Typically bounding torsion on elliptic curves isogenous to rational
نویسندگان
چکیده
We prove that the family I F 0 \mathcal {I}_{F_0} of elliptic curves over number fields are geometrically isogenous to an curve with alttext="upper encoding="application/x-tex">F_0 -rational alttext="j"> j encoding="application/x-tex">j -invariant is typically bounded in torsion. Under additional uniformity assumption, we also d d {I}_{d_0} degree alttext="d encoding="application/x-tex">d_0
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 2023
ISSN: ['2330-1511']
DOI: https://doi.org/10.1090/proc/16298