2 problems

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Uniform branch-bound conjecture for torsion curves
Let $\mathcal{C}$ be the curve parameterizing pairs of Legendre coordinates with simultaneous torsion, and let $\mathcal{Z}$ be the corresponding parameter space. Uniform branch-bo…
Conjectureopenalgebraic-curves legendre-family torsion-pointsarXiv posted 2 days ago
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Conjecture on the exceptional Legendre torsion set and the four-element bound
For $\alpha,\beta\in\mathbb{C}\setminus\{0,1\}$ with $\alpha\ne\beta$ , let $T(\alpha,\beta)$ be the set of Legendre parameters for which the points associated with $\alpha$ and…
Conjectureopenelliptic-curves legendre-family torsion-pointsarXiv posted 2 days ago

Uniform branch-bound conjecture for torsion curves