Displaying similar documents to “Bounds for the order of the Tate-Shafarevich group”

Arithmetic of elliptic curves and diophantine equations

Loïc Merel (1999)

Journal de théorie des nombres de Bordeaux

Similarity:

We give a survey of methods used to connect the study of ternary diophantine equations to modern techniques coming from the theory of modular forms.

Involutory elliptic curves over 𝔽 q ( T )

Andreas Schweizer (1998)

Journal de théorie des nombres de Bordeaux

Similarity:

For n 𝔽 q [ T ] let G be a subgroup of the Atkin-Lehner involutions of the Drinfeld modular curve X 0 ( 𝔫 ) . We determine all 𝔫 and G for which the quotient curve G X 0 ( 𝔫 ) is rational or elliptic.