Let $E/ |Q$ the elleiptic curve $Y^2=X^3+p^2X$ with $p \equiv 5 \pmod 8$. Show that the abelian group $E(\mathbb{Q})$ has $\text{ rank}=0$. Could you give me a hint how we could do this? It is known that if $E|_{\mathbb{Q}} Y^2=X^3+aX+b \ \ (a,b \in \mathbb{Z}, D(f) \neq 0)$ then: $$E(\mathbb...

The Problem: In a comment to a question or an answer, or on chat, when a string of over 80 characters is entered without whitespace, the pair of characters \unicode{x200C} (zero-width non-joiner) and \unicode{x200B} (zero-width space) is inserted after 80 characters. This is often bad when it h...

There has been a lot of talk about the daily reputation cap and what counts and what doesn't count and so on. But why is there a cap at all? I've seen lots of questions about whether the cap number should be changed, or whether certain things should or should not apply to the cap, but I've never ...