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Field name	Details
Title	One Semester of Elliptic Curves ([EBook] /) / Torsten Ekedahl
Author	Ekedahl, Torsten
Publication	Zuerich, Switzerland : : European Mathematical Society Publishing House, , 2006
Physical Details	1 online resource (138 pages)
Series	EMS Series of Lectures in Mathematics (ELM) 2523-5176
ISBN	9783037195154
Summary Note	These lecture notes grew out of a one semester introductory course on elliptic curves given to an audience of computer science and mathematics students, and assume only minimal background knowledge. After having covered basic analytic and algebraic aspects, putting special emphasis on explaining the interplay between algebraic and analytic formulas, they go on to some more specialized topics. These include the j-function from an algebraic and analytic perspective, a discussion of elliptic curves over finite fields, derivation of recursion formulas for the division polynomials, the algebraic structure of the torsion points of an elliptic curve, complex multiplication, and modular forms. In an effort to motivate basic problems the book starts very slowly, but considers some aspects such as modular forms of higher level which are not usually treated. It presents more than 100 exercises and a Mathematica™ notebook that treats a number of calculations involving elliptic curves. The book is aimed at students of mathematics with a general interest in elliptic curves but also at students of computer science interested in their cryptographic aspects.:
Mode of acces to digital resource	Mode of access: World Wide Web. System requirements: Internet Explorer 6.0 (or higher) or Firefox 2.0 (or higher). Available as searchable text in PDF format.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site	https://doi.org/10.4171/015
See Also	https://www.ems-ph.org/img/books/ekedahl_mini.gif
Links to Related Works	Subject References: Algebraic Geometry . Convex and Discrete Geometry . Authors: author . Ekedahl, Torsten . Series: EMS Series of Lectures in Mathematics (ELM) .

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One Semester of Elliptic Curves

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