In
mathematics
Mathematics is an area of knowledge that includes the topics of numbers, formulas and related structures, shapes and the spaces in which they are contained, and quantities and their changes. These topics are represented in modern mathematics ...
, the Mestre bound is a bound on the
analytic rank of an
elliptic curve
In mathematics, an elliptic curve is a smooth, projective, algebraic curve of genus one, on which there is a specified point . An elliptic curve is defined over a field and describes points in , the Cartesian product of with itself. If ...
in terms of its conductor, introduced by .
See also
*
Brumer bound
In mathematics, the Brumer bound is a bound for the rank of an elliptic curve
In mathematics, an elliptic curve is a smooth, projective, algebraic curve of genus one, on which there is a specified point . An elliptic curve is defined over ...
References
*
Elliptic curves
Theorems in number theory
{{numtheory-stub