New posts in Elliptic Curves

Rank of jacobians of twists of hyperelliptic curves of genus one

Is this lattice in the Tate module of an elliptic curve, coming from complex-analytic uniformization, stable under Frobenius?

Q-curves and twisting

Conceptual explanations of the class numbers for the first few $\mathbb{Q}(\sqrt{p})$ with odd conductor

Why is this "the first elliptic curve in nature"?

How can I see the relation between shtukas and the Langlands conjecture?

Around the diophantine equation $\frac{a}{2b+3c}+\frac{b}{2c+3a}+\frac{c}{2a+3b}=\text{odd integer}$, over positive integers

Counterpart of cyclotomic polynomials for elliptic divisibility sequences

Equivalent notions of congruence for elliptic curves over $\mathbb{Q}$

Diophantine equations $ax^4+by^2=c$ in rational numbers