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folenn
folenn
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Torsion points on $E(/\mathbb{Q})=\mathbb{Z}/2$$ with large coordinates

Let $E/\mathbb{Q}$ be an elliptic curve such that $E(\mathbb{Q})=\mathbb{Z}/2$with finitely many rational points.

What are some examples where the torsionat least one rational point has large coordinates (compared to the height of $E$)?

$E(\mathbb{Q})=\mathbb{Z}/2$ with large coordinates

Let $E/\mathbb{Q}$ be an elliptic curve such that $E(\mathbb{Q})=\mathbb{Z}/2$.

What are some examples where the torsion point has large coordinates (compared to the height of $E$)?

Torsion points on $E/\mathbb{Q}$ with large coordinates

Let $E/\mathbb{Q}$ be an elliptic curve with finitely many rational points.

What are some examples where at least one rational point has large coordinates (compared to the height of $E$)?

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folenn
folenn
  • 41
  • 2

$E(\mathbb{Q})=\mathbb{Z}/2$ with large coordinates

Let $E/\mathbb{Q}$ be an elliptic curve such that $E(\mathbb{Q})=\mathbb{Z}/2$.

What are some examples where the torsion point has large coordinates (compared to the height of $E$)?