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- W2950051407 abstract "We give explicit examples of infinite families of elliptic curves E over Q with (nonconstant) quadratic twists over Q(t) of rank at least 2 and 3. We recover some results announced by Mestre, as well as some additional families. Suppose D is a squarefree integer and let r_E(D) denote the rank of the quadratic twist of E by D. We apply results of Stewart and Top to our examples to obtain results of the form #{D : |D| = 2} >> x^{1/3}, #{D : |D| = 3} >> x^{1/6} for all sufficiently large x." @default.
- W2950051407 created "2019-06-27" @default.
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- W2950051407 date "2000-10-05" @default.
- W2950051407 modified "2023-09-27" @default.
- W2950051407 title "Rank frequencies for quadratic twists of elliptic curves" @default.
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