High rank eliptic curves of the form y2 = x3 + Bx.

Aguirre, Julián, Castañeda, Fernando, and Peral, Juan Carlos. "High rank eliptic curves of the form y2 = x3 + Bx.." Revista Matemática Complutense 13.1 (2000): 17-31. <http://eudml.org/doc/44365>.

@article{Aguirre2000,
abstract = {Seven elliptic curves of the form y2 = x3 + 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.},
author = {Aguirre, Julián, Castañeda, Fernando, Peral, Juan Carlos},
journal = {Revista Matemática Complutense},
keywords = {Curvas elípticas; Rango; elliptic curves; rank conjecture},
language = {eng},
number = {1},
pages = {17-31},
title = {High rank eliptic curves of the form y2 = x3 + Bx.},
url = {http://eudml.org/doc/44365},
volume = {13},
year = {2000},
}

TY - JOUR
AU - Aguirre, Julián
AU - Castañeda, Fernando
AU - Peral, Juan Carlos
TI - High rank eliptic curves of the form y2 = x3 + Bx.
JO - Revista Matemática Complutense
PY - 2000
VL - 13
IS - 1
SP - 17
EP - 31
AB - Seven elliptic curves of the form y2 = x3 + 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.
LA - eng
KW - Curvas elípticas; Rango; elliptic curves; rank conjecture
UR - http://eudml.org/doc/44365
ER -