New posts in Elliptic Curves

On the integral $\int_0^1\frac{dx}{\sqrt[4]x\ \sqrt{1-x}\ \sqrt[4]{1-x\,\gamma^2}}=\frac{1}{N}\,\frac{2\pi}{\sqrt{2\gamma}}$

Isotrivial but non-trivial family of elliptic curves

How many elliptic curves have complex multiplication?

Is the equality $1^2+\cdots + 24^2 = 70^2$ just a coincidence?

Rational solutions of $y^2 = x^3 - x$

Birational Equivalence of Diophantine Equations and Elliptic Curves

The term “elliptic”

Galois invariants of the Tate module of an elliptic curve over a number field

Why does the elliptic curve for $a+b+c = abc = 6$ involve a solvable nonic?

Integral solutions to $56u^2 + 12 u + 1 = w^3$