Skip to Main Content

Mathematics of Computation

Published by the American Mathematical Society since 1960 (published as Mathematical Tables and other Aids to Computation 1943-1959), Mathematics of Computation is devoted to research articles of the highest quality in computational mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2020 MCQ for Mathematics of Computation is 1.78.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

An algorithm for finding a minimal Weierstrass equation for an elliptic curve
HTML articles powered by AMS MathViewer

by Michael Laska PDF
Math. Comp. 38 (1982), 257-260 Request permission

Abstract:

Let E be an elliptic curve defined over an algebraic number field K and assume that some Weierstrass equation for E over K is given. Then an algorithm is described which yields a global minimal Weierstrass equation for E over K provided such a global minimal Weierstrass equation does exist.
References
  • John T. Tate, The arithmetic of elliptic curves, Invent. Math. 23 (1974), 179–206. MR 419359, DOI 10.1007/BF01389745
  • J. T. Tate, “Algorithm for determining the type of singular fiber in an elliptic pencil,” Modular Functions of One Variable. IV, Lecture Notes in Math., Vol. 476, Springer-Verlag, Berlin and New York, 1975.
Similar Articles
Additional Information
  • © Copyright 1982 American Mathematical Society
  • Journal: Math. Comp. 38 (1982), 257-260
  • MSC: Primary 14K15; Secondary 14-04, 14G25, 14K07
  • DOI: https://doi.org/10.1090/S0025-5718-1982-0637305-2
  • MathSciNet review: 637305