Sieving for rational points on hyperelliptic curves

DOI10.1090/S0025-5718-01-01275-3zbMath0992.11038MaRDI QIDQ2723535

Samir Siksek

Publication date: 5 July 2001

Published in: Mathematics of Computation (Search for Journal in Brave)

zbMATH Keywords

hyperelliptic curveelliptic curvesrational pointsDiophantine equationsquadratic reciprocitysieving process

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Computer solution of Diophantine equations (11Y50) Number-theoretic algorithms; complexity (11Y16)

Related Items (1)

Perfect powers expressible as sums of two cubes

Uses Software

• ecdata

Cites Work

• Explicit 4-descents on an elliptic curve
• Second descents for elliptic curves
• Diophantine Equations with Special Reference To Elliptic Curves
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