Searching for simultaneous arithmetic progressions on elliptic curves
classification
🧮 math.NT
keywords
curvesarithmeticellipticprogressionsconstructivecoordinatecoordinatescreating
read the original abstract
We look for elliptic curves featuring rational points whose coordinates form two arithmetic progressions, one for each coordinate. A constructive method for creating such curves is shown, for lengths up to 5.
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