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Ranks of elliptic curves in cubic extensions

Tim Dokchitser (2007)

Acta Arithmetica

Rational points of a curve which has a nontrivial automorphism

Masami Fujimori (1997)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Rational points on curves

Michael Stoll (2011)

Journal de Théorie des Nombres de Bordeaux

This is an extended version of an invited lecture I gave at the Journées Arithmétiques in St. Étienne in July 2009.We discuss the state of the art regarding the problem of finding the set of rational points on a (smooth projective) geometrically integral curve $C$ over $ℚ$ . The focus is on practical aspects of this problem in the case that the genus of $C$ is at least $2$ , and therefore the set of rational points is finite.

Rational points on $X_{0}^{+} (p)$ .

Galbraith, Steven D. (1999)

Experimental Mathematics

Displaying 1 – 4 of 4

Ranks of elliptic curves in cubic extensions

Rational points of a curve which has a nontrivial automorphism

Rational points on curves

Rational points on X 0 + ( p ) .

Currently displaying 1 – 4 of 4

Rational points on $X_{0}^{+} (p)$ .