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[CP23] Jerson Caro, Hector Pasten, On the ﬁbres of an elliptic surface where the rank does not jum p, Bull · 2023 · Bulletin of the Australian Mathematical Society · DOI 10.1017/s0004972722001368

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An elliptic surface with infinitely many fibers for which the rank does not jump

math.NT · 2025-02-03 · accept · novelty 8.0

For the elliptic curve E_t: y^2 = x(x^2 - x + t), the paper proves that E_t(Q) has rank 0 for infinitely many rational t.

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An elliptic surface with infinitely many fibers for which the rank does not jump math.NT · 2025-02-03 · accept · none · ref 1
For the elliptic curve E_t: y^2 = x(x^2 - x + t), the paper proves that E_t(Q) has rank 0 for infinitely many rational t.

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