Dustin Moody, Arman Shamsi Zargar
Abstract
We study the rank of elliptic curves associated to known curves of high arithmetic progressions. A set of rational points $(x_i, y_i)$ on an elliptic curve $E$ is said to be in arithmetic progression if the $x$-coordinates $x_i$ form an arithmetic progres
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We study the rank of elliptic curves associated to known curves of high arithmetic progressions. A set of rational points $(x_i, y_i)$ on an elliptic curve $E$ is said to be in arithmetic progression if the $x$-coordinates $x_i$ form an arithmetic progres
Key concepts: Mathematics, Elliptic curve, Hessian form of an elliptic curve, Arithmetic, Rank (graph theory), Arithmetic progression, Schoof's algorithm, Supersingular elliptic curve