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Algorithms for Modular Elliptic Curves

Cremona, J.E.

ISBN 10: 0521418135 / ISBN 13: 9780521418133
Published by Cambridge University Press, 1992
Used Condition: Good
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Cover very barely sunned, edges very barely rubbed/bumped, top front corner very barely dog-eared; spine very lightly sunned/bumped; edges very barely soiled; cover and interior intact and very clean; due to the size of this item, additional shipping charges will apply for International/Expedited orders. Bookseller Inventory # 594208

Bibliographic Details

Title: Algorithms for Modular Elliptic Curves

Publisher: Cambridge University Press

Publication Date: 1992

Binding: spiral_bound

Book Condition:Good

About this title

Synopsis:

This book presents a thorough treatment of many algorithms concerning the arithmetic of elliptic curves with remarks on computer implementation. It is in three parts. First, the author describes in detail the construction of modular elliptic curves, giving an explicit algorithm for their computation using modular symbols. Second, a collection of algorithms for the arithmetic of elliptic curves is presented; some of these have not appeared in book form before. They include: finding torsion and nontorsion points, computing heights, finding isogenies and periods, and computing the rank. Finally, an extensive set of tables is provided giving the results of the author's implementations of the algorithms. These tables extend the widely used "Antwerp IV Tables" in two ways, the range of conductors (up to 1000) and the level of detail given for each curve. In particular the quantities relating to the Birch-Swinnerton-Dyer conjecture have been computed in each case and are included.

Book Description:

This book presents a thorough treatment of many algorithms concerning the arithmetic of elliptic curves, with remarks on computer implementation. An extensive set of tables is provided giving the results of the author's implementation of the algorithms.

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