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Elliptic Curve

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An elliptic curve is curve defined by an irreducible cubic polynomial in two variables.

Elliptic curve is a graduate-level concept that would be first encountered in a number theory course.

Prerequisites

Diophantine Equation: A Diophantine equation is an equation for which only integer solutions are allowed.
Number Theory: A field of mathematics sometimes called "higher arithmetic" consisting of the study of the properties of integers. Primes and prime factorization are especially important concepts in number theory.

Classroom Articles on Number Theory (Up to Graduate Level)

  • Congruence
  • Prime Counting Function
  • Continued Fraction
  • Prime Factorization Algorithms
  • Convergent
  • Prime Number Theorem
  • Divisor Function
  • Quadratic Reciprocity Theorem
  • Euclidean Algorithm
  • Riemann Zeta Function
  • Euler-Mascheroni Constant
  • Squarefree
  • Fermat's Last Theorem
  • Totient Function
  • Partition
  • Transcendental Number
  • Perfect Number