A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2020; you can also visit the original URL.
The file type is application/pdf
.
Sporadic Cubic Torsion
[article]
2020
arXiv
pre-print
Let K be a number field, and let E/K be an elliptic curve over K. The Mordell–Weil theorem asserts that the K-rational points E(K) of E form a finitely generated abelian group. In this work, we complete the classification of the finite groups which appear as the torsion subgroup of E(K) for K a cubic number field. To do so, we determine the cubic points on the modular curves X_1(N) for N = 21, 22, 24, 25, 26, 28, 30, 32, 33, 35, 36, 39, 45, 65, 121. As part of our analysis, we determine the
arXiv:2007.13929v1
fatcat:mz4tjwlwvvbuhjsrllt2a3e2li