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arXiv · 1608.08078

Root numbers and parity of local Iwasawa invariants

Suman Ahmed·Chandrakant Aribam·Sudhanshu Shekhar
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Abstract

Given two elliptic curves $E_1$ and $E_2$ defined over the field of rational numbers, $\mathbb{Q}$, with good reduction at an odd prime $p$ and equivalent mod $p$ Galois representation, we compare the $p$-Selmer rank, global and local root numbers of $E_1$ and $E_2$ over number fields.

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Suman Ahmed, Chandrakant Aribam, Sudhanshu Shekhar. 2017-02-02. Root numbers and parity of local Iwasawa invariants. https://doi.org/10.1016/j.jnt.2017.01.019

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