Mazur’s rational torsion result for pointless genus one curves: examples

HIGHLIGHTS

• who: Arjan Dwarshuis from the Bernoulli Institute, University of AG, The Netherlands have published the Article: Mazur’s rational torsion result for pointless genus one curves: examples, in the Journal: (JOURNAL)

SUMMARY

A famous theorem [10, Thm. All positive divisors occur as order of rational points, for infinitely many pairwise non-isomorphic curves E. Theorem 1.1 If X is a curve of genus one defined over Q, then any automorphism of finite order defined over Q of X has order dividing one of {7, 8, 9, 10, 12}. Put E:=Jac(X . . .

 



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