Rank computations for the congruent number elliptic curves.
Rogers, Nicholas F. (2000)
Experimental Mathematics
Similarity:
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
Displaying similar documents to “Families of elliptic curves of high rank with nontrivial torsion group over ℚ”
Rank computations for the congruent number elliptic curves.
Elliptic curves of high rank with nontrivial torsion group over .
Kulesz, Leopoldo, Stahlke, Colin (2001)
Experimental Mathematics
Similarity:
A search for high rank congruent number elliptic curves.
Dujella, Andrej, Janfada, Ali S., Salami, Sajad (2009)
Journal of Integer Sequences [electronic only]
Similarity:
An infinite family of elliptic curves over Q with large rank via Néron's method.
Tesuji Shioda (1991)
Inventiones mathematicae
Similarity:
On Some Elliptic Curves Defined Over ... of Free Rank ... 9.
Kumiko Nakata (1979)
Manuscripta mathematica
Similarity:
Numerical investigations related to the derivatives of the -series of certain elliptic curves.
Delaunay, C., Duquesne, S. (2003)
Experimental Mathematics
Similarity:
On certain twisted families of elliptic curves of rank 8.
Hizuru Yamagishi (1998)
Manuscripta mathematica
Similarity:
High rank eliptic curves of the form y = x + Bx.
Julián Aguirre, Fernando Castañeda, Juan Carlos Peral (2000)
Revista Matemática Complutense
Similarity:
Seven elliptic curves of the form y = x + B x and having rank at least 8 are presented. To find them we use the double descent method of Tate. In particular we prove that the curve with B = 14752493461692 has rank exactly 8.
The average rank of elliptic curves I. With Appendix "The Explicit formula for elliptic curves over function fields" by Oisín McGuinness.
Armand Brumer, Oisín McGuinness (1992)
Inventiones mathematicae
Similarity:
Integer Points and the Rank of Thue Elliptic Curves.
Joseph H. Silvermann (1982)
Inventiones mathematicae
Similarity:
An interesting family of curves of genus 1.
Bremner, Andrew (2000)
International Journal of Mathematics and Mathematical Sciences
Similarity:
Rank of elliptic curves associated to Brahmagupta quadrilaterals
Farzali Izadi, Foad Khoshnam, Arman Shamsi Zargar (2016)
Colloquium Mathematicae
Similarity:
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. ...
Q(T)-rank of elliptic curves and certain limit coming from the local points.
Koh-ichi Nagao (1997)
Manuscripta mathematica
Similarity:
On the Tate-Shafarevich group of semistable elliptic curves with a rational 3-torsion
Noboru Aoki (2004)
Acta Arithmetica
Similarity: