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Small Numbers (13)

المؤلف:  Mazur, B. and Tate, J.

المصدر:  "Points of Order 13 on Elliptic Curves." Invent. Math. 22

الجزء والصفحة:  ...

12-8-2020

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Small Numbers (13)

A number traditionally associated with bad luck. A so-called baker's dozen is equal to 13. Fear of the number 13 is called triskaidekaphobia. There are 13 Archimedean solids. Mazur and Tate (1973/74) proved that there is no elliptic curve over the rationals  having a rational point of order 13.

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REFERENCES:

Mazur, B. and Tate, J. "Points of Order 13 on Elliptic Curves." Invent. Math. 22, 41-49, 1973/74.

Wells, D. The Penguin Dictionary of Curious and Interesting Numbers. Middlesex, England: Penguin Books, 1986.