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Elliptic curves and Triangles with three rational medians

✍ Scribed by Dujella, Andrej; Peral, Juan Carlos


Book ID
120495312
Publisher
Elsevier Science
Year
2013
Tongue
English
Weight
155 KB
Volume
133
Category
Article
ISSN
0022-314X

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πŸ“œ SIMILAR VOLUMES


Triangles with Three Rational Medians
✍ Ralph H. Buchholz πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 905 KB

We present a characterization of all rational sided triangles with three rational medians. It turns out that they each correspond to a point on a one-parameter family of elliptic curves. It is possible to show that the rank of this family is at least two and in fact some reasonably high rank curves

Rational and Elliptic Parametrizations o
✍ Josep GonzΓ‘lez; Joan-C. Lario πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 359 KB

We describe explicit parametrizations of the rational points of X\*(N), the algebraic curve obtained as quotient of the modular curve X 0 (N) by the group B(N) generated by the Atkin Lehner involutions, whenever N is square-free and the curve is rational or elliptic. By taking into account the modul