Elliptic curves over real quadratic fields are modular

By Nuno Freitas, Bao V. Le Hung, Samir Siksek. 2013

132 citations recorded by the source corpus.

We prove that all elliptic curves defined over real quadratic fields are modular.

Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/784092b81c318ec55fbfd68d46f5accdc9d7b53e

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Algebra and Number Theory

1. Jennifer S. Balakrishnan
2. Netan Dogra

In Geometry and Topology

1. Netan Dogra
2. Jennifer S. Balakrishnan

In Mathematical Physics

1. Jennifer S. Balakrishnan
2. Netan Dogra

Citations in the corpus

• Quadratic Chabauty and Rational Points II: Generalised Height Functions on Selmer Varieties (2017, background): “In general, by Freitas, Le Hung, and Siksek [27] we know that Ea/K0 is modular.”