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Rational points on $X_{0}^{+} (N)$ and quadratic $ℚ$ -curves

Steven D. Galbraith — 2002

Journal de théorie des nombres de Bordeaux

The rational points on $X_{0} (N) / W_{N}$ in the case where $N$ is a composite number are considered. A computational study of some of the cases not covered by the results of Momose is given. Exceptional rational points are found in the cases $N = 91$ and $N = 125$ and the $j$ -invariants of the corresponding quadratic $ℚ$ -curves are exhibited.

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

Galbraith, Steven D. — 1999

Experimental Mathematics

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Rational points on X 0 + ( N ) and quadratic ℚ -curves

Rational points on X 0 + ( p ) .

Rational points on $X_{0}^{+} (N)$ and quadratic $ℚ$ -curves

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