Covering techniques and rational points on some genus 5 curves

zbMath1416.11104arXiv1311.5759MaRDI QIDQ2990068

Enrique González-Jiménez

Publication date: 29 July 2016

Full work available at URL: https://arxiv.org/abs/1311.5759

zbMATH Keywords

rational pointsarithmetic progressionPell equationsWeierstrass equationEdwards curves\(\mathbb Q\)-derived polynomialscovering collectionsellptic curve Chabautygenus 5 curve

Mathematics Subject Classification ID

Quadratic and bilinear Diophantine equations (11D09) Arithmetic ground fields for curves (14H25) [https://portal.mardi4nfdi.de/w/index.php?title=+Special%3ASearch&search=%22Curves+of+arbitrary+genus+or+genus+%28%0D%0Ae+1%29+over+global+fields%22&go=Go Curves of arbitrary genus or genus ( e 1) over global fields (11G30)] Cubic and quartic Diophantine equations (11D25) Arithmetic progressions (11B25)

Related Items (4)

On arithmetic progressions in Lucas sequences. II ⋮ Four rational squares in arithmetic progressions and a family of elliptic curves with positive Mordell-Weil rank ⋮ Diagonal genus 5 curves, elliptic curves over $\mathbb {Q}(t)$, and rational diophantine quintuples ⋮ Torsion of rational elliptic curves over quadratic fields. II

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