A. Dkabrowski

activity

20192025

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Showing 2021Show all

2 papers · 1 filter

math.NT2021

Critical $L$ -values of Gross curves

Andrzej Dąbrowski, Tomasz Jędrzejak, Lucjan Szymaszkiewicz

Let $K = Q (- q)$ , where $q$ is a prime congruent to $3$ modulo $4$ . Let $A = A (q)$ denote the Gross curve over the Hilbert class field $H$ of $K$ . In this note we use…

math.NT2021

Elliptic curves with exceptionally large analytic order of the Tate-Shafarevich groups

Andrzej Dąbrowski, Lucjan Szymaszkiewicz

We exhibit $88$ examples of rank zero elliptic curves over the rationals with $|\sza(E)| > 63408^2$, which was the largest previously known value for any explicit curve. Our record…

Critical L-values of Gross curves

Elliptic curves with exceptionally large analytic order of the Tate-Shafarevich groups

Critical $L$ -values of Gross curves