Descent via isogeny on elliptic curves with large rational torsion subgroups
نویسندگان
چکیده
منابع مشابه
Descent via isogeny on elliptic curves with large rational torsion subgroups
We outline PARI programs which assist with various algorithms related to descent via isogeny on elliptic curves. We describe, in this context, variations of standard inequalities which aid the computation of members of the Tate-Shafarevich group. We apply these techniques to several examples: in one case we use descent via 9-isogeny to determine the rank of an elliptic curve; in another case we...
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ژورنال
عنوان ژورنال: Journal of Symbolic Computation
سال: 2008
ISSN: 0747-7171
DOI: 10.1016/j.jsc.2007.11.001