Parity of ranks of elliptic curves with equivalent mod 𝑝 Galois representations-Reference-Cited by-同舟云学术

Parity of ranks of elliptic curves with equivalent mod 𝑝 Galois representations

Published:2016-02-03 Issue:8 Volume:144 Page:3255-3266
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Shekhar Sudhanshu

Abstract

Given two elliptic curves E 1 E_1 and E 2 E_2 defined over the field of rational numbers Q \mathbb {Q} that have good and ordinary reduction at an odd prime p p , and have equivalent, irreducible mod p p Galois representations, we study the variation of the parity of Selmer ranks and analytic ranks of E 1 E_1 and E 2 E_2 over certain number fields.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/2016-144-08/S0002-9939-2016-12993-6/S0002-9939-2016-12993-6.pdf

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