/10.1007/s40993-023-00430-4

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