On the prime factors of non-congruent numbers

@article{LindseyReinholz2015,
abstract = {We give infinitely many new families of non-congruent numbers where the first prime factor of each number is of the form 8k+1 and the rest of the prime factors have the form 8k+3. Products of elements in each family are shown to be non-congruent.},
author = {Lindsey Reinholz, Blair K. Spearman, Qiduan Yang},
journal = {Colloquium Mathematicae},
keywords = {elliptic curve; congruent numbers; non-congruent numbers; rank},
language = {eng},
number = {2},
pages = {271-282},
title = {On the prime factors of non-congruent numbers},
url = {http://eudml.org/doc/284169},
volume = {138},
year = {2015},
}

TY - JOUR
AU - Lindsey Reinholz
AU - Blair K. Spearman
AU - Qiduan Yang
TI - On the prime factors of non-congruent numbers
JO - Colloquium Mathematicae
PY - 2015
VL - 138
IS - 2
SP - 271
EP - 282
AB - We give infinitely many new families of non-congruent numbers where the first prime factor of each number is of the form 8k+1 and the rest of the prime factors have the form 8k+3. Products of elements in each family are shown to be non-congruent.
LA - eng
KW - elliptic curve; congruent numbers; non-congruent numbers; rank
UR - http://eudml.org/doc/284169
ER -