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Watkins's logarithmic-density conjecture for rank-5cgeq 1 twists of a hyperelliptic curve
Watkins's conjecture. The set of quadratic twists $C^{(d)}$ with rank at least $1$ has logarithmic density
Conjectureopenhyperelliptic-curves quadratic-twists ranks-of-abelian-varietiesarXiv posted 2 days ago

Watkins's logarithmic-density conjecture for rank-5cgeq 1 twists of a hyperelliptic curve