On elliptic curves whose conductor is a product of two prime powers
Author's Department
Mathematics & Actuarial Science Department
Find in your Library
https://doi.org/10.1090/S0025-5718-2013-02726-3
Document Type
Research Article
Publication Title
Mathematics of Computation
Publication Date
1-1-2014
doi
10.1090/S0025-5718-2013-02726-3
Abstract
We find all elliptic curves defined over ℚ that have a rational point of order N, N ≥ 4, and whose conductor is of the form paqb, where p, q are two distinct primes and a, b are two positive integers. In particular, we prove that Szpiro's conjecture holds for these elliptic curves. © 2013 American Mathematical Society.
First Page
447
Last Page
460
Recommended Citation
APA Citation
Sadek, M.
(2014). On elliptic curves whose conductor is a product of two prime powers. Mathematics of Computation, 83(285), 447–460.
10.1090/S0025-5718-2013-02726-3
https://fount.aucegypt.edu/faculty_journal_articles/818
MLA Citation
Sadek, Mohammad
"On elliptic curves whose conductor is a product of two prime powers." Mathematics of Computation, vol. 83,no. 285, 2014, pp. 447–460.
https://fount.aucegypt.edu/faculty_journal_articles/818