Curlie

Elliptic Curves and Modular Forms

Elliptic Curves are related to the solutions to equations y^2 = x^3 + A x + B in the field of rationals, algebraic extensions of the rationals, p-adic rational numbers, or a finite field. They are used in factorization of integers and also played a role in the recent resolution of the conjecture known as Fermat's Last Theorem.

Please submit only sites of theoretical content in the subject of elliptic curves and modular forms. This may include applications of such theory, such as their usage in primality proving, factorization, and cryptography - however in these cases consider carefully whether the site is more suited to those categories in the Open Directory Project. Software programs and tables should be submitted to the appropriate subcategory.

Software

The calculation of properties of elliptic curves such as their torsion groups, rank, and point counting on elliptic curves over finite fields is a highly non-trivial process. This category lists software programs written specifically to perform these calculations.

Submit sites for software that perform calculations specific to the study of elliptic curves. In particular, programs that use elliptic curves in applications such as primality proving, factorization, and cryptography should be considered for the Software category in those topics.

Tables

Databases, tables, and scripts to enumerate and classify elliptic curves.

Please submit sites that contain numerical data only. Sites that include theoretical content should be submitted to the parent category. Software programs to produce such output are better suited to Science/Math/Number_Theory/Software.