\titleofpresentation{Bernoulli--Frey Elliptic Curves}

\presenter{\.Ilker \.Inam}

This is joint work with
Aysun Yurtta\c s, Osman Bizim, and \.I. Naci Cang\"ul.

In this work, authors establish
some connections between Bernoulli numbers and Elliptic curves.
They form a new class of elliptic curves of Frey type by using
Bernoulli numbers as coefficients and call this class
Bernoulli-Frey elliptic curves. In the first part, they give a
summary about Bernoulli numbers, then in the second part, they
introduce elliptic curve theory which became more famous with the
solution of Fermat's Last Theorem. Finally, they give a definition
of a class of elliptic curves called "Bernoulli-Frey Elliptic
Curves". Also, they give a classification of rational points on
Bernoulli-Frey elliptic curves and they give some properties of
them.

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\presenteraddress{Uluda\u g University, Faculty of Science,
Department of Mathematics, G\"{o}r\"{u}kle 16059, Bursa, TURKEY}

\email{inam@uludag.edu.tr}
%, ayurttas@uludag.edu.tr,
%obizim@uludag.edu.tr, cangul@uludag.edu.tr}

