A search for high rank congruent number elliptic curves.
Dujella, Andrej, Janfada, Ali S., Salami, Sajad (2009)
Journal of Integer Sequences [electronic only]
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Displaying similar documents to “High rank eliptic curves of the form y2 = x3 + Bx.”
A search for high rank congruent number elliptic curves.
Rank computations for the congruent number elliptic curves.
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Kulesz, Leopoldo, Stahlke, Colin (2001)
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Numerical investigations related to the derivatives of the -series of certain elliptic curves.
Delaunay, C., Duquesne, S. (2003)
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Bremner, Andrew (2000)
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Rubin, Karl, Silverberg, Alice (2001)
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An infinite family of elliptic curves over Q with large rank via Néron's method.
Tesuji Shioda (1991)
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On Some Elliptic Curves Defined Over ... of Free Rank ... 9.
Kumiko Nakata (1979)
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Rank of elliptic curves associated to Brahmagupta quadrilaterals
Farzali Izadi, Foad Khoshnam, Arman Shamsi Zargar (2016)
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We construct a family of elliptic curves with six parameters, arising from a system of Diophantine equations, whose rank is at least five. To do so, we use the Brahmagupta formula for the area of cyclic quadrilaterals (p³,q³,r³,s³) not necessarily representing genuine geometric objects. It turns out that, as parameters of the curves, the integers p,q,r,s along with the extra integers u,v satisfy u⁶+v⁶+p⁶+q⁶ = 2(r⁶+s⁶), uv = pq, which, by previous work, has infinitely many integer solutions. ...
The average rank of elliptic curves I. With Appendix "The Explicit formula for elliptic curves over function fields" by Oisín McGuinness.
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Integer Points and the Rank of Thue Elliptic Curves.
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