We determine the set $S(d)$ of possible prime orders of $K$-rational points
on elliptic curves over number fields $K$ of degree $d$, for $d = 4,5$ and $6$

Derickx, Maarten

Kamienny, Sheldon

Stein, William

Stoll, Michael

English

arXiv

We determine the set $S(d)$ of possible prime orders of $K$-rational points
on elliptic curves over number fields $K$ of degree $d$, for $d = 4$, $5$, $6$,
and $7$.Comment: v2: Paper almost completely rewritten; exact determination of S(7) is
  new; added classification of elliptic curves over sextic fields with a point
  of order 3

Torsion points on elliptic curves over number fields of small degree

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