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Congruent number and Elliptic curve

Shortcuts: Differences, Similarities, Jaccard Similarity Coefficient, References.

Difference between Congruent number and Elliptic curve

Congruent number vs. Elliptic curve

In mathematics, a congruent number is a positive integer that is the area of a right triangle with three rational number sides. In mathematics, an elliptic curve is a plane algebraic curve defined by an equation of the form which is non-singular; that is, the curve has no cusps or self-intersections.

Similarities between Congruent number and Elliptic curve

Congruent number and Elliptic curve have 10 things in common (in Unionpedia): Birch and Swinnerton-Dyer conjecture, Group (mathematics), Inventiones Mathematicae, Mathematics, Modular arithmetic, Rank of an abelian group, Rational point, Springer Science+Business Media, Square-free integer, Tunnell's theorem.

Birch and Swinnerton-Dyer conjecture

In mathematics, the Birch and Swinnerton-Dyer conjecture describes the set of rational solutions to equations defining an elliptic curve.

Birch and Swinnerton-Dyer conjecture and Congruent number · Birch and Swinnerton-Dyer conjecture and Elliptic curve · See more »

Group (mathematics)

In mathematics, a group is an algebraic structure consisting of a set of elements equipped with an operation that combines any two elements to form a third element and that satisfies four conditions called the group axioms, namely closure, associativity, identity and invertibility.

Congruent number and Group (mathematics) · Elliptic curve and Group (mathematics) · See more »

Inventiones Mathematicae

Inventiones Mathematicae is a mathematical journal published monthly by Springer Science+Business Media.

Congruent number and Inventiones Mathematicae · Elliptic curve and Inventiones Mathematicae · See more »

Mathematics

Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.

Congruent number and Mathematics · Elliptic curve and Mathematics · See more »

Modular arithmetic

In mathematics, modular arithmetic is a system of arithmetic for integers, where numbers "wrap around" upon reaching a certain value—the modulus (plural moduli).

Congruent number and Modular arithmetic · Elliptic curve and Modular arithmetic · See more »

Rank of an abelian group

In mathematics, the rank, Prüfer rank, or torsion-free rank of an abelian group A is the cardinality of a maximal linearly independent subset.

Congruent number and Rank of an abelian group · Elliptic curve and Rank of an abelian group · See more »

Rational point

In number theory and algebraic geometry, a rational point of an algebraic variety is a solution of a set of polynomial equations in a given field.

Congruent number and Rational point · Elliptic curve and Rational point · See more »

Springer Science+Business Media

Springer Science+Business Media or Springer, part of Springer Nature since 2015, is a global publishing company that publishes books, e-books and peer-reviewed journals in science, humanities, technical and medical (STM) publishing.

Congruent number and Springer Science+Business Media · Elliptic curve and Springer Science+Business Media · See more »

Square-free integer

In mathematics, a square-free integer is an integer which is divisible by no perfect square other than 1.

Congruent number and Square-free integer · Elliptic curve and Square-free integer · See more »

Tunnell's theorem

In number theory, Tunnell's theorem gives a partial resolution to the congruent number problem, and under the Birch and Swinnerton-Dyer conjecture, a full resolution.

Congruent number and Tunnell's theorem · Elliptic curve and Tunnell's theorem · See more »

The list above answers the following questions

Congruent number and Elliptic curve Comparison

Congruent number has 25 relations, while Elliptic curve has 159. As they have in common 10, the Jaccard index is 5.43% = 10 / (25 + 159).

References

This article shows the relationship between Congruent number and Elliptic curve. To access each article from which the information was extracted, please visit:

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