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• W2963701088 abstract "We study genus one curves that arise as 2-, 3and 4-coverings of elliptic curves. We describe efficient algorithms for testing local solubility and modify the classical formulae for the covering maps so that they work in all characteristics. These ingredients are then combined to give explicit bounds relating the height of a rational point on one of the covering curves to the height of its image on the elliptic curve. We use our results to improve the existing methods for searching for rational points on elliptic curves." @default.
• W2963701088 created "2019-07-30" @default.
• W2963701088 creator A5004719746 @default.
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• W2963701088 date "2012-09-01" @default.
• W2963701088 modified "2023-09-27" @default.
• W2963701088 title "Local solubility and height bounds for coverings of elliptic curves" @default.
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• W2963701088 doi "https://doi.org/10.1090/s0025-5718-2012-02587-7" @default.
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